diff --git "a/data/dm_maths/full_data/11035_11255.jsonl" "b/data/dm_maths/full_data/11035_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11035_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third biggest value in 0.5, -1\/7, -6639?\nAnswer: -6639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, 0.32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/5)\/((-3)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -4. Suppose 2*y - f = -2. What is the smallest common multiple of 8 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/5)\/((-1232)\/(-2310))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 2*a - 4 - 3*a + 0*a to q + w*a and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = -2*p. Let a be (-9)\/3 + 8*p. Let j = a + 6. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17391, 34798, 52207, 69618, 87031?\nAnswer: 104446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01850544 rounded to four dps?\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b4a (base 14) in base 5?\nAnswer: -313304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbwbbwbbb. Give prob of picking 2 w and 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23537*w**3 - 23537*w**3 - 7 + 14*w**2 - 24*w + 12 + w**4 wrt w?\nAnswer: 12*w**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521459 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {k: 4, d: 2, p: 2, i: 3, l: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9064, -4, 4, -5, -42, -1.\nAnswer: -42, -5, -4, -1, 4, 9064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 22255180.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:16 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474 + 2351 + 5173 - 975 + 323*p.\nAnswer: 323*p + 7023","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + -9 - (0 - 0). Let w(z) = 1. Let u(j) = 2*j. Let o(n) = d*u(n) - 3*w(n). Let p(m) = -m + 3. Let v(q) = -4*o(q) - 5*p(q). What is v(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34173 divided by -4.\nAnswer: 34173\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 24*i + 154 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-2)*-10*3\/15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n + 21*n**2 - 19*n**2)*(4 + 0 - 2)*(-4 - 786*n + 5 + 307*n).\nAnswer: -1916*n**3 + 4794*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 3*z)*(1 - 1 + 3) + z + 0*z + 2*z - 7*z - 17 + 17 + (-3 + 4 - 2)*(2 - 2*z - 2).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (335\/(-35) - -9)*3*1\/(-36).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) -3 (c) 2\/1569 (d) 4\/7 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 49\/4*t**4 + t + 21\/4*t**3 + 6*t**2.\nAnswer: -t*(t - 1)*(7*t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -120*i + 3. Let r(z) = -236*z + 5. Give -4*r(k) + 7*t(k).\nAnswer: 104*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -39. Let v = -11 + u. What is the remainder when -2 + 23 - (0 - 0) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*r**2 - 25*r**2 - 40*r**2 - 6*r**2.\nAnswer: -125*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 30*b - 140 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:12 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3946*i**2 + 451*i**2 - 3511*i**2 to the form v*i + f + r*i**2 and give r.\nAnswer: -7006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/3 - 944*u\/3 - 111392\/3 = 0?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmu when three letters picked without replacement from uuummuuuu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 - -101000100?\nAnswer: 101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -15*w + 35 - 115 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9092 divided by -2?\nAnswer: 4546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1332*o + 2219*o + 6463*o + 44675 + 72925 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1866, 3789, 5842, 8091, 10602, 13441, 16674, 20367?\nAnswer: 24586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 7*x + 1. Let g be l(7). Suppose 5*p - 2*p = 6, -4*a - 2*p + 16 = 0. Suppose -a*s = -1 - 5. Solve -f + g = -s, 4*c - 3*f = -17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103637 is divided by 20727.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-3)\/(-10))\/(1074\/895).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d**3 + 0*d**3 + 7*d**3)*(3*d**2 + d**2 - 7*d**2).\nAnswer: -48*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 13*w**2 + 38*w - 234. Let j be m(14). Which is smaller: 1106\/11 or j?\nAnswer: 1106\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 450103 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104564 is divided by 372?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d*d\/(d\/(d*d**(3\/5)*d)))*d**(-1\/3))\/(d**(2\/7)*d)**(-2\/23)*(d*d**1\/d)**(-26\/5)*(d*d**0*d)**26 assuming d is positive.\nAnswer: d**(106208\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 2. Let o(t) = -5*t - 5. Let m(n) = 7*c(n) + 3*o(n). Let y be m(-3). What is the derivative of -3 + j**2 + 3*j**4 + 5 - j**y wrt j?\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/364*12)\/((-8)\/(-28)*8)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + 1 + sqrt(175) + (-3 + (sqrt(2268) + (sqrt(2268) - (3 + sqrt(2268))) - sqrt(2268)) - sqrt(2268) - sqrt(2268)))**2.\nAnswer: 620*sqrt(7) + 6827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w**3 + 0*w + 0*w**5 + 3\/2*w**2 + 0*w**4 + 1\/3*w**6 - 5. What is the second derivative of l(j) wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -468, -705, -954, -1221, -1512?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.14 from 752810531950.\nAnswer: 752810531950.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*q - 4393, q + 1 = -4. What is the greatest common divisor of u and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25879108, -25879107, -25879106, -25879105?\n\"Answer: v - 25879109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 3*n**4\/2 + 7*n**2\/2 - 9. Let f(s) = 2*s**3 - 6*s**3 + 4*s**3 + 3*s + 3*s**3. Give 7*f(m) - 3*r(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 17931975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 11:27 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/360 - y**5\/30 + y**4\/3 + 10*y**3\/3 + 27*y. Let p(g) be the second derivative of v(g). Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:21 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - -6019586919\nAnswer: 6019586919.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 28*b - 44. Let s(v) = -5*v**2 + 48*v - 86. Determine 7*l(z) - 4*s(z).\nAnswer: -z**2 + 4*z + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 2. Calculate the lowest common multiple of 20 and d(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213\/28 - 62\/7. What is the biggest value in -0.1, n, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*((5*((sqrt(567) - -1*sqrt(567)) + sqrt(567)))\/(sqrt(81)\/(-1*sqrt(9))) + 0).\nAnswer: -2 + 135*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(1*(-1 + sqrt(405)) - (sqrt(405) - (-5 + (sqrt(405) - sqrt(405)*-2))))**2 + sqrt(405)*1 + -1 + (sqrt(405) + -1 + sqrt(405)*-1 + sqrt(405))**2).\nAnswer: -56430 + 4887*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -113, 6\/7, 2\/15, -81, 0.3 in increasing order.\nAnswer: -113, -81, 2\/15, 0.3, 6\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-147)*(-9)\/12.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r**2)*(r - 2*r + 0*r) + (-15*r + 6*r + 14*r)*(-7*r**2 + 2*r**2 + 3*r**2).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - r = 149, 4*r - 53 = -t - r. Let o = -341 + 531. Calculate the highest common divisor of o and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13908 + 13907.300032. Let i = 0.7 + u. What is i rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2 + 3*y + 3)*(4*y - 21*y**3 - 4*y).\nAnswer: -21*y**4 - 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - 2201 + 5233. Suppose -39 = -19*c + n. Calculate the least common multiple of 121 and c.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -911*s. Let l(d) = 40*d - 357. What is l(t(b))?\nAnswer: -36440*b - 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o + 1. Let m be i(3). Let d be 342\/114 + (-3 - (-2 - -1)). Solve -c + d = m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(14\/5)*(r**(-5\/3)*r)\/r*(r*r*r**(1\/5)*r)\/r assuming r is positive.\nAnswer: r**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*n = 971, 500 = 2*w - 2*n + 16. Suppose -5*z + w = 64. Suppose -z = -3*u + 16. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 1:05 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 - 4*a**2 + 4*a - 2. Let g = -69 + 72. Let c(w) = -4*w**3 - 3*w**2 + 3*w - 1. What is g*v(k) - 4*c(k)?\nAnswer: k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (44 - (53 + -33))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 118*n**3 + 307*n**3 + 1 - 65*n**3 + 2*n - 112*n**3.\nAnswer: 12*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**7\/70 + o**5\/60 - 34*o**3\/3 + 27*o**2. Differentiate p(h) wrt h.\nAnswer: -12*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2483286 and 16.\nAnswer: 19866288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 16 + 9 + -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by -102.\nAnswer: -29\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15) + (-36)\/10. Let o = -14 - l. What is the units digit of (0 - 7)\/(-11 - o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -92, 3, -1387, -2, 7.\nAnswer: -1387, -92, -2, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4\/5 + 6984*n**3\/5 + 105411*n**2\/5 + 56484*n\/5 - 590436\/5 = 0.\nAnswer: -14, -3, 2, 2343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 624099043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10*t = 2*x - 461, -5*x - 10 = 0. Do t and 93 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 27. Let n = 39.6 + y. Let d = -1.6 + n. Which is the nearest to d? (a) -1\/6 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(1\/3)*q)**(-21))**(2\/3) assuming q is positive.\nAnswer: q**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 5. Suppose -18*n = -22*n + 28. Let j(w) = 7 + 5*w + 2*w**2 + 2 - w**2. Give n*f(u) - 4*j(u).\nAnswer: -4*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*d**2\/2 - 156*d - 72 = 0.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-240)*10*2\/(-4).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67150 and 107151650?\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/6*(-4)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346.0774 rounded to the nearest integer?\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2314*u = 2*j - 7*j + 2309*u - 125, 121 = -2*j - 4*j - 5*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 219 - 217. Suppose -g*q + 237 = 247. Sort 4, 1, q, -50 in decreasing order.\nAnswer: 4, 1, q, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -38*k - 224 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:38 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26876540.\nAnswer: 2, 5, 811, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.71+0.0266\nAnswer: -0.6834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-2\/3)*y*y)*y**5)\/(y*(y**0\/y)\/y*y)**(1\/4) assuming y is positive.\nAnswer: y**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*d + 412 = 338, -5*d - 17 = 2*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6552077.7 and -3.\nAnswer: -6552080.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2. Let r = 9 - 23. Let y = 20 + r. Let d(v) = y*v**2 - 3*v**2 - 2*v**2. Give u(d(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95847754 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 738360.\nAnswer: 738360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 553.61565 to 0 decimal places.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**4 - 24*q**3 + 698*q - 1538701.\nAnswer: -4*q**3 - 72*q**2 + 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6285545108376034\/163330985765 + -2\/1921541009. Let y = -38484 + s. Let w = 2\/17 + y. Is w bigger than 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 680?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -855?\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012223 (base 4) to base 9.\nAnswer: -12736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-5 - -2)*-1. Suppose -9*q + 120 = -4*q. Solve -c*g - 2*t + 6*t = 29, -5*g - t = q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + 8. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 - 372494*w\/3 + 69375890018\/3.\nAnswer: (w - 372494)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = -61. Suppose 2 = -v - 2. Is 18 a factor of 6\/24 + z\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 + 39?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -37. Suppose 5 = -2*d + j, 5*d + 25 = 3*h. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmmwxmzzwwm. What is prob of picking 3 w?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 90*r - 35*r**2 - 2*r**4 + 0*r**3 + 3*r**3 - 90*r to the form i*r**3 + a*r + q + x*r**4 + g*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + m = 7, 5*m + 25 = 3*k + 2*k. Let z be 12000\/7*(6996 + k). Round z to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8919*h**2 + 12*h - 2. Let u(t) = -t. Give y(u(d)).\nAnswer: -8919*d**2 - 12*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-336)\/21)\/6?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**2 - 2*q. Let b be h(-2). Suppose -33*u + 896 - 153 = -742. What is the greatest common factor of b and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - o = -3*p + 9, -3*p + 9 = -4*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3445, -6883, -10315, -13741?\nAnswer: -17161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 + -720399581.\nAnswer: -720399614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2388, -2387, -2386, -2385?\nAnswer: -2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 + 304. What is the remainder when i is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 2. Let c be (-3888)\/(-30) - (-4)\/u. Let z = 132 - c. Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/22)\/(5\/((-2365)\/(-86))))\/((-3)\/438)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84\/(-9)*(-2)\/8. Suppose -3*w - 21 = 4*w. Let p = l + w. What is the biggest value in 7, -0.4, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 7*l**2 - 5*l - 3. Let n be h(6). Suppose 3*i + n*i - 12 = 0. Suppose i = p - 0*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/21 - 1258408*q\/21 + 197948836808\/21.\nAnswer: 2*(q - 314602)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 4538992?\nAnswer: 4538992.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 1, e: 4, m: 1, f: 2}. Give prob of sequence me.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 173, 259, 345, 431, 517?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9884 (b) -32 (c) 6\/17 (d) 4 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**3 + 4*p**2 - 15*p - 10. What is the hundreds digit of l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1540 and 4187436.\nAnswer: 146560260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -11 - 61 - (5 + -6 + 4 + -6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 3371 - 3065 + 4410.\nAnswer: 2*p**2 - 2026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-90)\/(-378) + (-2)\/3. Let i = 36\/13 - 82\/39. Sort p, i, 0.3.\nAnswer: p, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-25))\/(((-72)\/20)\/(-3)*2\/(-28)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/262 - 5311\/4192. Let p = 7908\/5 - 1594. Calculate the common denominator of p and g.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - o**3 - 66*o + 65*o - 10*o**4 + 70*o**4 as z*o**4 + g*o + b*o**3 + p + a*o**2 and give z.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.5 + -6.3. Let t = 8.2 - x. What is the closest to t in -1\/2, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/11060 and 31\/45820?\nAnswer: 320740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90055.1 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1868, -5 in decreasing order.\nAnswer: 15, -5, -1868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*l - l. Let x be -4 - -1 - (l + -13). Suppose 4*d = 7*d - x. Solve d*r + 16 = 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:11 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + (sqrt(171) + 2 + -5 - sqrt(171))) + -2)**2 + 0.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-758991 + 1155*y**2 + 758991)*(-3*y - y + 2*y)*(3*y + y**2 - 3*y).\nAnswer: -2310*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from uluuiuuxiul.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jajaannnnaaannj. What is prob of picking 1 a and 2 n?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n**3 + 19*n**2 - 10*n - 1. Let m(w) = -w**4 + w**3 + 1. Let v(k) = -d(k) - m(k). Factor v(t).\nAnswer: t*(t - 1)**2*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/169 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/2437 in 2\/15, -1\/3, 8325?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23a (base 13) to base 5\nAnswer: -3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 138*r**2 + 2*r**2 + 9128*r - 9128*r.\nAnswer: 140*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -442, -443, -444, -445, -446, -447?\n\"Answer: -q - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.7924 millennia to decades.\nAnswer: 8379.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 2191 = -21*p. Suppose 2*s - p = -5*v, -4*v - 5*s = -186 - 61. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**3*y - 140709*o**3 + 5102*y + 1971 wrt o.\nAnswer: -12*o**2*y - 422127*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-7))\/(4\/14). Which is the second smallest value? (a) -2\/5 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 963 - -29?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38643432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**4 - 27136231*h**2 + 58279297 wrt h.\nAnswer: -8*h**3 - 54272462*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7952.599 kilograms?\nAnswer: 7952599000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3313 + -3350.71. Let q = i - -38. What is the nearest to 0 in -4, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -375*v**2 - 4099*v + 302. Determine x(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - x + 1, 3*g + 3 = 5*g + 3*x. Let t be (1\/(1\/(-1)))\/(-39). Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3, -29, -18, 1 in ascending order.\nAnswer: -29, -18, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44+-353\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 555649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(1\/3)*o))\/(o\/o**12*o*o))\/(o**4)**(-35) assuming o is positive.\nAnswer: o**(446\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -420000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 - 1.35. Let f = -1723 + 445. Let d = f - -3836\/3. Is d not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 8*u + 61, -7*i - 46 = -3*u + 110 - 28 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146985 is divided by 146895.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 10:09 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392*58\/464 + (-12 - (6 + -4))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rirrriirrirrri. What is prob of sequence irr?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 272 + 14 + 1*2. What is the greatest common factor of n and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34226623*v**5 - 1037490*v**2 - 19*v - 1 wrt v?\nAnswer: -2053597380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 873 - 30*v + 275 + 287.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor -26936*m**2 + 43508*m - 10232.\nAnswer: -4*(7*m - 2)*(962*m - 1279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24676, 24970, 25266, 25564, 25864, 26166?\nAnswer: 26470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13. Let m be (c + 4\/(-5))\/((-6)\/5). Sort -2\/7, 5, m, 1 in descending order.\nAnswer: 5, 1, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*d + 26, 17*j + 20 = -2*d + 13*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49 and 7.760324.\nAnswer: 56.760324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -306, -312, -328, -360, -414?\n\"Answer: -i**3 + i**2 - 2*i - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 1, e: 1, z: 1, c: 1}. Give prob of sequence ezm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:32 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -268540*q**2 - 1060928*q wrt q.\nAnswer: -537080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1211\/5 - 2\/10. Suppose 0 = 5*r - 8*n - 260, 3*r - 22*n = -27*n + 107. Calculate the highest common factor of u and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3272, -3090, -2908?\n\"Answer: 182*w - 3454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -198*l. Let c(y) = -163*y**2. Calculate d(c(o)).\nAnswer: 32274*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5715505, 11431019, 17146533, 22862047, 28577561, 34293075?\n\"Answer: 5715514*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54635654?\nAnswer: 2, 17, 127, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-101)\/(-2) - ((-819)\/(-42) + -17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiia. Give prob of sequence iaii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 468, -17, 193, -1.\nAnswer: -17, -1, 193, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 4, -1, -41.\nAnswer: -56, -41, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 4*i**2 - i - 1. Let f be h(-4). Is 0 + 94*f\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19975, -5, -2\/11, 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7 = 5*p - 11, 2*x + 3*p - 16 = 0. Which is the nearest to 0.1? (a) x (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 9*d + 22. Let v(w) = -3*w**2 - 12*w + 34. Let q(s) = 7*u(s) - 5*v(s). Calculate q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171945113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 513370774273 from -10.\nAnswer: -513370774283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/43, 1\/8, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31200*b**3 - 13468*b**2 wrt b?\nAnswer: -187200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (7 + -3)) + 17. Let u = p + -21. What is the tens digit of ((-21)\/9)\/(1\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-3 - 39\/9). Suppose -l + 3*f + 11 = -0*l, -4*l + n = f. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (1 - (-2)\/2). Let i be n + 2 + -3 + 26. Let u = i + -15. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -27. Sort 3, j, 5 in ascending order.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 1. Let x(t) = 2*t**2 - 6. Let a(h) = -6*c(h) - x(h). Let w(d) = -4507*d**2. Determine a(w(s)).\nAnswer: 81252196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3 - 3 + 2 + 3 + (5 - 1 - 5)*(-5 + 0 + 4) - 3 + 2 + 3)*(-1090*p**5 - 333*p**5 - 742*p**5)*(-3 - 1 + 6).\nAnswer: -30310*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + t - 24. Let v be u(0). Let i be 66\/v + 1 + 2. Let 0*d - 1\/4*d**2 + i = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 and 69\/358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -19*l - 4. Let d(k) = -456*k - 95. Let b = 10 + -14. Let f(c) = b*d(c) + 95*p(c). Is f(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4 - 4. Find the first derivative of s*j - 2 + 2 - 1 + 3 wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001311783967 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 + 178308642*u - 7948492952971041 = 0. Calculate u.\nAnswer: 89154321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 9*p**2 - 10*p - 4. Let t be w(-8). Let m = t - 9. Suppose 75 = m*l - 57. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2543453448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(0 + 0 + 0). Suppose -79 = -5*y + 4*r, m = 3*y + 2*r + 2*r - 41. What is the highest common factor of y and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66.01 + 66. Let t be (-64)\/200*(-40)\/32. What is the smallest value in t, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438*g - 563*g - 42741 = -708*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4 + i**4 - i**4 - 5*i**2 - i**4 - 3*i - i**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48951, -48945, -48921, -48867, -48771, -48621, -48405, -48111?\n\"Answer: 2*f**3 - 3*f**2 + f - 48951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91\/144 + -3\/16. Which is the nearest to -1? (a) -4 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + b + 3. Let k(d) be the first derivative of -d**3 + 3*d**2\/2 + 7*d - 4. What is 5*j(s) - 2*k(s)?\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1632 and 1224.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 30, 75, 152, 273, 450, 695?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 5*p - 4*p + (-2 + 6 - 3)*(-3*p - p + 3*p) + (4*p - p - p)*(-2 + 4 - 3).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-12) + 1)\/(8932\/264 + -34) - 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 44 + 328. Suppose 0 = 2*d + 2, 0 = 8*q - 6*q + 5*d - 119. Let p = h - q. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*1*sqrt(133) - -6*(-2*sqrt(133) + sqrt(133))))\/(4*3*sqrt(847)*5).\nAnswer: sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:02 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50293.\nAnswer: 19, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 6. Let l be 4\/(-6)*9\/v. What is the derivative of -3 + 3*h - l*h + 2*h**3 + h**3 wrt h?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/13)*t*t)\/(t**(2\/13)\/t))**33\/((t\/(t*t\/((t\/(t\/t**5))\/t*t)))\/t**(-1)*(t\/(t*t**(-1\/3)))**30) assuming t is positive.\nAnswer: t**(960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/76 and -89\/92.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 189, 293, 397, 501, 605?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45, -61\/2, -4?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275 (base 13) to base 3.\nAnswer: 121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -3*l. Let k = -5 + -1. Let d(b) = -b**2 + b. Let j(z) = -5*z**2 + 7*z + 2. Give k*d(g) + l*j(g).\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 60 = 16. Solve 0*z - 4*z + c*x = 4, -16 = 4*z + 2*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 - -3.94. Let r = -21.034 + 21. Let q = h + r. What is q rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -1\/105*i**6 - 2 + 1\/21*i**3 + 1\/42*i**4 + 0*i**2 + 3*i - 1\/70*i**5. Let m(a) be the first derivative of n(a). Factor m(o).\nAnswer: -2*o*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 + -419?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 8)*24\/24. Let k be b\/(-7) + 21 + 2. Let u = k - -42. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from dddxdddddddddddddd.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*b + 4*s, 2*s + 6 = 13*b - 12*b. Factor b + 2\/5*f**3 + 2\/5*f - 4\/5*f**2.\nAnswer: 2*f*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 58320 + 545*f**2 + 5\/2*f**3 + 30240*f = 0.\nAnswer: -108, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 4*u + 7*u = -g + 35, 59*u = -5*g - 245 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*d = -34 - 18, 3*d = -6. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55526, 55565, 55606, 55649, 55694, 55741?\n\"Answer: l**2 + 36*l + 55489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*l - 4, o - 3*l - 20 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(3\/5))*d*d*d**(5\/4))\/((d**(-6)*d)\/d*d**(10\/9)) assuming d is positive.\nAnswer: d**(1537\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 881037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845370871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4769, -4775, -4781, -4787, -4793?\n\"Answer: -6*r - 4763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*v + 15, 4*h + 6*v = v + 105. Solve 0 = 5*t - h, -4*t - 3 + 19 = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 - 10*x + 7. Let c(l) = 5*l**2 - 5*l + 3. Let h(o) = -9*c(o) + 4*g(o). Calculate the remainder when 14 is divided by h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 take away 37.249?\nAnswer: -146.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/41 - 167\/861. What is the second biggest value in l, -4, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:53 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-649.12.\nAnswer: -11684.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100100 (base 2) to base 8.\nAnswer: -744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17356 = 5*d - 3*c + 4970, 4*c + 4960 = 2*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 16*t**2 - 15*t + 38. Let c be x(-17). Let u be (-1 + 2)\/((-3)\/(-9)). Solve -9 = -3*v - u*d, -2 = -3*d + c*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 14. Find the common denominator of (35427\/539 + -59)*((-1)\/18 - 0) and f\/(-6) + (-76)\/(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g - 260. Determine z(25).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26357, -26351, -26345?\nAnswer: -26339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/((-5)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((5*sqrt(400) - sqrt(4)) + sqrt(4)) + -1 + (sqrt(45) + (sqrt(225)\/sqrt(5) - sqrt(45)))\/sqrt(9) + -3*sqrt(5)*3.\nAnswer: -399*sqrt(5)\/50 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 - 1038*d**2 - 1055*d + 4889. Determine o(347).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 + 197. What is the second derivative of -10*a**n - 7*a + a + 8*a**3 + 0*a - 9 - 62*a**2 wrt a?\nAnswer: -12*a - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(102) + sqrt(102)*-2 - sqrt(102))*-2)\/(-6*(sqrt(6) + -1*sqrt(54)))*-4.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w\/w**(-5)*w)**(34\/5)*w**(-2\/3)*w**(-1)*(w\/(w*w**(-1)))\/((w\/(w*(w**5\/w)\/w))\/w) assuming w is positive.\nAnswer: w**(214\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 0 - (-4 - (-4 + (1 - 12) + 17))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10169887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13.83481 years?\nAnswer: 1.383481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29929915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775243449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 67. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205 + 217. Solve -3*u - k = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*f + 3*f - 75, 4*f = 4*j + 92. Let m = 97 - f. Are 78 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**6\/360 - v**5\/30 - v**4\/6 + 8*v**3\/3 + 9. Let a(x) be the third derivative of z(x). Let f = 189 - 193. What is a(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 378\/485 - -2\/97. Let c(k) = -k**2 + 9*k + 22. Let z be c(-2). Factor a*o**2 - 2\/5*o + z.\nAnswer: 2*o*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*a**4 - 1132*a**3 - 100*a**2 + 5869*a?\nAnswer: 1680*a - 6792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39780661013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(35)\/(5*sqrt(125))*-2 + -3.\nAnswer: -3 - 4*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 44\/5 of a week?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184730.\nAnswer: 2, 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g**2 - 3*g + 4. Let z(k) = k**3 - 3*k**2 - k + 1. What is j(r) - z(r)?\nAnswer: -r**3 - 6*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028966 rounded to 7 dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/7 + 4*y**2 + 50*y\/7 + 24\/7 = 0. What is y?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 9*n + 20. Determine t(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -404 + 395. Let g be (-24)\/a + 52\/156. Suppose 4*f - 5*f = -4*n + 22, 10 = 4*n + 5*f. Solve 0 = n*h - g*u + 17, -13 = 4*h - 2*h + 5*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3852 by -136.\nAnswer: -963\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 852, 1027, 1262, 1557, 1912?\nAnswer: 2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 12:18 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 34*q + 27. Which is the biggest value? (a) q (b) 0.067 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10315441224 - 1?\nAnswer: -10315441225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 4*r**2 + 3*r + 3. Let p be c(-3). Suppose 105 = 2*g + p*g - 2*a, 0 = g - 2*a - 29. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26837541 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 354.71053?\nAnswer: -35.471053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -93. Let k be (s - 4) + 5 + (1785 - -2). Suppose -8*b = 316 - k. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.65, 95, 0.1, -19?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66819447 to the power of 1\/2, to the nearest integer?\nAnswer: 8174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.49 to 0 dps.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2634 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3977124241 to the nearest integer?\nAnswer: 63064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2328 and 16\/1261.\nAnswer: 30264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = -4*q. Suppose 2*y + 2*y = -4*j + 24, q*y - 16 = -4*j. Suppose -4*t = -3*f + y + 4, f + 3*t = -9. Solve 2 = v + g + 4, -2*g + 4 = f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2072875 and 1150?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/7 + 31*g\/7 - 390 = 0.\nAnswer: -70, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 6) to base 15.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.6 (b) 6\/5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.567 to 1 decimal place.\nAnswer: 31.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 39 = 6*q. Let v be 2 + (-1)\/(3\/q) + 0. Suppose -4*z + v*u + 32 = -2*z, z - 14 = 2*u. Calculate the remainder when 105 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 438979197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4\/9, 3.288, -6097?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/580 and -123\/5800?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5389 - -6235. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 - z + 675 + z + 5*z.\nAnswer: 5*z + 1091","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -927, -2083, -3409, -4905, -6571?\n\"Answer: -85*o**2 - 901*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*w + 5*g = -464*w, 2*g + g = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -108. Suppose 0 = -m + 7 - 3. What is the least common multiple of f - (-15)\/(-10) - (-42)\/4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8463 is divided by 2114.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 3 + 3 + (-524*y - 437*y + 61*y)*(-y + 3*y + 0*y).\nAnswer: -1801*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 194 = 4*f, 3*r + 56 + 226 = -3*f. Let a = r - -136. Suppose 4*g = -13 + a. Is 7 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 s when four letters picked without replacement from {b: 11, s: 5}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 divided by 3?\nAnswer: 341\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -1. Let h = k + 15. Suppose h = -4*v - 4*g + 25 + 3, g = v - 11. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2 - 3*j - 2. Calculate p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117737\/419472 + -68\/971. What is the common denominator of a and 23\/360?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 179*k**4 - 6*k**2 + 8*k + 63. Let l(h) = -536*h**4 + 17*h**2 - 23*h - 188. Let f(z) = -6*l(z) - 17*y(z). Find the second derivative of f(b) wrt b.\nAnswer: 2076*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - l**5 - 4*l**5 + l**5 + 2*l**5 - 18*l**5 - 3*l**5 + 6*l**5 - 4*l**5 + (2 - l**3 - 2)*(0*l**2 + 0*l**2 + 2*l**2).\nAnswer: -25*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1220.000511 + -1220. Let w = -27.978489 - c. Let s = 28 + w. What is s rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**2\/2 + 173. Let d(r) = -5*r - 1. Calculate d(q) + 3*w(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/225 + (-4)\/30*-129. Solve c = b*c + 80 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 14*d**2 - 3*d + 11. Let g(z) = -2*z**2 - z - 1. Let o(y) = 4*g(y) + u(y). Let f be o(2). Sort 4, f, 2 in ascending order.\nAnswer: 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26970 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34735.8 - 34736. Which is the closest to 2\/3? (a) f (b) -2093 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 + 5*i**2 + 42. Let m(j) = -j**3 - 2*j**2 - 22. Give -5*m(n) - 2*q(n).\nAnswer: -3*n**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 5. Let k be h(2). Suppose 0 = -4*c + k*n + 6, -4*c + 8*n - 3*n + 10 = 0. Solve 2*u = -8, c*a - 3*u - 32 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 499149 and 18?\nAnswer: 998298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1653.7 in 2, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611771327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, j: 11}. What is prob of picking 3 j?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18628 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10686)\/(-411))\/(2*1\/3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 8.72138 seconds in milliseconds?\nAnswer: 8721.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 68*n - 365. Let o = 17947 + -17952. Calculate k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/9 - 2\/9. Let w(u) = u**3 - 4*u**2 - 6*u + 5. Let o be w(5). Suppose -3*z + 2*z + 1 = o. Which is the third smallest value? (a) -2 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2726 + -1538. Calculate the remainder when 31 is divided by w\/110 - 2\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 - 32 = 4*j. What is the third derivative of 18*m**4 - j - 26*m**2 + m**4 + 23 wrt m?\nAnswer: 456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose 0 = 5*l - 27 + 17. Let j = l + p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-4) + 7\/28. Let n(i) be the first derivative of -10\/3*i**3 + i**2 + c*i**4 - 1 - 6\/5*i**5 + 0*i. Determine x so that n(x) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (1 + -24) - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-24))**(14\/5)\/(a**(-13\/2)*a**37*a*a))**(-5\/8) assuming a is positive.\nAnswer: a**(969\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*d**3 - 49*d**3 + 32*d**3 - 45*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 100*n**3 - 8*n - 99*n**3 - 5*n + 5*n + 11*n**2. Is o(-7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 - -4. Let q = s - 0.5. Let d = q + -0.3. What is the biggest value in -2\/5, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 15756*l + 94479. Give p(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 24. Let g(w) = -w + 0*w - p*w. Let s(n) = 3*n**2. Determine s(g(o)).\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1410\/(-1504)*12*24\/99\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**7\/168 + m**5\/24 - 2*m**3 - 5. Let f(g) be the third derivative of p(g). Factor f(v).\nAnswer: -5*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.1 + 1.1. Let v = 7 + k. Which is the third biggest value? (a) v (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11387335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*10\/(-300)*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 6273*i**2 - 12534*i.\nAnswer: -3*i*(i + 2)*(i + 2089)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -16\/3. Suppose -o*j**2 + 0*j + 0 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**7\/105 - 19*s**6\/60 - 33*s**5\/10 - 27*s**4\/4 - 173*s**2 - 2. What is r in a(r) = 0?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 2*a**2 - 5*a**2 + (3*a - a - a)*(-4*a + 2*a - 4*a) to w*a + o + k*a**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 30 + 31 + 90 in the form i*m + a and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-832)*(-448)\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*p - 1381 = -1074 + 2966 + 1875 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*-4 + (sqrt(153) - (1*sqrt(153) - sqrt(153))*5))\/((1*sqrt(576) + sqrt(576))*-1*-6).\nAnswer: 13*sqrt(17)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**6 + 1083*t**5 - 12*t**4 + 2*t**2 - 125244*t - 5.\nAnswer: -120*t**3 + 64980*t**2 - 288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 41059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -151 - -5729?\nAnswer: 55b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(3*9\/(-3))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9437236837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3. Suppose -2*f + s - 187 = 0, f + 129 = -5*s + 19. Let w be f\/(-20) + -4 - (-198)\/(-8). Let l(d) = -28*d**3. What is w*h(z) + l(z)?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11565 by -74.\nAnswer: -11565\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 1. Let y be j(-1). Suppose 57*p - 74*p + 3400 = 0. Find the second derivative of -97*h**4 + p*h**4 - 102*h**y - 39*h wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -520*u + 516*u + 39, 2*o = u + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b - 1. Let l(k) = -3*k**3 + 4. Let q = 3 - 4. Let r(h) = q*l(h) - 2*c(h). Let i(o) = o**3 - 1. What is -2*i(v) + r(v)?\nAnswer: -v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llf when three letters picked without replacement from fffnfkfffflflflwcff?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274 - 6848\/25. Let c be (-12)\/135*(-66)\/(-10). Let w = l - c. What is the third smallest value in w, -5, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 0.09, -1\/6, 4\/3, 5.3 in decreasing order.\nAnswer: 5.3, 4\/3, 1, 0.09, -1\/6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 + 4 = 0. Let d(r) = 34*r + 3. Let l(s) = -11*s - 1. Let v(x) = 2*d(x) + 7*l(x). What are the prime factors of v(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 - 103. Let o be (-10)\/y*-7 + 0. Solve 5*n - o*n - 4*h = 17, -2*h - 19 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29540 and 40?\nAnswer: 59080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -5.12. Let t = -0.03 + -0.02. Let q = -2.95 + t. What is the smallest value in u, q, 2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 11.2, 0.5, -0.07?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a = -5. Let k(w) = -w**2 + 5*w - 1. Let x be k(0). Sort a, 4, x.\nAnswer: x, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 86. Suppose 5*l = 2*o + w - 120, -43 = -o + l. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c + 78768 = -3836029. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let r(f) = 7*f**2 - 1420*f. Determine r(c(h)).\nAnswer: 7*h**4 + 1420*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 13*p - 110. Let r be f(19). Let l(t) = 3556252*t**2 - 11*t + 12. Let i be l(r). Round i to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143960543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151957 greater than 152178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 + 565*j**3 + 442*j**2 wrt j?\nAnswer: 24*j + 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*d - 1. Suppose -1 = 3*p + d. Is p - -8*14\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68)*2 - sqrt(68) - sqrt(68) - sqrt(68) - sqrt(68)) - (4*2*sqrt(68) - sqrt(68)))\/(2*(sqrt(48)\/sqrt(6))\/sqrt(2)).\nAnswer: -17*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2694*i + 4288851. Calculate u(-1592).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/7)\/g)**(2\/21))**50*(g*g**(-1\/3)*g*((g**0\/g)\/g)\/g)\/(g*g*g**0*g*g)**(-2\/99) assuming g is positive.\nAnswer: g**(-12676\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:26 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 53462 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = 2*p, 7*p - 2 = 6*p. Solve t = 20*h - 9*h + 33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 5*r - 3*r)*(10 + 21 + 30)*(-5 - 2 + 6)*(-1 + 3 + 0)*(1 - 2 + 6)*(2 - 4 + 3) to the form y*r + p and give y.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.6832 millennia in months?\nAnswer: 2756198.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/(807\/1345)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 11189*z. Let d(q) = -6*q + 9. What is x(d(l))?\nAnswer: -36*l**2 - 67026*l + 100620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46371 in 2\/3, 0, -2\/25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**5 + 3607*l**4 - 7*l**3 + 122211*l**2.\nAnswer: 120*l**2 + 86568*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(12)\/(sqrt(6)*1)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2 + 4*i**4 - 4*i**4 - 9*i**5 + 14*i**5 wrt i.\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 332.57 and -8.\nAnswer: -2660.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-15)*(-18)\/((-1080)\/(-750))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 b when three letters picked without replacement from cnxnccbnfnncbccc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + sqrt(68) + 1 + 4 + (sqrt(68) + (sqrt(68) + sqrt(68) + -3*sqrt(68)*-1 - sqrt(68)) - -6*-1*sqrt(68)))**2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 84, 92, 98, 102, 104, 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18683, 2, -54 in decreasing order.\nAnswer: 5, 2, -54, -18683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6717268.1628635 + -0.9.\nAnswer: 6717267.2628635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c + 3 + 2*c**3 + 3*c**4 - 5*c**4 - 17*c - 6*c**2 + 9*c to the form x*c**2 + l*c + w*c**4 + a + p*c**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4035*-1928.2\nAnswer: 7780287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128.57 - 23.67. Round y to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 118*j**2 + 5894*j - 303. Determine c(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 28114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/33 and (2\/8)\/((60\/286)\/10).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1233222314?\nAnswer: -1233222312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u + 14 = 51*u. Let h(d) = 2*d**3 - d**2 + 4*d - 2. What is the units digit of h(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + (-107)\/(-3). Let i be 44\/y - 1\/1. Put -0.1, i, -0.3 in increasing order.\nAnswer: -0.3, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(4 + -9) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.3 - -6.2. Which is the closest to 0? (a) -2\/3 (b) 1\/4 (c) 1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -213, -841, -2063, -4077?\nAnswer: -7081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 418676.9 nanometers?\nAnswer: 0.0000004186769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88214916 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579 + 3*t - 198 - 189 - 192.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.74 (b) -0.5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 29*o**2 - 112*o + 20. Let k be u(5). Solve -16*x - k = -28*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-33)\/h)**(10\/3)*(h\/(h*h**(2\/23)*h)*h)\/h*h*h\/(h*h**10\/h) assuming h is positive.\nAnswer: h**(-8447\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25064432 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7747*n = -707776 - 198623 for n.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(3\/5)*m)\/(m*m**(-9)))\/(m**(-2\/11)\/m*m**8))**8 assuming m is positive.\nAnswer: m**(1664\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4651.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-90))\/((-77)\/(-70))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040 (base 6) in base 8?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 4.\nAnswer: 195\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1715644 and 4473.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 22. Let p(s) = -12*s - 110. Let f(n) = 11*n - 22. Let b be f(3). Let d(x) = b*a(x) - 2*p(x). Let o be d(-10). Is -42 != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 2*r + 4*r)*(136*r + r + 13*r) in the form g + t*r + f*r**2 and give f.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + -1a?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-126)\/35 - -5 - 2\/2. Factor 4\/5 - a*c**2 + 2\/5*c.\nAnswer: -2*(c - 2)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8047296 and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1832 - 1829. Which is smaller: -224 or f?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1149562*o + 791058 wrt o?\nAnswer: -1149562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55232606968 + 7686.\nAnswer: 55232614654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 30. Let j be (4\/q)\/((-2)\/36). Suppose j = 3*b, 0 = 4*k + k - b - 108. Calculate the remainder when 63 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, 100, 221, 342?\n\"Answer: 121*b - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001036598 rounded to six dps?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 73*r**2 + 646*r + 1008.\nAnswer: (r + 2)*(r + 8)*(r + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 5*l**4 + 9*l**4 + 5*l**3.\nAnswer: 4*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37482554 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131400 + 4?\nAnswer: 131404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 1. Suppose -o = -5*n - j, -2*o + 0*n = 4*n - 96. Suppose -5*l = 4*u - 273, -3*u + 145 = 2*l + o. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {f: 1, h: 1, v: 4, u: 2, s: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 278419.\nAnswer: 1\/278419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = g - 4, -3*g + 25 = -4*c. What is the remainder when 30 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75372\/10849)\/((-12)\/114)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -199\/201960 and 73\/50490?\nAnswer: 201960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.81 - -6.19. Let y = p - 6.56. Round y to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02540241 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1320021 (base 4) to base 11\nAnswer: 5860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90089301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1209265.971 + 23431\nAnswer: -1185834.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4468485 - -1493987\nAnswer: 5962472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 64. Let j(x) = 5*x - 2*x - x. Let s(y) = -10*y. What is i*j(n) + 3*s(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 397760 and 99440.\nAnswer: 397760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -767*h**4 + 279*h**2 - 676*h**2 - 574*h**4 - 5240*h**2 wrt h.\nAnswer: -32184*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/2*n**2 + 5 - 1\/2*n**4 + n**3 + 0*n. Factor f(c).\nAnswer: -c*(c - 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k**(-1))\/(k**(4\/3)\/k**5) assuming k is positive.\nAnswer: k**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/(z**(2\/7)*z))**(4\/25)\/((z\/(z\/(z*z**0\/z)*z))\/(z**(-1\/6)*z)*(z*z\/(z*z\/(z\/(z**(1\/3)\/z)*z)))**(-2\/55)) assuming z is positive.\nAnswer: z**(19457\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 5*f + 6. Let u be x(-4). Let l(y) = 19*y**2 - y + 1. Let w be l(u). Suppose 0*d - 5*d + w = 0. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*w**3 - 8*o**3*w + 45*o**3 - 73*o**2*w**2 + 6*w**2 + 29 wrt w?\nAnswer: 12*o**3*w - 146*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, n: 1, g: 1, b: 5, m: 5}. Give prob of sequence zd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 2*d - 8*d)*(d**2 + 4 - 4)*(-692 - 590 - 79) as o*d**3 + f*d + t*d**2 + n and give o.\nAnswer: 4083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(-3 + 1 + 0) - 2 + 4 + 1)*(20*r + 206*r + 50*r)*(2 + 2 - 2).\nAnswer: -552*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191510253 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8)**(-2\/143)*(k\/(k*k**(2\/19)\/k))\/(k\/(k\/((k**(1\/23)\/k)\/k))) assuming k is positive.\nAnswer: k**(171186\/62491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.85 - 2.85. What is the second biggest value in 2, q, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11) + sqrt(22)\/sqrt(2) + (-6*sqrt(275))**2.\nAnswer: 2*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -18, -27, -36, -45?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*-9*1. Calculate the highest common divisor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -178432\/5 + 35686. Which is the second biggest value? (a) s (b) 3\/7 (c) 10.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -1804?\nAnswer: -1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 187 = -206*t + 651 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 1. Let h(i) = 2 + i**2 - 4*i**2 - 1. Let k(p) = 4*h(p) - 5*o(p). Differentiate k(m) with respect to m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 l when four letters picked without replacement from lllllldlldlldlllld.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*r + 243*r - 105 = 4*n - 249*r, -r - 24 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 0, k = -31*j + 33*j + 366. Let z = k - 277. What is the remainder when z is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 3:45 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + 2*p**3 + p**2\/2 - 19*p + 1. Let w be z(5). Is w equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + 2*w - 2. Let r be n(0). Let y be (6 + r)\/(-12)*-3. Let o = 8 - 4. Which is the nearest to -1? (a) y (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -51.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 20. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hhzhhkhhmhho.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/234561020 and -43\/2994396.\nAnswer: 703683060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-129))\/(-20 + 21). Sort 4, p, -0.5 in descending order.\nAnswer: 4, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1867 - 8.546\nAnswer: -8.7327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 195, 34, -113?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 + 9*k**2 + 11*k - 21 = 0 for k.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2881 - 811. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 371865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*19\/(-5)*1. Let m = o - 11. Suppose -20 = -p + g + 3*g, -3*g - m = p. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - -6 - ((-17 - 1) + 22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 13491.\nAnswer: 13487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**3 - 1\/4*y**4 + 3*y + 0*y**2 - 3. Differentiate c(w) with respect to w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**4 - 4*x**2 + 8*x - 4. Let r(n) = n**5 - 5*n**4 + 5*n**2 - 8*n + 5. Let t(k) = 4*r(k) + 5*s(k). What is the second derivative of t(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 32 = -5*x - 117, 2*x = s - 19. Is 1*3\/(s\/1255) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -116, -387, -894, -1709?\n\"Answer: -12*z**3 - 10*z**2 + 7*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 1, e: 1, z: 2, i: 3}. Give prob of sequence ei.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0*m - 5*m)*(-3*m - m + 5*m)*(-12 + 12 + 9*m) + m + m**3 - m to the form a + q*m**3 + j*m + d*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9216*z**2 + 707 - 280 + 599 + 27*z**3 - 6153*z.\nAnswer: 3*(z + 342)*(3*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**8\/48 - 7*j**4\/8 - 26*j**2. What is the second derivative of g(s) wrt s?\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119615682838+28\nAnswer: -119615682810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 3*v + 3. Let x be d(-4). Let c be (x - 2) + 1*4. Is ((-44)\/12)\/(c\/(-9)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(4*n - 6*n + 0*n)*(23*n + 4*n - 2*n)*(1 - 4 + 2).\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15*m**2 - 14*m + 1. Let y(z) = -255*z + 125. Determine y(c(r)).\nAnswer: -3825*r**2 + 3570*r - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -26*q**2 - 49*q + 108. Let s be d(19). Let r = 25600 + s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 119194 = 120463 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 26 + -43 + 54?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1514 + 1509. What is the nearest to -4 in z, -2\/11, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**4 - o**3 + o**2 - 1. Let k(d) = -20*d**4 - 16*d**2 - 2. Let h(s) = 2*c(s) - k(s). What is the third derivative of h(a) wrt a?\nAnswer: 528*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 108*a - 747. Let q(m) = -23*m**2. Calculate c(q(z)).\nAnswer: -2484*z**2 - 747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5980*q - 1 + 2122*q + 3785*q + 3 - 2)*(-q**2 + 0*q**2 - 6*q**2).\nAnswer: -83209*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22922?\nAnswer: 2, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(144) - -3*1*sqrt(36)))\/(((sqrt(432) + sqrt(432)*2 - sqrt(432))*5 + sqrt(432))*1).\nAnswer: -sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/13 + 62*a**3\/13 + 1366*a**2\/13 + 6306*a\/13 + 8460\/13 = 0.\nAnswer: -10, -3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((2 - 0) + -2). Solve z = -5*y + 8 + 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.2, 3, 0.013 in ascending order.\nAnswer: -0.2, 0.013, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w - 71. Let h(d) = -d + 10. Let p(r) = -6*h(r) - s(r). What is p(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-5)\/((-60)\/(-8))*27\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7113793*-0.2.\nAnswer: -0.54227586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 - 136. Solve -5*t + 28 = 4*s, -5*t + 10*t + s - f = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3140 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 27. Suppose -2*x + w = -2*m, 2*m + 12 = 5*x - m. What is the first derivative of 1205*u**x - 1205*u**3 - 2 + 4*u**4 wrt u?\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.5 + -209.5. Let f = -227.15 - r. Let d = 0.55 - f. Round d to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:15 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7028161 is divided by 5941.\nAnswer: 5899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 251*h**2. Let s(z) = 24*z. Give r(s(o)).\nAnswer: 144576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q**2. Let w(z) be the first derivative of z**3\/3 - 2. Give w(v(j)).\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 - 3*o + 23117. Let a(c) = 71*c**2. Give b(a(i)).\nAnswer: -20164*i**4 - 213*i**2 + 23117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 4*k - a + 958, 2*k = 5*a + 367. List the prime factors of k.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17178793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 1\/2*d**4 + 13*d**2 - 124 + 12*d + 16\/3*d**3. Solve v(u) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Sort -0.3, n, 1\/2 in increasing order.\nAnswer: -0.3, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1074 + -0.0026. Let c = -2.8 - -3. What is the third smallest value in u, c, -1\/3, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -12, -2.\nAnswer: -12, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 5 - 5)*(-4 - 10 - 20)*(0 + 0 + 2*h).\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 + -157.0000132. What is b rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 - -7. Let z = u + -1.3. Let m(q) = -q**2 + 3*q + 1. Let f be m(2). Which is the closest to z? (a) -0.1 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.8588 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121.5*33003.5.\nAnswer: -4009925.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j**(-8))\/j*j))\/j*j**(-2\/11)\/j)**42 assuming j is positive.\nAnswer: j**(3150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/9 - 22\/9*k + 14\/9*k**2 - 2\/9*k**3.\nAnswer: -2*(k - 5)*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i + 9. What is u(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + z**3 - 5*z**3 + 0*z**3 + 0*z**3 - 3*z**3 + (-z - 4 + 4)*(-z**2 + 1 - 1) + (-14 + 14 + 20*z**2)*(z + 0*z - 3*z) + 2*z**3 + z**3 - 5*z**3.\nAnswer: -50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7672)\/145768)\/(2\/19).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6 - 2. Let c be 8 - 5 - z\/2. Solve 7*i - 8*i = c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -130.5. Sort -2\/9, 1\/9, i in descending order.\nAnswer: i, 1\/9, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + v + 2. Let w(z) = 5*z**2 + 4*z + 14. Let i(m) = -6*t(m) + w(m). Give i(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5801686001 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1309*t**6\/6 + 179*t**2\/2 - 2*t + 504. Find the second derivative of z(r) wrt r.\nAnswer: 26180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwlw when four letters picked without replacement from wcgllzwbwlccwclbcb.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 306*y**2 - 4*y + 39. Let r(m) = 38*m**2 - 1. Determine q(r(t)).\nAnswer: 441864*t**4 - 23408*t**2 + 349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.515 to 0 dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + 110. Let i be p(6). Which is the third smallest value? (a) -2 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x + 1. Let g be (-57)\/(3\/(-20)*1). Let k = g - 379. What is d(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, p: 7, a: 7}. Give prob of picking 3 p.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 6*l**5\/5 + 5*l**4\/4 + 4*l + 37. Differentiate w(s) wrt s.\nAnswer: 24*s**3 + 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5403691119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.061, 4\/5, 0, -6255?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 570182938*x + 578531754 wrt x?\nAnswer: 570182938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35365 - -4\nAnswer: 35369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29542 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -514\/7. Let h = -1 + 1. Let y be 24\/10 + -2 - h. Which is the nearest to y? (a) 2 (b) t (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwqwww. Give prob of picking 3 w and 1 q.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -1, -130, 230 in descending order.\nAnswer: 230, 10, -1, -3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4598 + -4598.049245. What is d rounded to 3 decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - t - 3 + (-7 + 1 + 3)*(-t + 1 - 1) + 2 - 478*t + 179*t + 120*t as s*t + w and give s.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14575 = -39*j + 15004. Calculate the lowest common multiple of j and 222.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1463 - 1463. Sort 3, 13, n, -18.\nAnswer: -18, n, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2441 + 130?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68877983.\nAnswer: 19, 47, 137, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5 + 412*c**4 + 17174*c**3 + 244748*c**2 + 1058865*c - 1321200 = 0.\nAnswer: -367, -16, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893579146?\nAnswer: 2, 29, 449, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Calculate the remainder when 2\/(-4) + 188\/8 is divided by 4\/(r\/(-2) - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1182*b - 14 + 14 + 1170*b - 8*b**3 + 5*b**4 + 3*b**2 in the form l*b + r*b**2 + n*b**4 + i*b**3 + u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -17016?\nAnswer: -17016.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 14*i**2 - 188*i + 1373. What is f(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - y)*(-2*y**3 + y**3 - 2*y**3).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12230 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/847 and 43\/1106?\nAnswer: 133826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 1156?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 18*z - 21. Let h be c(-17). Is 34 + h + -2 + (-10)\/(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75581790 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2. Determine q(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231 + -215. What is the first derivative of 19 - s + 21 + 83*b**4 wrt b?\nAnswer: 332*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:22 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*s = 3*q + 84*s - 24, -34 = -4*q - 2*s for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) -12\/161 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 776*d - 41472.\nAnswer: -2*(d - 324)*(d - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14258719 divided by -303377?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2)*h)\/h**(1\/5))\/(h**7\/h*(h\/h**(-6))\/h)*(h*h**4)\/h**(2\/13)*h**(7\/2)\/(h*h**(-2\/21)*h) assuming h is positive.\nAnswer: h**(-5813\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, 14155, -1 in descending order.\nAnswer: 14155, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7731 is divided by 227.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 451\/(-35) + (-2)\/(-7) and (-4)\/26 - (-15005)\/780 - (-64)\/(-256)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4135516 is divided by 419.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**8)\/(t\/(t\/(t\/(t*t**(-12)\/t)*t*t))*t))\/((t\/(((t\/(t**9*t)*t)\/t)\/t))\/t**(2\/7)) assuming t is positive.\nAnswer: t**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 3, i: 1, t: 1, a: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61975838 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 285653588182 + -285665414210.90834. Let n = -11826619.908341201 - j. Let d = n - -591. Round d to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + -6*(sqrt(128)*2 + sqrt(128) - sqrt(128))*-5 + 1))**2.\nAnswer: -48000*sqrt(2) + 11520100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-10 - -5) + 0 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20\/27, -33 in descending order.\nAnswer: 3, 20\/27, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.881429ml?\nAnswer: 0.004881429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.21957 milligrams to grams.\nAnswer: 0.07021957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 + 12*d - 10. Let g be z(-7). Let m = -38 + g. Solve -5*n = -0*n + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - -1.4. Put 0.5, k, 2\/5 in ascending order.\nAnswer: k, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -4960341.\nAnswer: -4960342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -26217*g - 36. Let j be f(-26). Suppose 963394 = 7*d - j. Round d to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 9786480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2195 + -2193. Solve -3*p - 3 = 0, -y*d - 3 = -3*p - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9099 take away 0.12?\nAnswer: -9099.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + 11303100?\nAnswer: 11310102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. Let n be 6 + 4\/((-4)\/(-2)). Suppose k = -5*v + 62 + n. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 100, 323, 796, 1603, 2828?\nAnswer: 4555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39977 divided by 1281.\nAnswer: -5711\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 927 - 139 = 0. What are the prime factors of g?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2011749 * -63.\nAnswer: 126740187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -635452*o**2 - 5*o + 1794?\nAnswer: -1270904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u = 7*u - 206 + 374 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/581 and 70\/2739.\nAnswer: 19173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 119, -2\/7, 1328?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, w: 1, s: 2, q: 3, l: 1}. What is prob of sequence sttq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(((-8)\/(-4))\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -36298 bigger than -471866\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - sqrt(108)*5 - sqrt(108))\/sqrt(6))\/sqrt(6))**2 + (sqrt(108) - sqrt(108)*-1*4) + -5.\nAnswer: 30*sqrt(3) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -83 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from czmcdzc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.3 (b) -1 (c) -32 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7))\/(t*t**(1\/15)*t*t))**(-2\/19)*(t**(-3\/2)*t*t)\/(t*t*t**5\/t*t*t)*t**(4\/3)\/(t*t**(3\/4)\/t) assuming t is positive.\nAnswer: t**(-2801\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 4\/3*o**3 + 0*o + 0*o**4 + 0*o**6 + 0 + 0*o**5 + 5*o**2 + 1\/35*o**7. Differentiate v(k) with respect to k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/22*-1)\/((-6)\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 + 4*m - 3. Suppose 6 = 4*f + 5*o, -2*o + 4*o - 16 = -5*f. Let c be q(f). Is (24\/36)\/(2\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76, -151, -226, -301?\n\"Answer: -75*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/205 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -263, -335, -407?\n\"Answer: -72*x - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*y - 214330 = -212648 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261711 is divided by 236.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3030210 (base 4) to base 5.\nAnswer: -404332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**3 - 2*x**2 + x. Let o be u(1). Let l(z) = -1 - 2 + o*z - 15*z. Let v(f) = -5*f - 2. Let y(h) = -3*l(h) + 5*v(h). Give y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(1*(1 + sqrt(2)) - sqrt(2)) + -2)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 163254122?\nAnswer: 979524732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by -9.\nAnswer: -83\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f + 9*f - 10*f as u + q*f and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v**4)\/(((v*v**(-3\/7))\/v*v)\/(v*v\/((v*v\/((v**1\/v*v)\/v))\/v)*v*v)) assuming v is positive.\nAnswer: v**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 35. Let l be s(12). Let r = -66 - l. Let m = 19.1 + -19. What is the fourth smallest value in r, 3, 1\/3, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/60 - 7*g**4\/8 + 11*g**3\/6 - 200*g**2. Calculate r(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03993 and -0.4?\nAnswer: 0.015972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (6 - (-3 - -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*t**2 - 1 + 0*t + 0*t - 2*t**2 + (3*t + 3*t - 3*t)*(-2 + 2 - t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15312 by 2.\nAnswer: 7656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:26 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmk when three letters picked without replacement from mkkkmmmkmkkm?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*n + 466*n = -97396 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -270*t**5 - 21*t**4 + 22049*t wrt t?\nAnswer: -5400*t**3 - 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/64 and 37\/126.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 126\/36 - 14\/4. Does 10 divide (-12)\/(-8)*(1020\/9 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1404 and 120.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636416.8 weeks to seconds.\nAnswer: 384904880640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2850*n + 260. Let y(w) = -22*w + 2. Let b(t) = -x(t) + 130*y(t). Let i(k) = 2 + 7*k - 3 + 1. Calculate 5*b(o) + 7*i(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/189 and -167\/9965844.\nAnswer: 29897532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -255*z**3 + 48876*z**2 + 49131*z = 0.\nAnswer: -1, 0, 16377\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxyz when four letters picked without replacement from hxyxrxhxrxzyhhzhzhx?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:16 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12953999 divided by 47?\nAnswer: 275617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 2*i)*(73 + 8*i**4 - 73).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562543 is divided by 62501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 29*r**3 + 7*r**2 + 7*r - 7. Let d(s) = 15*s**3 + 4*s**2 + 4*s - 4. Calculate -7*d(p) + 4*z(p).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1294.\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18955 divided by 17?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaw when three letters picked without replacement from {w: 1, a: 2, h: 1, p: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**3 - o. Suppose 0 = 4*x + 1 - 13. Suppose -p = x*h - 1 + 8, -22 = -5*p + 4*h. Calculate the remainder when z(-1) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -43, -54, -55, -40, -3, 62, 161?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:06 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*1*(-18)\/15. What is the second smallest value in 0, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-14) + (-4170)\/168 + 24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 - 129 - 114*o**2 - 128.\nAnswer: -114*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 6*h - 7*h**4 + 8*h + 7*h + h**4 - 14*h + 1 to d*h + g*h**4 + j*h**3 + b*h**2 + o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 121 + 99. Let w be 204\/(-30) + 7 - (-98)\/10. Suppose 12 + w = z. Calculate the greatest common factor of a and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3752, -5, 17.\nAnswer: -3752, -5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b8 + 113b?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, x: 5}. Give prob of picking 4 f.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f + 226. Let a be j(-18). Solve 4*t = -3*d + a, -1 = d - 3*t + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-368) + (-268)\/(-92). Suppose -4*z + 84 = 5*l - n*z, 3*l = -5*z + 68. Solve 0 = -14*g + 10*g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:14 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28578480?\nAnswer: 2, 3, 5, 7, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018495 rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/11 + 102226*l**3 - 210744044370*l**2\/11 + 13165250696810050*l\/11 + 26331344378793500\/11.\nAnswer: -2*(l - 187415)**3*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**5 - 12*h**4 - 12*h**3 - 4*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 t when three letters picked without replacement from twvotgvowgotowgl?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 + -40. Let x = 194 + i. Solve 12 = -3*k - 2*v + x, 3*k - 5*v + 4 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 + q - 2. Let l be c(1). Let i = -7 + 11. Sort -3, l, 5, i in decreasing order.\nAnswer: 5, i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -36*t**2 + 840*t + 458. Give w(22).\nAnswer: 1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299970 + 600292 - 300082 - 3*z**2.\nAnswer: -3*z**2 + 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.4, -10, -2\/9, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*l = 16 + 19, 30 = -p + 4*l. Let q(s) = s**3 + 10*s**2 + s + 10. Let i be q(p). Factor i*d + 1\/2*d**2 + 0 + 9\/2*d**5 + 3\/2*d**4 - 5\/2*d**3.\nAnswer: d**2*(d + 1)*(3*d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 766797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2 - 8. Let w be (v\/6)\/(15\/180). Solve p = -w*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 12:05 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 96*u**2 - 2*u + 5. Does 11 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**6*(t\/(t*t*t**0\/t))**(-1))**(5\/4) assuming t is positive.\nAnswer: t**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1710 divided by -30\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/30*3\/2. Solve g*u + 0 = y - 7, -3*y = -u + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -839 - -838. Let u = -7 - -8. Sort u, 0.2, 4\/9, c in descending order.\nAnswer: u, 4\/9, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85740 is divided by 57?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 57. Differentiate u - u + 20*u - j*u + 32 with respect to u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from hjxhxjhxjjh.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*v - 7 - 7 = 0, v = -4*n - 12. Is n\/((-12)\/(-1893))*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -4*c**6\/15 - c**4\/6 - 32*c**2. What is the second derivative of k(h) wrt h?\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628849 is divided by 314381?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**3 + 3195230*i - 3195230*i.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675 is divided by ((-154)\/70 + 2)*-65.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10466 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/6*(-16)\/(-3). Let i(o) = 5*o + o - 3*o - b*o. Let g(c) = 193*c - 96*c - 92*c. What is g(i(u))?\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*q - 18, 2*z + 4 = z + q. Let l = 9 + z. Let b(g) = -g - 3*g - l*g + 9*g. Let m(f) = 10*f**2. Give m(b(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 3. Suppose 0 = 2*u + 4, 2*h + 4*u + 7 = h. Suppose 4*b - h = -9. Let i be z(b). Is 1\/3 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1\/(10\/50)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22287\/5 - 4457. What is the nearest to i in 0.1, 2\/13, 2\/9, 0.17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + k**2 - k. Let t be l(0). Let f = 14 - 9. Let a = 0 + -0.1. What is the nearest to 0 in f, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198604777 smaller than 198604776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g. Let w(t) = -684*t - 3. Give w(k(u)).\nAnswer: -1368*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37266 is divided by 12418?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -52*g**2 + g + 1. Let l be h(-1). Let q = 54 + l. Find the third derivative of -t**2 - 4*t**2 + 4*t**2 - 3*t**q + 20*t**5 wrt t.\nAnswer: 1200*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 969978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**2 - 14488*m + 29101*m - 14610*m.\nAnswer: 22*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-21*3\/18).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/15 + 0 + (-229)\/(-280). Sort x, 0.1, 3.\nAnswer: x, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018080726 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 5*a. Let u be i(4). Suppose f + u = 5*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*d - 110 = 61*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 39*c + 21. Calculate the remainder when r(2) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -646, -2562, -5734, -10144, -15774, -22606, -30622, -39804?\nAnswer: -50134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/28 - 3\/28. Find i such that -2\/7*i**2 - m + 6\/7*i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26819136 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.059 - -0.107. Let c = -0.2 + h. Let x = c - -0.0340005. What is x rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.88804 to two dps.\nAnswer: 55.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 3*i + 1. Let d be y(4). Suppose 6*k + 9*k - d = 0. Solve 0 = k*g - 6*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(14)*-2 + (sqrt(98)*-1)\/sqrt(7)))\/((-1*(sqrt(6) + sqrt(24)\/sqrt(4)))\/(sqrt(48) + sqrt(48)*1 + sqrt(3))).\nAnswer: -135*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 14. Which is the nearest to -3\/7? (a) y (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.97 + 2.47. Which is the closest to 1\/4? (a) u (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 255*-1*2\/(-5). Suppose 483 = 24*q - 333. What is the highest common divisor of w and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369570508 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/38))**(1\/56) assuming w is positive.\nAnswer: w**(37\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 155\/77 - (-26)\/(-91). Which is greater: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 24 = 11*g. Is 19 a factor of (2\/g)\/((-11)\/627)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2784 + 50b?\nAnswer: 2c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 416393 and 43?\nAnswer: 416350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*s + 223*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 15 = 2*l. Let g be l*(4\/12)\/(1\/(-4)). Solve 0 = g*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 8. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 + 4 - 4 + (j**4 + j**4 + 4*j**4)*(-1 + 1 - 5) as f*j + z*j**4 + g*j**3 + s*j**2 + m and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 17*p. Let f(y) = 8*y. Let v(i) = 13*f(i) - 6*k(i). Suppose 14 = -2*n - 5*t - 1, -25 = -n + 4*t. Let c(q) = 9*q - n*q - q. Calculate v(c(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 23 = 5. Let j be (-4)\/(-14) - 580\/u. Calculate the greatest common factor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/144 and 121\/336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121012 - -102001211211?\nAnswer: 102010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56509141483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/45)\/(2\/(-70)))\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120.62 * 4072.\nAnswer: -491164.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 5:28 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.4 + 93.7. Let u = o - 65. Put u, 12, 0.2, -2\/7 in descending order.\nAnswer: 12, u, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 4*y**2 - 3. Let p be o(-5). Let d = 29 + p. Let i = 74926 + -74917. What is the remainder when d is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121973991 to the power of 1\/2, to the nearest integer?\nAnswer: 11044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415351.\nAnswer: 7, 23, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.098409 + 11100.\nAnswer: 11099.901591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -2*n**7\/525 + 16*n**5\/25 - 64*n**4\/15 - 17*n**2. Factor g(p).\nAnswer: -4*p*(p - 4)**2*(p + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = -5*n - 176 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -174542279\/8 less than -21817785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2531953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1543736*u**2 - 955*u - 45 wrt u.\nAnswer: -3087472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*v**2 - 3*v**3 + 28*v**2 - 49*v**2 in the form n*v**2 + p*v**3 + c + x*v and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18\/77 (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than 8770\/427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12143 - 12133. Let m(d) = d**3 - 12*d**2 + 18*d + 15. Give m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (11 - 7) - (3 + 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 9. Let c(g) = 26*g**2 + 2*g. Let o be c(2). Suppose 0 = 12*h + 12 + o. Give u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4452.761 + 4491.8. Let t = -31 + 70. Let w = l - t. Round w to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104)\/(1 + -3)*4. Suppose y + 312 = 4*p. What is p rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824 = 5*l + 249. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 157*c + 1756. What is the units digit of x(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 5*h + 35, -h - 32 = 7*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:48 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t + 25*t + 910 = -210 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) -0.4 (c) -97\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4075 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 85 = 3*z, 245*q = -245*q + 488*q + z - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1797238531 to the nearest integer?\nAnswer: 42394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14519577 - 2?\nAnswer: 14519575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66075 - -2?\nAnswer: 66077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21695002 divided by -1414?\nAnswer: 15343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 136393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191454 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 + q - 2. Let k(v) = 7*v**3 + 12. Let g(t) = -6*h(t) - k(t). Suppose -p - 3*u = -2*p - 4, -5*u + 15 = 0. What is g(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4492194348 and 0.2.\nAnswer: 4492194348.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23265 divided by 7755\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-53 - 25\/(-5)). What is the smallest value in h, 0.2, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(99) + sqrt(11) - sqrt(33)\/sqrt(3)*6)*-5)**2*-2.\nAnswer: -3000 + 800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulsduys. What is prob of picking 1 y and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose -c + 15 = y*c. Let o(r) = r**2 - 6*r**2 + 6 - r**3 + 2*r - c*r. Give o(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69415239 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 + 2 = 0. Let h = 43 + -44. Let w be -4 - 11*1\/h. Solve z + 3*q + 10 = 0, w*z - f*z + 3*q = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 149326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.8 + 12. Sort p, 0, 1\/3.\nAnswer: 0, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 15*g - 2. Sort 0, g, -1 in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**2 - 11*g + 377. Determine n(11).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13\/2 (b) 2 (c) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 1389 + 235. What is the highest common divisor of 1044 and g?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = -3*m - 11, -u = 5*m + 37. Let g be (-8)\/(-24)*6*-2. Sort 1, g, m, 3 in ascending order.\nAnswer: m, g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 29, 13.\nAnswer: -7, 13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**5 - 28*o**4 + 3*o**3 - 161*o. Let w(d) = -d**5 - 3*d**4 - d**3 + d. Let s(l) = -c(l) - 3*w(l). What is the second derivative of s(n) wrt n?\nAnswer: 20*n**3 + 444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**4\/12 - 45*h**3\/2 + 1770*h**2. Let x(s) = s**2. Determine x(l(r)).\nAnswer: 4*r**2 - 540*r + 18225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-372)\/(-15) - 2\/(-10). Let x = 22 - y. What is the units digit of -2 + 10*x\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146874 and 3822?\nAnswer: 1028118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59421 is divided by 1199?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2482492 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/30 - c**4\/24 - c**3\/6 + c**2. Let r be j(2). Suppose -2*y = -9 + 1. Solve m = -r*k + y + 15, -k + 3 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*q + 17, -6*q - 23 = 5*k - 3*q. Let y(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/6 + i**3\/6 - 5*i**2. What is y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9 - (-40)\/(-42). Let x = 173 + -181.3. Let z = 8 + x. What is the nearest to -1\/4 in l, -2, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3))\/(4\/(-318)). Let u be 520\/117 + (-4)\/9. What are the prime factors of u\/6 + f\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 44.9. What is the nearest to -1\/3 in 0.3, 5, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0 + 30*a - 2*a**2 - 1\/6*a**4 - 1\/5*a**5 + 1\/3*a**3. Let r be z(-3). Calculate the greatest common divisor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*g + 4 + 5, 4*u - 4*g - 12 = 0. Let l be -1 + 2 - (-2)\/u. What is the units digit of 8\/1 + -2 + l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 658 + -653. Let f = 0.09 + -0.16. Which is the biggest value? (a) y (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3\/11 (c) 6 (d) 4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 786?\nAnswer: -1\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 223 - 341 = 0. Suppose 99*z - 8300000 = c*z. What is z rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 + 2002*g**3 - 677082*g**2 + 80314822*g - 997116092 = 0 for g.\nAnswer: 14, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -181567+0.5\nAnswer: -181566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 609 - 611. Are z and -17\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3167 - 3167.000001733. Round d to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(12\/9*(-2)\/360). Suppose i = -t + 5*t. What is the greatest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1852 + 5570 = -589*w - 2591 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 279 * 2.7.\nAnswer: 753.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**3\/6 - 8*h**2 - 11*h - 9. Give k(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let w = 63 + -60. Suppose 4*d - 197 = -w*z, 3*d + 57 = -2*z + 3*z. Let v(l) = 34*l - z*l + 32*l. Calculate v(r(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3979 rounded to 1 decimal place?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*m**3*n**3 - 781*m**3*n**2 - 3*m**3 + m*n**2 + 3*m + 460796*n**3 - n**2 - 3*n wrt n?\nAnswer: -246*m**3 + 2764776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 7*f**3\/3 + 5. Let l(g) = 17*g - 56. Let z(b) = -17*b + 70. Let u(v) = 5*l(v) + 4*z(v). Give u(o(k)).\nAnswer: 119*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001110210201 (base 3) in base 10?\nAnswer: -6406309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((-6)\/(-16)*(-1904)\/(-408)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.525 + 10.27968. Let f = z + 0.24. Round f to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - (-27)\/(-6))\/((-2)\/12). Let n(c) = 0*c + 5*c - c - c**3 + 1. What is n(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 2*m**3 + 4*m**3)*(5 + 2 + 7)*(8 - 8 - m)*(-m - 3*m + 2*m).\nAnswer: 56*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -253, -273, -301, -337, -381, -433?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from uxlxuluxxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1897747 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.3, 1487.7, -4, 121?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 120 - 168. Let n be (-1)\/y + 2\/6. Factor 1\/4*r**4 + 0 + n*r**3 - 1\/4*r - 1\/4*r**2.\nAnswer: r*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:56 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**4 + 0*b - 27*b**2 + 0 - 1\/120*b**5 - 1\/45*b**6 + 17\/6*b**3. Let n(a) be the first derivative of x(a). Calculate n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqtsfxftx. What is prob of picking 1 x, 1 q, and 1 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 2*p. Suppose v + 3*v = p. Find the third derivative of 2*s**2 + 2*s**3 - s**3 - v*s**3 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -28764.98 to the nearest 10.\nAnswer: -28760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37d + -5?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a1d1b6 + -21?\nAnswer: a1d195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -229?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 476741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 6. Determine q(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2413, 6535, 12355, 19873, 29089, 40003, 52615?\n\"Answer: 849*b**2 + 1575*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057208316 to six decimal places.\nAnswer: -0.000572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 451336419.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, p: 4, v: 3}. Give prob of sequence vv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 + s**2 - 2*s + 1. Let c be o(1). What is the nearest to -9\/5 in c, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 - 7*d**2\/2 + d\/2 + 7\/2.\nAnswer: -(d - 1)*(d + 1)*(d + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 61 + 40\/3*n**3 + 18*n**6 - 45*n**4 - 32*n + 40*n**2 + 0*n**5. Find v such that k(v) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-13)\/7)*(-51)\/((-4896)\/(-20832))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1074.8325ms to minutes.\nAnswer: 0.017913875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g - 70. Let w be u(-7). Suppose -z = -w*z + 150. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 784 - -402. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2520 - -130050?\nAnswer: 133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(1216) + 3)**2*-4.\nAnswer: -4932 - 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 702744 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - k - 3*k = 0, -3*k = 5*p + 10. Let v be (p\/20)\/((-33)\/4). Let u = v + 25\/264. Which is the third smallest value? (a) 0.4 (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 59*p**2 - 198*p + 1157. Determine u(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 2. Let j(r) = r + 4. Let z be j(-2). Let n be u(z). Let q(v) = -2*v + 4*v**n + 2*v. Let y(f) = f**2. What is q(y(s))?\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 16. Suppose 0 = -d*r + 31 + 37. Calculate the remainder when 66 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*z - 214 = 8*o + 129*z, 178*o - 173*o + 136 = 2*z for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 11*l**2 - 2*l - 4. Let u be r(6). What is the common denominator of 79\/28 and -1 - 1 - (1463\/u + 5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681 times 240?\nAnswer: 1123440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7657*h - 7056 + 7056 + 1909*h.\nAnswer: -5748*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -36*h - 1. Let f be t(-1). Suppose 0*w = -5*w + f. What is the highest common divisor of 63 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2687 + 474 + 566 + 1647 - 7*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00193525 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 518229533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (5 - 2) - 3 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 2*p**2 + 2*p - 1. Let q(k) = k**3 - k**2 + 2*k + 1. Let c(b) = -n(b) + q(b). What is c(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -51*f + 1995. Let b(v) = 11*v - 500. Calculate -9*b(o) - 2*x(o).\nAnswer: 3*o + 510","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9666)\/2148*(-318)\/(-27) - 18?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 266*g**3 + 7*g**2*l**3 + 5*g*l**3 - 2777*l**3 wrt g?\nAnswer: 1596*g + 14*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 - 1.6. Let t = o - -8. Which is the nearest to -2? (a) t (b) -2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.7, 4\/5, 0, 0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(8) - sqrt(2))**2 + -3 + 5 + (-3*sqrt(72) + sqrt(72) - sqrt(72)).\nAnswer: -18*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3 - 13*d**2 - 28*d - 12 = 0. What is d?\nAnswer: -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o. Are o and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 15*w = 16. Let u(v) = 15*v + 25. Let j(d) = -8*d - 13. Let l(q) = w*u(q) + 7*j(q). Find the first derivative of l(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, and 1 g when three letters picked without replacement from {y: 1, f: 1, g: 1, z: 2, c: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -f + 11, -2*f = -4*f + 2. Solve -b*z = -5*v - 10, 0 = -v + 5*z - 3 - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.37 times -0.065?\nAnswer: -26.15405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6748, -7, -3 in ascending order.\nAnswer: -7, -3, -2.6748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 158. Let k = -474 - -497. Calculate the greatest common divisor of k and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 157*m**3 + 271*m**3 - 116*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*g**2 - 417*g**2 + 121*g**2 - 361*g**2.\nAnswer: -567*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -576*x - 1324. Determine f(-3).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3317 (b) 4 (c) -2 (d) -0.12 (e) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - 1) + (-912)\/(-92). Which is the smallest value? (a) 0.1 (b) x (c) -0.4 (d) 1\/7 (e) -0.092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3515, 3507, 3497, 3485?\nAnswer: 3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 3, -2, 8 in descending order.\nAnswer: 8, 3, -2, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414748099 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*a - 5 = 0, -4*n + 5*a + 5 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27763 - -3a84?\nAnswer: -2389b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 6*z. Sort -0.5, z, -5, -0.14 in increasing order.\nAnswer: -5, -0.5, -0.14, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2411835839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -3. Let w = 1.9 + -2.4. Sort -1, t, w in descending order.\nAnswer: w, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 20*u**2 + 19*u + 19. What is d(-21)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 138. Let f be r(-18). Let p be ((-6)\/f)\/(9\/54). Let b(c) = -c**3 - 6*c**2 - 2*c. Determine b(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - 2*m**5 - m**5 + (-3 + 3 + 7*m**2)*(-2*m**3 + 5*m**2 - 5*m**2).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 13*k - 3. Let q be v(-11). Let f be (-18 + q)\/((-1)\/(-12)). Solve 0 = 2*o + 2*o - f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/26855059 and -27\/5038.\nAnswer: 53710118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5*j + d = -9, -j = 3*d + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:15 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6667 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2))\/(-4*180\/(-180)*(-2)\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*k + 11 - 35 = 0, r + 3*k - 18 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-3))\/((8\/3)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*125\/(-350)*(-12)\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -95\/53841?\nAnswer: -95\/53841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 43200005 (base 6) to base 10\nAnswer: 1275269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-28)*2 - (6 - 8). Let h = -19\/7 + j. Let q = 81 - 245\/3. What is the nearest to -1 in h, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3428?\nAnswer: 6856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13d64 + -a?\nAnswer: -13d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/12 - 481*x**2\/2 - x. Let b(w) = -w**2 - 1289 + 413 + 424 + 452. What is b(a(d))?\nAnswer: -d**4 - 962*d**2 - 231361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 50172*g + 7431226.\nAnswer: 2*(g + 149)*(g + 24937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 9*b + z = -12, 5*z = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 51. Does 21 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*s + 26. Let o = s - 10. Are -11\/4 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, 311, 266, 3, -5 in descending order.\nAnswer: 311, 266, 3, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = m - 265, 5*a - 2*a + 1024 = 4*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 691927*d*y**3 + 1827*d*y - 3*d + 26*y wrt y?\nAnswer: 4151562*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Sort -2\/5, s, -3 in descending order.\nAnswer: s, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/6 + 2\/60. What is the closest to -2 in j, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.295 * -680.92\nAnswer: -2243.6314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/60 + 6\/(-8))\/((-7)\/231).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcccmccmiykiikihcckm. What is prob of picking 2 k and 1 c?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 11*x**2 + x - 6. Let l be k(11). Suppose 0*s = -l*z - s + 1, -3*z + 2*s = -11. Does z = -2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 7 + 4*a**3 - 2*a**3 + a**3 + 286*a - 254*a.\nAnswer: 3*a**3 + 32*a - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4244718712.\nAnswer: 2, 13, 17, 19, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3088 divided by -1\nAnswer: 3088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 25*y - 20. Determine b(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 898*d**3 - 4*d**2 - 44*d - 7. What is the thousands digit of o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c = 1363 - 1299 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51 + 282 - 5*c**3 - 45*c**5 - 288*c - 291*c + 580*c wrt c.\nAnswer: -900*c**3 - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140313422 (base 6) to base 9\nAnswer: 5274785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 26, -131, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 76 - 36 - 21*d**2 - d + 3*d - 40. Let j(p) = -12*p**2 - 7*p. Let u(c) = 37*c**2 + 25*c. Let l(g) = 7*j(g) + 2*u(g). Determine 13*l(r) - 6*y(r).\nAnswer: -4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1 + (-6)\/(-2). Let z be (1 - 0)\/w*202. Suppose -2*x = -5*f + x + z, 2*f + 2*x = 50. What is the greatest common divisor of 33 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (303*t - 126*t - 119*t)*(14 + 99 + 71) to f + u*t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -13264622?\nAnswer: 13264622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -241, -193, -115, -1, 155, 359, 617?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 10*q**2 + 9*q + 6. Let n be b(-9). Let r(z) = z**2 - 3*z - 6. Does 12 divide r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7623) + -1*sqrt(7623) - -1*sqrt(1008))\/(sqrt(441) + (sqrt(441) - (sqrt(441) + (sqrt(441) - 2*sqrt(441)*2))) + sqrt(441) + sqrt(441)) + 0 + -1.\nAnswer: -1 + 2*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21396.\nAnswer: 2, 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*4\/(-12) + 37. Find the common denominator of (-9)\/s - 15\/(-72) and 13\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/308 - (-6501)\/(-91014).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 11*p = 2*u - 40, -5*u = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -70*p + 52*p. Let r(y) = 10 + 7*y - 15 - 3*y. Let o be r(2). Sort p, 12, 0, o in ascending order.\nAnswer: p, 0, o, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72191 - 32468 = -48*q - 13843. What is the greatest common factor of q and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -125*w**7\/42 + 227*w**3\/6 - 229*w. What is the second derivative of y(q) wrt q?\nAnswer: -2500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4007 - 31967\/8. What is the common denominator of p and -61\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let d = 5522 + -5517. What is the nearest to c in -1, d, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/36 + (-231)\/(-4) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 2, v: 1, h: 1}. Give prob of sequence vm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 554, 2\/17, 10, -0.2, -2\/7, 2?\nAnswer: 554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-135)*(-195)\/39\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4 - 30*d - 9*d + 56*d - 27*d. Let m(a) = -9*a - 3. What is -4*m(k) + 3*t(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141849*f**5 - 293444*f.\nAnswer: 2836980*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 2.02. Let x = k + 1.5. Let p be 3 - (-1)\/(-6)*19. What is the smallest value in x, p, -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**3 - 12*o**2. Let m(z) = -z**3 + z**2. Let h(r) = j(r) + 4*m(r). Find the third derivative of h(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291601056 divided by 16\nAnswer: 18225066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4\/5 (b) 1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 6. Let s be k(9). Sort 22, s, -2 in ascending order.\nAnswer: s, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15339077 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3931855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -19*t + 77. Solve 0 = -2*o + b - 2 - 6, -o - 5*b = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.63 and -0.022.\nAnswer: -0.76186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6 - 33*k**2 + 7*k**2 + 2*k**2 + 1 to the form q*k**2 + r + z*k and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (-1*((2*sqrt(396) - sqrt(396))**2 + 4) + -3)*6 + -5).\nAnswer: -7266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-7 - -19 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2325 - 2323. Let s(x) be the second derivative of 0*x**5 - 6*x - 7\/30*x**6 + 0 - 5\/2*x**a + 0*x**4 + 0*x**3. What is the derivative of s(f) wrt f?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/12 - l**3\/3 - 25*l**2. Let h be s(-2). Find the first derivative of 19*d**h - 2*d - 6 - 17 + 2*d wrt d.\nAnswer: 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*s + 306, 3*f - 133 = 4*s + 176. Let b = s - -75. Let o be -1 + b - 1\/((-6)\/150). Solve -5*c - o = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - d - 3 - d**2)*(7*d**2 + 0*d**2 - 43*d**2) as c*d**2 + z*d**4 + o*d**3 + n + m*d and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/(f*f\/f**22*f))))\/f**(-1\/29))\/(f**(6\/17)\/f)**28 assuming f is positive.\nAnswer: f**(18316\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 2499957?\nAnswer: -2499955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 10.26 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55.16 * -5.88.\nAnswer: 324.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*x + 110 = w, -118 = -5*w - x. Solve 5*i - w = 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4815 and 30?\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/12 + 1)*-3 + (-90)\/21. Which is the closest to g? (a) 0.1 (b) 68 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 373164 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 3*l**2 - 5*l**2)*(-34*l**2 - l + 11 + 26*l**2 + 10*l**2).\nAnswer: -6*l**4 + 3*l**3 - 33*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001101010100110111 + 1111?\nAnswer: 11111001101010101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45254 and 32912?\nAnswer: 362032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2098465934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -807?\nAnswer: -20175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -190*o + 562. Give s(2).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (71 + -81)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48142268 and 7196?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l, -o + 2*l + 5 = 7*l. What is the highest common factor of 110 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 + -37. Let q = m + 76. Suppose q = 5*b - v + 4*v, 5*v - 88 = -2*b. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*g**2 + 945*g**2 - 208*g**2 - 127*g**2 - 205*g**2 - 203*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -765*p**3 - 4833*p + 2 wrt p.\nAnswer: -4590*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0.1. Let n = -0.5 - j. Let k = -3.01 - -0.01. Which is the closest to 0.1? (a) k (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(700)*-2 + sqrt(700) + 6*-1*sqrt(700) - ((1*sqrt(700) + -3)**2 + (sqrt(700) - (2 + sqrt(700) + -1))**2).\nAnswer: -705 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1821 + 1820. Let z = 1 + 0. Which is the nearest to s? (a) -2 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 1352\/11 - 1456\/11*v - 2\/11*v**3 + 106\/11*v**2 = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 19, -0.3, 2.39, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-28)\/63 + 18\/12 + (-51)\/(-51)?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - c = -92 + 20, 12372*z + 24 = 12374*z - 2*c for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 6. Calculate x(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 869, 1768, 2683, 3608, 4537, 5464, 6383?\nAnswer: 7288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/204)\/(27\/1224).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4598 = 49*r - 38*r. What are the prime factors of r?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7304 - 127 + 987 + 2698 + 2510)*(-3*z**2 - 2*z**2 + 2*z**2).\nAnswer: -40116*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -34. Let f(q) = -q**2 + 2*q + 0*q**2 - 2 + 26*q**2 + i. List the prime factors of f(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 11:46 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1\/5*f**5 + 0*f**4 - 2*f - 1\/3*f**3 + 0*f**2 + 3 + 0*f**6 - 1\/21*f**7. Let m(s) be the first derivative of z(s). Factor m(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7975870, -7975869, -7975868, -7975867?\nAnswer: -7975866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 21 + 34 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11943424?\nAnswer: 2, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, v: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-114 + 20)\/(1 - 138\/134)?\nAnswer: 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7891458 hours in nanoseconds?\nAnswer: 2840924880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5494576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = j. Suppose 9*s - 15 = j*s. Suppose 4408*i + 9 = 4394*i - 5. Sort i, 5, s in descending order.\nAnswer: 5, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 173*b + 3. Let i(h) = -605*h - 10. Let o(p) = -2*i(p) - 7*j(p). Suppose 4*f = 5*f - 6. Let z = -8 + f. Let g(k) = -4*k - 4. What is z*o(v) + g(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 417\/8018266 or -1?\nAnswer: 417\/8018266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148313902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**3 + 3*p**2 + 16967*p + 16968*p - 33935*p.\nAnswer: 20*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 12*r**2 + 12*r - 10. Let o be x(-13). Are o and 3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -270.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.1. Let o = -6.9 - -10. Let f = o - 3. Which is the closest to v? (a) 5 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, r: 1, w: 2, d: 3, g: 1}. What is prob of sequence dddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - s**3 - 4*s**3)*(-2 + 2 - 1)*(9*s**2 + 11*s**2 - s**2) + 4*s**3 - 2*s**5 - 4*s**3 + (0*s + 2*s**2 + 0*s)*(-3*s**3 + 2*s**3 - 2*s**3).\nAnswer: 11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82947, 83078, 83295, 83598, 83987?\nAnswer: 84462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1122, -2242, -3362?\n\"Answer: -1120*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18147390.\nAnswer: 2, 3, 5, 37, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 o, and 1 h when three letters picked without replacement from {d: 1, h: 1, t: 1, j: 3, o: 3, u: 9}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let x = -18 - -16. Let j be (-2)\/5 - 29\/(-35). Which is the third biggest value? (a) w (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p. Let t be i(1). Suppose t*n = 9*n - 440. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493885056 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 28*i**2 - 5*i + 157. Let m(k) = -23*k**2 + 4*k - 158. Calculate 5*d(w) + 6*m(w).\nAnswer: 2*w**2 - w - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/20 and 85\/614.\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -3*l + 3*i, 0 = -3*i. Does 7 divide l\/(-10) - 68\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 = l, -4*a - 6*l + 3*l = 72. Suppose f = c + 5, -4*c = f - 0*f + 10. Let j be ((-18)\/a)\/(f\/15). Solve -t = 2*t + j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289\/792 + 133783\/369072. Calculate the common denominator of a and 29\/22.\nAnswer: 41008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 2 w when four letters picked without replacement from srwqwpql?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*s, 3*s = w - 24 + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -3)\/((-12)\/(-1084)). Let c = 331 - q. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 - 219*b**3\/4 + 12525*b**2\/4 - 58529*b\/4 + 34347\/2.\nAnswer: (b - 107)**2*(b - 3)*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(56\/(-12)))\/((-6)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 558130*3\nAnswer: 1674390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:10 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let s be (6\/(-14))\/3*4. Let h = 3 - 3. Which is the closest to p? (a) 2 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 82155237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, r: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111632672 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4\/4 + 6663*n**3\/4 - 4859721*n**2\/4 + 1108261965*n\/4 + 10165554024 = 0. Calculate n.\nAnswer: -32, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -52039615 and -52039622 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59441790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*v - 43*v - 130 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -126. Sort 22, n, -2.\nAnswer: -2, n, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 18 = 5*n. Let u(x) = 3*x + 10. Let o be u(n). Which is the third biggest value? (a) o (b) -0.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -969\/182 + 131\/26. Which is the nearest to -0.1? (a) m (b) 9\/7 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*g + 2650*g + 20675*g as m + p*g and give p.\nAnswer: 23341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + w - 46. Calculate h(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = 2*o, 5*r + 2 = 3*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/5)*r*r**(-2)*r)**(-44))**(-26\/7) assuming r is positive.\nAnswer: r**(1144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.98 - -1.58. What is the closest to -2 in t, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4034678 (base 9) to base 2.\nAnswer: 1000001100101000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202000201101 (base 3) in base 10?\nAnswer: 394183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/(4\/(-54)). Does 32 divide (-212)\/(-2) + 5 + p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100707*x**5 - 1924441*x**2 wrt x?\nAnswer: -6042420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (-570)\/80 - 4041774\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(43\/((-172)\/(-24)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + -5335?\nAnswer: -5349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347557 is divided by 173563?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 19 = 6. Let l = -28 + 17. Let n = l + v. Are 2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 - -2. Let r = 243.6 + -244. Which is the third smallest value? (a) r (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21714183 to the power of 1\/2, to the nearest integer?\nAnswer: 4660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 16. Suppose -16*w + 9*w - 1029 = 0. Let g be (-5 + a)*w\/1. What is g rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, b: 4}. What is prob of sequence mm?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -l + 54, -3 = -4*i - 19. What is the remainder when l is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -629.1481 and -2.\nAnswer: 1258.2962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85134.9360056 - 85135. Let s = -129.064 + 129. Let i = k - s. Round i to seven decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10816 + 10813. Which is the nearest to 1? (a) u (b) 0 (c) 6.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:19 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -135. Solve 0 = 13*q - t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 3. Let r be b(0). What is the second derivative of 5*v**r - 5*v**3 - 3*v**4 - v wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.54 + 14.16. What is the closest to -1\/3 in u, -2\/13, 1\/10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 64*t + 33. Let m be r(5). Let b = m + -189. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(308)\/(sqrt(11) - (sqrt(11) - (4*sqrt(11)*-2 + sqrt(11) + sqrt(11)))))\/(1*sqrt(1600)))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q + 36*q - 75 = y - 6*y, 0 = 3*y - 36 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1. Let q(h) = 4*h + 2. Let k(x) = 16*x + 7. Let o(d) = -6*k(d) + 26*q(d). Let i(t) = o(t) - 5*s(t). Differentiate i(a) with respect to a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3713104242.\nAnswer: 2, 3, 206283569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:22 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1193616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*q = 2*o + 79, 23 = o + 438*q - 435*q for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1063 + 0.135.\nAnswer: 1063.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 179816165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8*u + 3*q + 433, 4*q = 2*u - 176. Let k = 58 - u. Let o = k + 43. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 11. Suppose -16*i + j*i = 3. Let k = 11 + -9. Solve 20 = i*t + k*a - 3*a, 4*t - 5*a = 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2\/2 - 12*u - 2. Let l be a(-12). Suppose l = 2*z - 41 - 1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*sqrt(891))**2*3.\nAnswer: -1080*sqrt(11) + 42843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:30 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13))**(14\/9)\/(y**(-1\/30)*y*y**(-3)) assuming y is positive.\nAnswer: y**(-1637\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32\/25 (b) 4.2 (c) 3 (d) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 12:45 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpb when three letters picked without replacement from ppppkppvppwwkphphbw?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b**2 + 5 - 2 - 57*b**2.\nAnswer: -18*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9777992, 19555982, 29333970, 39111956?\n\"Answer: -r**2 + 9777993*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3978)\/(-546))\/((-18)\/(-8))*(-81)\/(-54).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506642*n**2 + 506651*n**2 - 1013274*n**2.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18513556*p**6 - 61085324*p**2 wrt p.\nAnswer: -2221626720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f + 140. Let z(g) = 12*g + 105. Let k(o) = 3*a(o) - 4*z(o). Let q(i) = -i + 977. Calculate q(k(h)).\nAnswer: 3*h + 977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -18 (b) -16 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291212889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.016 to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 171147513.\nAnswer: -17114751.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -264.1 - -268.8. Sort -0.5, 0.3, b, -3 in increasing order.\nAnswer: -3, -0.5, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 + 6*f - 1. Let h be p(5). Suppose -i - 36 = -h*i. Solve -g - v + i = 4*g, 3*g - 16 = -5*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 38 - (-1 + (34 - -1) + -3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 10. Let h be q(-3). Suppose -5 - h = -4*z - 2*s, 2*z = 5*s + 15. Suppose v + 196 = z*v. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in 4.867, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*a - 32 = 0, -2*a - 14 = -3*c - c. Let t(v) = -4*v + 5. Let g be t(c). Let o = g + 41. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/7)*h*h**(5\/6)*h)**35 assuming h is positive.\nAnswer: h**(835\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(180)*5)**2 + 1)*3.\nAnswer: 54009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + 2*sqrt(68)*4 + 5 + -1 + sqrt(68)) + 0)**2.\nAnswer: 144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**6\/15 - 3*g**5\/20 + 3*g**4\/4 + 3*g**2\/2 + 2*g - 49. Find the third derivative of m(l) wrt l.\nAnswer: 48*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40\/57 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12676948178 + 12676948178 - 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 4*v = -0*j - 3*j + 65, 18*j - 22*j + 3*v = -120 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuqzuqqquuzkzq. Give prob of sequence zk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183*y + 2132*y = -1632 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*h + 2*b**3 + 9608*b**2*h - b**2 + 1336*b*h - 76*b wrt b?\nAnswer: -18*b*h + 12*b + 19216*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 2*o + o + o**2)*(0*o**2 + 0*o**2 + 2*o**2)*(281 + 264*o - 281) + o**4 - o**4 + 2*o**5.\nAnswer: 530*o**5 - 1056*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(1 + (-3 + sqrt(44))*3 + -2))**2.\nAnswer: -4320*sqrt(11) + 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122201000000 (base 3) in base 15?\nAnswer: 125aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/17 in 5, 3, 0.2, -5, -3\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -512\/237301 or -1?\nAnswer: -512\/237301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/7 (b) 6381 (c) 5 (d) 2 (e) -1\/9 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2 = -d + 3*l, -3*d - 8 = -2*l. Let w = d - -5. Let b(q) = -2*q**2 + 2*q - 1. Give b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 10517*m = 21037*m - 10525*m - 60, -3*a - 3*m = 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 11*z**2 + 22*z**4 + 0*z - 23*z**4 + 0*z - 4*z**3 in the form l*z**4 + k*z + d + f*z**2 + j*z**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2980*k**2 - 1249*k**2 + 4*k - 323*k**2 to the form d + s*k**2 + f*k and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.2 - -6.9. Which is the nearest to 3? (a) 3 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 + 169.286. Let z = 3.106 - y. Let u = z + -0.22. What is u rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 248 + 532. Find the common denominator of (g\/(-9))\/(110\/(-15)) and (-7 - -44)\/(20\/3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/513)\/((-92)\/18).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 13*i = -30. Find the second derivative of 32*h**3 + 56*h**3 + 36*h**i - 6*h**3 - 106*h wrt h.\nAnswer: 708*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9058.01 - -8884. Let x = 76 - -97. Let f = k + x. What is f rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 122877, -3, -2, 5 in decreasing order.\nAnswer: 122877, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*f**2*p**2 + 16014*f*p**3 - 5*p**3 + 107280 wrt f.\nAnswer: -88*f*p**2 + 16014*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 815210, -2, 3\/7, 5\/2?\nAnswer: 815210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 24582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3 = -5*t - 14, 5 = -2*t + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 + 96*o + 324 = 0. What is o?\nAnswer: -3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4878 - 4988.31. Round q to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310*i*k**2 - 2170*i + k**2 + 842178*k wrt i.\nAnswer: -310*k**2 - 2170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35\/(-140))\/(4\/24))\/(8\/((-224)\/(-273))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*h**3 + 76*h**2 - 56*h**3 + h**2 + 123*h**3)*(0*h**2 - h**2 + 0*h**2).\nAnswer: -11*h**5 - 77*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (-91)\/(-4))*(-24)\/9?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50, -194, -434, -770, -1202, -1730?\n\"Answer: -48*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -587?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51928, 103883, 155842, 207805, 259772, 311743, 363718?\nAnswer: 415697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33881?\nAnswer: 17, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*b - 4, 0 = 730*u - 731*u - b - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 658775677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 671*a*x**3 - 1652*x**3 wrt a.\nAnswer: 671*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from llrwrrr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*c + 5*a = 230*c - 23, 4*a = c - 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkblvublvvvvkvlkv. Give prob of picking 3 l and 1 k.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**(-9)*(r*(r\/r**1)\/r*r)**(1\/38))**45 assuming r is positive.\nAnswer: r**(-13635\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 - 3) + -3)*-5. Suppose 4*g - 532 = q - 4*q, g = 5*q - 902. Calculate the highest common factor of q and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g**2 - 2*g - 2. Let p be 5*(8\/5)\/4. Let u be q(p). Suppose -w + u = -8. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h)*(55 + 49 - 33)*(5*h - 3*h + 3*h)*(2 + 2 - 6).\nAnswer: 1420*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1790280861.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17295 is divided by 17233.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 7 + (-2)\/(-1 - 1). Solve -4*f = -7*f + b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -8 - -32) + 13 - (-4 + 11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68053 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1*(-24)\/(-42)*(-35)\/(-50)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + (-21)\/6)\/((-2)\/8). Let v = 0.02 + -0.42. Let k = v + 0.4. What is the biggest value in i, -1.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150.8 - -196. What is l rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -315.2676?\nAnswer: -315.2676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 455 + 105 = 0. Let p = 12 + 2. What is the highest common factor of p and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327953361.19999939 + 327953364. Let o = 2.8 - l. Round o to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 416 = -633. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33 + -32)\/((-1)\/6). Let m(r) = r**2 + 5*r + 15. Let w be m(t). Solve -3 = i - 3*z, -2*z - z + w = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4779, 68, 5 in increasing order.\nAnswer: -3, 5, 68, 4779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442 (base 10) in base 6?\nAnswer: -10402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1260245369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -127100 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1 + -194 - 2. Let x = q + 124. Let y = -38 - x. Calculate the greatest common factor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1 + 1 + 13*q + 10*q - 5*q. Is t(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011707519 to 5 dps.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1659691*z + 820707.\nAnswer: -1659691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 385 = -10*v + 337 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f - 1. Let t(k) = k**3 + 14*k**2 - 17*k + 11. Let g(u) = 2*n(u) - t(u). Does 8 divide g(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 4*j + 1 - 18*j**3 - 3*j + 2*j. Is 13 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -6, 2\/9, 21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8.3, -4\/3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17670000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169 + 219. Does 50 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d - 10. Suppose -2*b = -d*b + 9. Suppose 4*p - v = 95, b*p - 7*v = -3*v + 81. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**3 + 3*y**2 + y - 5. Let a(z) = z**3 - z**2 + 1. Calculate 3*a(q) + b(q).\nAnswer: -2*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446950, -446982, -447036, -447124, -447258?\nAnswer: -447450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 0.56 (c) 1\/11 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11311 (base 9) in base 11?\nAnswer: -5738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*c + 20, -163*c - 168*c = -335*c + 16*p for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 3. Let s be t(4). Let k = -1.6 - -0.3. Let x = -1 - k. Which is the closest to s? (a) x (b) -0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 1 t when three letters picked without replacement from vtvvvtg?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 181, 282, 397, 532?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384640, 769208, 1153698, 1538110, 1922444, 2306700, 2690878?\nAnswer: 3074978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*((y**(-2)*y)\/y)\/y)\/y*y)\/y*(y*(y**5\/y)\/y)\/y)\/(y*y**(-2\/7)\/y*y*y*y)**(-3))**12)**1 assuming y is positive.\nAnswer: y**(684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 5, 305255 in descending order.\nAnswer: 305255, 5, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7672 is divided by 172.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:06 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t - 7. Suppose -14*r - 10*r + 1176 = 0. What is the remainder when r is divided by o(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**4\/24 + t**3 - 12*t**2. Calculate b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -7646332?\nAnswer: -7646346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2412)\/15)\/(1*8\/(-20)). Let k = -392 + v. Let n = -6 - -28. What is the smallest common multiple of n and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:31 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 11:34 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -89*n + 1325. Determine b(8).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*g**2*u**4*y + 4*g**2*y - 3812*g*y - 531*u*y + y with respect to u.\nAnswer: -40*g**2*u**3*y - 531*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1367\/5093 - 2\/463. Suppose -3*t = -11*t + 8. Is q bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2718030 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**3 - 3. Let o(f) = -f**3 + f**2. Give 3*o(d) + s(d).\nAnswer: 2*d**3 + 3*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (10 + 8 + -33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 5733.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, -8, -67, -36 in increasing order.\nAnswer: -67, -36, -8, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*s + 9*s - 15*s + (2*s - 2*s - s)*(3 + 1 - 3))*(-s - s**2 + 3*s**2 - 4*s**2) in the form g*s + p*s**2 + m + d*s**3 and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 108 = 128 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6*i + 6. Suppose -q = -i*q + 51. Calculate the remainder when q is divided by 28130\/1450 - 4\/10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6336 + -6333. Which is the biggest value? (a) q (b) -9.9 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 77. Let v(g) = 100*g**2 - 9*g + 6. Is v(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 3*w. Suppose -f + z + 0*z = -54, 4*f = -w*z + 232. Suppose 0 = 5*s - 20, 0 = 4*i + s - 112 - f. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 2611 + 2611 - 14*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 18. Suppose 0*k + 4 = 2*k. Let g be k - (0 + (t - 3)). Solve 0 = 5*r + 2*w + 5, 2*w + 2 = -g*r - 0*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2104)\/20*(-460)\/(-2668) + 18?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(462) + sqrt(462))\/sqrt(11))\/sqrt(6) - (-4 + (sqrt(56)*-1)\/sqrt(8))**2 - ((sqrt(28)\/(sqrt(28)\/sqrt(28)))**2 + -1)*6.\nAnswer: -185 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -175744 divided by -43936?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/215 and -1\/32207.\nAnswer: 161035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 1\/12*z**4 + 1\/2*z**3 + 0 + 2*z + 1\/2*z**2. What is the units digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -334.6875393 to zero decimal places.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 15. Let t be f(-12). What is the highest common divisor of 24 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 110*y**2 - 678*y - 26804. What is t(-106)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 91 - 81. Let x(b) = b. Let y(w) = w**3 - 10*w**2 - 18*w + 13. Let r(p) = 6*x(p) + y(p). Let k be r(11). Is t > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16d + 69?\nAnswer: 1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1628, 665, 6908, 19081, 39164?\n\"Answer: 330*x**3 - 5*x**2 - 2*x - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**2 + 15*w**2 + w**2 + 210 - 210.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -21. What is the third derivative of 12*z**5 + 0*z**3 + 9*z**2 + 0*z**3 - c*z**2 wrt z?\nAnswer: 720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f - 0. Let m = -1 + f. Suppose 5*x + m*x = -5. Let u(o) = -5*o - 1. Calculate u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7*x - 37 = 0, 0 = 11*x - 6*x + 30. Put -1, -3, -6, k, 4 in descending order.\nAnswer: 4, k, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -28*z - 136. Let j(g) = 4*g + 34. Let r(k) = -f(k) - 4*j(k). Let c(n) = n. Let p(y) = 2*y. Let u(a) = -8*c(a) + 3*p(a). What is r(u(m))?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4102?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - (-284 - -234) - ((-1 - 63) + 0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7659?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 - 73 = -2*h + 67, 32*d + h = -386 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -5 (c) 0.1 (d) -0.51 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -360378, -360710, -361040, -361368?\n\"Answer: z**2 - 335*z - 360044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 5*d)*((5 - 2 - 1)*(-2 + 4 - 1) + 1 + 3 - 3).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-424)\/20)\/((-2)\/10). What is the second derivative of 7*b**5 - 6*b - 106*b**4 + r*b**4 wrt b?\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 8*b**2 - 7*b + 8. Let x be o(8). Let f be (x\/20)\/((-4)\/20). What is the highest common factor of 60 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r - 20*r + 64836. Is r\/30 + (-2)\/(-5)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let h be ((-3)\/f)\/((-15)\/(-40)). Suppose 14 = 2*s - h. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-28 - -30) + 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 9, k: 4, u: 1}. Give prob of sequence kut.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 18*j - 14. What are the prime factors of f(30)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1913 and 79\/462946?\nAnswer: 462946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*6*(-113)\/7910?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 0*j - 6*j)*(16 - 3 + 0 - j) as o*j + l*j**2 + h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*1 + (sqrt(228) + -2*sqrt(228))*6 - (-2*sqrt(228)*1 + sqrt(228))*4)\/(4*5*sqrt(1200)*-2*1).\nAnswer: 3*sqrt(19)\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 38. List the prime factors of 43*(43 + 1 + y).\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 99, -2, 7, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12) - (-6 + (-728)\/48). Suppose 23*n - p*n = -6. Suppose 8 = -5*v + v. Put 0.7, v, n, 3 in decreasing order.\nAnswer: 3, 0.7, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2914\/13 - 62925\/286. Calculate the common denominator of (-12)\/40*(-3325)\/105 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.23.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:47 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-8)\/(-3) - 237\/(-9). Let j = r - 36. Is j at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Let k(f) = -f**3 - 2*f**2 - f - 8. Let c(x) = 2*x**3 + 8. Let v(r) = c(r) + k(r). Determine v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73132.86um in kilometers?\nAnswer: 0.00007313286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.13 and 73647.\nAnswer: 73646.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*d - 3*m - 10, -3*d = 4*m - 9. Let z = -29 + 32. Let w(g) = g**3 - 6*g**2 + 2. Let s be w(6). Solve -k = -5*p + d, s*p + 8 + 1 = -z*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-5 + -3 + sqrt(68) + 0 + 5)**2*-5*-3.\nAnswer: -480*sqrt(17) + 16380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13043 is divided by 435.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/11331 and -89\/15.\nAnswer: 56655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1964036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18339115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*a = -2, 5 = 4*g - 4*a - 3. Suppose -786 = -5*k + r, -k - g*r = -r - 154. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -21*x - 26*x - 4*x + x**3 - 26*x**2 - 4*x + 18 + 42. Let s be n(28). What is the greatest common factor of 308 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*m**5 + m**4 - 17*m**2.\nAnswer: 1380*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8005 + -8000. Solve u + 1 = 0, 4*p - 1 = -z*u - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -3, 122, 391, 852, 1553?\nAnswer: 2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**7\/420 + 7*r**6\/240 + r**5\/24 - 7*r**4\/48 - r**3\/2 + 2*r**2 - 111. Factor l(c).\nAnswer: (c - 1)*(c + 1)**2*(c + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8861 - 4277314\nAnswer: -4286175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98798 is divided by 276.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 + 10*y - 2. Suppose -35 = -3*u - 4*t - 11, u = 5*t - 11. Determine g(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 25*f**8\/14 + f**6\/15 - 797*f**4\/12 + f - 220. Find the third derivative of j(l) wrt l.\nAnswer: 12000*l**3 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3346829 and 10095?\nAnswer: 50202435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6330 and -14.8576?\nAnswer: 6315.1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/23 + 59\/138. What is the third biggest value in k, -2\/21, -0.02, -4\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 216 (b) -215 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111000 (base 2) to base 10.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -359, -714, -1283, -2066, -3063, -4274, -5699?\n\"Answer: -107*l**2 - 34*l - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18530000 rounded to the nearest one hundred thousand?\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6333 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1279399 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1701616263 and 80.\nAnswer: -1701616183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2020 and 12959260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000061346026 to 7 dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13077 + 13120 - 26148 + 4*u. Calculate y(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1462 and 362?\nAnswer: 264622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 k when four letters picked without replacement from {l: 2, d: 3, k: 7}.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 6 (b) -2\/3 (c) -2\/9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9))**(-35) assuming g is positive.\nAnswer: g**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {b: 11, i: 5, x: 2, u: 1}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 + 94?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -2*a - 9*t, 8 = -t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Suppose c = w - 0*w. Is 159\/w*1 - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*q - 9, -2*f - 3*q + 21 = 3*f. Let h be ((-8)\/(-12))\/(f\/(-9)). Put -2, h, -5 in decreasing order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7*f - 44 = 0, -806*m + 809*m - 2*f + 11 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynnnnnymnnmnnfnnnyy. What is prob of sequence ny?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 794, 6846, 23434, 55850, 109386?\nAnswer: 189334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - z + 0*z + 0 - 2*z + 0 + (3 - 4 + 2)*(0*z + 3*z - 2*z) + 2*z + 6*z - 3*z + (-z + 3*z - 3*z)*(-819 + 140 - 99)*(-1 + 0 + 0).\nAnswer: -776*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + c**2 - c + 432887. Let i be j(0). Let h = i - 1282887. Round h to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.02. Let x = t + -0.076. Round x to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 12*f + 8. Let x = 28 + -16. Let d be q(x). Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63*-2*3\/(-7) - 11) + -2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -0.05. Let g = 0.13 + l. Let r = -9957 - -49782\/5. Which is the closest to -2? (a) g (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2423*c + 9736. Calculate x(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -3\/5 (b) -0.4 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/((-1300)\/26)*(2\/8 + 495\/(-12)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**16)**15\/(u*u**(1\/8))**47)**(-50) assuming u is positive.\nAnswer: u**(-37425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 24. Let l be c(-8). Let z be l\/8*(-2 + 0). Suppose 1677562 - 577562 = z*s. Round s to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {t: 2, e: 3, i: 1, z: 1, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 275232\/122 - (-21)\/(-3)*-1. What is the highest common factor of 73 and o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 672 - 66?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 4*o = -70. Let v(r) = -r. Let x be v(-3). Let u(m) = -2 - x*m + 8 - 4. Give u(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:42 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 2.8 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 4*n**3 + n**3)*(-3 - 119*n**2 - 88*n**2 + 225*n**2) + (n**2 - 4*n**2 + 2*n**2)*(-2*n**2 + 2*n**2 - 3*n**3).\nAnswer: -33*n**5 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -122. Suppose 0 = j - g - 206. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -264*k + 271*k - 175. Solve -5*r - k = 0, -2*o - o + 4*r = -20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20557?\nAnswer: 61, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -4 + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7435 - 7437. Let i(j) = -13*j - 3. Let r(w) = 53*w + 12. Give c*r(t) - 9*i(t).\nAnswer: 11*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*i - 0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/35 - (-36)\/10. Sort 2, -5, -11, o in increasing order.\nAnswer: -11, -5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76363, 78096, 79829, 81562, 83295?\n\"Answer: 1733*y + 74630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 59 = -2*x - 12*j, 0 = x - 3*j - 56 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1255608 divided by 139512.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -103 and 10.73.\nAnswer: -92.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*i + 5*o - 6, 0 = -3*i + 7*o - 51*o + 188 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 11 - 27 - 11*g**2 + 64*g**2.\nAnswer: 53*g**2 + 2*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455394 is divided by 418.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/y**(-3\/5))\/(((y**2\/y)\/y)\/y**(-7))*(y**2\/(y**9\/y))**(4\/5) assuming y is positive.\nAnswer: y**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123567 is divided by 542.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-306)*5*(-534)\/(-2225)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 15*i**2 + 466*i - 480.\nAnswer: -(i - 30)*(i - 1)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*f + 2 - 8 = 0, -24 = -4*d - f. Let j(l) = l**3. Let u = -21 + 38. Let n(w) = -3*w**3. Give d*n(t) + u*j(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*q**3 - 14*q**3 + 19*q**3 + (-4*q**2 - 7 + 7)*(2*q + 0 + 0) + (854 + q**2 - 14*q**3 - 854)*(2 - 1 - 2)*(1 - 5 + 3).\nAnswer: 5*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 3:48 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -11.36. Let j = -3.36 + z. Which is the closest to j? (a) 0.3 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97274 * 4.\nAnswer: 389096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -269\/6 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -7773.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1082*s**2 + 4 + 193*s**2.\nAnswer: -889*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*a - 7 = 0, -t + 0*a = -a - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from {p: 2, l: 1, n: 2, b: 5, z: 6, f: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - (-2)\/(-8). Let q = -13.3 - -14.3. Which is the third smallest value? (a) t (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2568249, -2568250, -2568251, -2568252, -2568253, -2568254?\n\"Answer: -m - 2568248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -31. Solve b = 4*l + 5*p + 51, -2*l = 3*p + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -8)\/((-15)\/10). Let w be 7\/b + 2\/(-8). What is the tens digit of (-51)\/6*w + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30744993 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 + 3*i**2 + 3*i. Let z(d) = 8*d**3 - 9*d**2 - 8*d + 1. Let u(j) = 11*v(j) + 4*z(j). Let s be u(-3). Differentiate -4 - s - 2*o**2 + 3 wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1257304*k**4 + 12*k**3 - 6*k + 2708789.\nAnswer: -15087648*k**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -4*n**5\/5 + 2*n**4 + 20*n**3 + 654. Factor z(r).\nAnswer: -4*r**2*(r - 5)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 7*d**4 + 311*d - 1 - 320*d + 5*d**4 in the form h*d + p*d**4 + b + f*d**2 + o*d**3 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 greater than or equal to 115\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide -35*39*464\/(-120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-5))\/(3\/(-10)). Let o be (-8)\/(-3)*30\/20. Suppose -2*k + o*k - 4*i = 16, -3*i = 5*k + 12. Solve m*y + 4 = -2*t - 2, k = 4*t - 5*y - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 35. Let o be h(33). Let a = o + -27. Calculate the remainder when a is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1079, 1078, 1077, 1076, 1075, 1074?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 21528\/7?\nAnswer: 21528\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2279 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 26*j**2 - 26*j - 15. Let p be k(-25). Suppose h + p*h = 0. Suppose h - 7 = -t. Calculate the remainder when 13 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 179 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.915 rounded to one decimal place?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -24116\/10935 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-l**2 + 5*l**2 + 0*l**2)*((1 + 2 - 4)*(0 + 3 - 2) + 6 + 9 + 9) to i + v*l**2 + y*l and give v.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 210*k**2 - 425*k**2 + 8*k + 220*k**2)*(5 - 3 + 0).\nAnswer: 10*k**2 + 16*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.376 + 26.784. Let a = 0.16 - p. Let d = 27.99999957 + a. Round d to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18743 - 56232 + 4*i + 18741 + 18745.\nAnswer: 4*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/18 and -68\/339?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5731025663 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8436 = -44*c + 12. Calculate the least common multiple of 12 and c.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110414 (base 5) to base 15\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/19))\/((j\/j**0)\/j)*(j\/((j\/(j\/(j*j\/j**(1\/8))))\/j))**(-3\/23))**(-8) assuming j is positive.\nAnswer: j**(-3071\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6487\/249 + 51\/83. Factor -80\/3*s**2 + l*s + 1\/3*s**5 - 10\/3*s**4 + 40\/3*s**3 - 32\/3.\nAnswer: (s - 2)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -141, -537, -1607, -3687, -7113, -12221, -19347?\n\"Answer: -56*n**3 - n**2 - n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 1, w: 1, s: 1, v: 1}. What is prob of sequence ms?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.105 - 37.505. What is u rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 13 + 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14598463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 458, 797, 1286, 1913, 2666, 3533?\nAnswer: 4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 18 + 19 + 24 - 4*j.\nAnswer: -4*j + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2428650385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 25 = 0, r - 4*v + 16 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413166 to the power of 1\/2, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14*0.04\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4608\/(1 - -7) + -8 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 200*x + 16. Let q be d(3). Suppose -2*b = 4*m + 370, 4*m = 5*b + 253 + q. Is b at least as big as -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - v + 12)*(4*v**2 + v**2 - 4*v**2) to the form t + n*v + i*v**3 + d*v**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/60)\/(1*-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*a**6 - 1377*a**5 - 460*a**3 + 7500*a**2 + 10090*a + 1 wrt a?\nAnswer: 9840*a**3 - 82620*a**2 - 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38845 is divided by 6473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -180*q. Let m(p) = 11*p**2 + 149*p - 2. Calculate s(m(n)).\nAnswer: -1980*n**2 - 26820*n + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 98*m + 4*m**2 + 0 + 101*m + 0 in the form p*m**3 + h*m**2 + f*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*(sqrt(200) + 4 + sqrt(200)*2) + -4))**2.\nAnswer: 7680*sqrt(2) + 29824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41025665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 4*c + 4*c**3 + 14 - 28 + (1 + 1 + 0)*(-5*c + 3*c + 3*c)*(52*c**2 - 109*c + 109*c) as u*c**2 + x*c + l + d*c**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -267.1198 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + -2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 36\/4 + (-248)\/(-24))*2829.\nAnswer: 5, 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/12)\/(6\/(-12)). Suppose -g = -m*j + 6 - 11, 4*j = -5*g - 4. Solve g = -l - q - 1, -19 = l - 3*l + 5*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-2)\/(-12) + 644\/3864.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 8 = -3*v, -2*l - 6 = 3043*v - 3047*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143478 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-1677)\/(-3594). Let x = 46243\/3594 + o. What is the common denominator of x and (-30)\/(-28) + (4 - 28\/7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 692*o - 1474*o - 6139*o in the form t*o + g and give t.\nAnswer: -6921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*j - 327 = -265*j. Differentiate -j - 3*s + 4*s + 6*s - 5*s - 2*s**2 wrt s.\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.6. Suppose -q + 3 = 0, 3*y - 199 + 76 = 2*q. Let h = y - 130\/3. What is the closest to h in 4, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1573) - ((sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 3))) + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 4*d - 5. Let a be g(-5). Suppose -u - 4*u = a. Suppose w + u*w = 10. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*f - 240*f = 208. Let m = f - -198. Calculate the remainder when m is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 - 5*y + 2. Let h(d) = 7*d**2 + 9*d - 3. Let q(o) = 5*f(o) + 3*h(o). Give q(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 2. Let v be -2*(-2 + 2\/r). Suppose 5*h = -10, -4*k + 3*h - v*h - 24 = 0. Sort k, 5, 2 in increasing order.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -69.2. Let h be 3\/(10\/(-4) - -1). What is the closest to 2\/7 in c, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 + 157. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 - 3*n - 7. Let w be h(5). Suppose -9*d + 5 = -13. Solve 12 = -3*v - l, -10 - w = d*v - l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2095223 and -2095219 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*30*4\/40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 45*k + 50. Let u(y) = -22*y - 20. Determine 6*f(z) + 13*u(z).\nAnswer: -16*z + 40","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6.691593kg to grams.\nAnswer: 6691.593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 26. Let j = -30 + l. Is 7 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24991 = 5*x - 22879. Suppose 2*a = 6 - 2, -x = -2*q - 5*a. Let u = -2329 + q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -11 + -11 + 45 + -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/31707 and 17\/21951?\nAnswer: 285363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (66\/(-4))\/((-175579)\/5662 + 31). Calculate the highest common factor of 4023 and l.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146498, 146692, 146886?\nAnswer: 147080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282 + 282 - a**2)*(-1 + 1 - 1)*(-4 + 1 + 0).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, y: 15}. What is prob of picking 3 j?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 30 = -3*z, -9*z - 5*x = -4*z + 40 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109295 or 109292?\nAnswer: 109292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/4)\/(12\/240). Find the common denominator of z\/45*12\/(-15) and 57\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 0 + 0 - 10*f**3 - 2*f**3 to the form h*f**3 + u*f**2 + i + o*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r + 1. Let d(h) = -3*h**2 - h**2 + 0*h**2 - 4*h + 0*h - h**3 - 4. Let v = 5 - 4. Give v*d(s) + 4*q(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 1 = -4*o, -3*d + 135*o - 130*o = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 79*m - 9. Determine v(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfifufif. What is prob of picking 1 u and 2 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 462.38165 to the nearest integer.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (105\/(-20) - -5)\/(49\/(-371)) and 86\/45?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-4) + 2 + (-6)\/4. Suppose h*i - 480 = -3*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3628058706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 527\/10 - 166\/5. Let m = -5418684013\/2053660 + -29\/102683. Let s = 2637 + m. Calculate the common denominator of s and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(4085*i**2 + 196854*i - 196854*i)*(4*i - i - 2*i) to the form l + r*i + b*i**2 + v*i**3 and give v.\nAnswer: 8170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 10*y**2 - 65*y + 121. Determine n(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -1\/7, -6 in descending order.\nAnswer: -0.13, -1\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.06. Let f = 2.94 - u. Put -5, -1\/4, f in increasing order.\nAnswer: -5, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 13. Suppose -12 = -3*t - t. What is the smallest common multiple of u(-7) and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 243, 729, 1455, 2427, 3651, 5133, 6879?\n\"Answer: p**3 + 114*p**2 + 137*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 5. What is b(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 45 = 6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3308.133 litres?\nAnswer: 3308133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0089 + 1.1171. Let a = -0.126 + v. Let o = -2 - -1.8. What is the closest to 1 in 2\/11, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15329785871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(4*sqrt(2736) + -2 + 2) + 1)**2.\nAnswer: -576*sqrt(19) + 1575937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 117052 = -13*x + 8*x, -x = -6*s + 702219. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332240 (base 5) in base 8?\nAnswer: -26462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23208 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.219 - 0.019. Let c = -13514 - -13514.1. What is the closest to 0.1 in i, c, 2\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 699 + 975. What is the remainder when c is divided by 0 + 3 + (-3 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 41. Suppose x - 3 = -d*w, 4*x - x = -5*w + 25. Let o(k) = 22*k**3 - 2*k**2 - 2*k + 1. Let y be o(2). What is the highest common divisor of x and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -42. Suppose 1 = 4*q - s. Suppose -u = 3*a + 1, -5*u = 2*a - 9*u - q. Solve a = -5*i + 30 - 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 252 = -4*a, 3*a + 5*o = a + 105. Suppose 0 = 2*s - a - 192. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*w + 0*w - 2*w)*(0 + 3 - 2) + (-4 + 5 + 0)*(33*w + 4 - 4))*(4*w - 4*w - 5*w) as r + t*w**2 + c*w and give t.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {l: 1, e: 3, t: 7, r: 1}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3\/10*j**4 - 14 + 0*j + 27\/5*j**2 + 16\/5*j**3. Suppose f(s) = 0. What is s?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3493, 3499, 3517, 3553, 3613, 3703, 3829?\nAnswer: 3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-3)\/(-1)))\/(34\/(-2805)*11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.045 (b) 2\/19 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*n + 62*n = -85260. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-48))\/(2\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**5 - 8*y**4 - 6*y**3 - 3*y**2. Let o(w) = w**5 - w**3. Let l(g) = i(g) + 5*o(g). Factor l(z).\nAnswer: z**2*(z - 3)*(2*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8218 (base 13) in base 7?\nAnswer: -103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:45 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-42)\/35) - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 1535, 3603, 6515, 10277, 14895, 20375?\nAnswer: 26723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 88167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 170. Calculate the highest common factor of 114 and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6581242*d*v**2 - 41*d - 3*v**4 - 27095 wrt v?\nAnswer: 13162484*d*v - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1582 - -2391. What are the prime factors of x?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (5 + -2)) + 1. Suppose 3*o = l*o + 45. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*n + 9, 0 = -c + n + 2*n + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1350279 millennia in centuries?\nAnswer: 1.350279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 + 6*w + 4. Let u be q(0). Find l such that -6*l**5 + 16*l**2 + 2*l**3 - 8 - 4*l - 18*l**4 + 10*l**u + 2*l**5 + 6*l**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 517.9706 kilometers?\nAnswer: 517970600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 9 - 9 + 4*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1794 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 386940 and 17895975?\nAnswer: 71583900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 - 12520*a**4 + 25060*a**3 - 10*a**2 - 25055*a + 12530 = 0. Calculate a.\nAnswer: -2506, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 8. Suppose j*u - 10 - 5 = 0. Suppose 0 = u*d - 12 + 7. What is the closest to 1\/2 in 4, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/341 and 87\/310?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 4128894 = -6*y. What is the hundreds digit of y\/(-330) - 8\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 - (-199)\/3)\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f + 76 + 72 + 7*f - 8*f.\nAnswer: -16*f + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 34244.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*f = -f + 24, 4 = n + f. Solve -x = -3*x + n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -80, -118, -156, -194, -232?\n\"Answer: -38*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -933, -3\/4, -4.0388?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d. Let c(q) = -97872*q**2. Give t(c(p)).\nAnswer: -685104*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 + 30*w**4*z**3 - 2*w**3*z**2 + w**2*z**3 - 44*w**2*z wrt w?\nAnswer: 60*w**2 + 720*w*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*d - 40 = 23, 0 = -4*k + d + 84. Let q = -15 - -5. Let j be (-4154)\/(-18) + q\/(-45). Calculate the greatest common factor of j and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12553.5786 rounded to the nearest integer?\nAnswer: -12554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (10 - 43) + 26 - (3 + -37)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -20. Let k(z) = -z - 7. Let f be k(t). Solve -1 = 3*d - 2*l - f, -l = -4*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z**2 + 3*z + 3. Calculate a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143850876*k**3 + 128210025*k**2 wrt k.\nAnswer: 863105256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -53 + (65 - (8 - -19)) - (1 - 30)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieaeexiettda. Give prob of sequence dati.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*j + 16*j - 41 = 0. Which is smaller: 38 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**3\/3 - 1. Let m(w) = -1. Let k(y) = -y - 2. Let d(j) = -2*k(j) + 4*m(j). Determine d(b(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3046756 (base 10) to base 14\nAnswer: -594496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2531 - 1437. Does 66 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6*d**3 - 8*d + 0.\nAnswer: -6*d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2783*w - 556605. Give x(200).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 473*d**2 - 44*d + 233. Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-7 + 2 + 10 + -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 539767, 0, -5 in ascending order.\nAnswer: -5, 0, 539767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6674350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118625 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*g + 2\/7*g**3 + 6\/7*g**2 + 2\/7.\nAnswer: 2*(g + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25806621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 (base 6) in base 3?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 6 = 0, -11*d + 9*d = 49*i - 53*i - 6 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 635\/35 + (-2)\/14. Let o be 0*2\/(4\/1). Suppose o*z + y = z. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17a + e?\nAnswer: -16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*((63\/(-14))\/(-1))\/213\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33288 or -31442?\nAnswer: -31442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**9\/7560 + d**8\/1680 - d**6\/180 - d**5\/60 + 7*d**4\/24 + 5*d**2. Let h(n) be the second derivative of p(n). Factor h(o).\nAnswer: 2*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -65. Suppose -2*o - y = -10. Let z(g) = -g**3 - 8*g**2 - 6*g - 4. Let q be z(o). Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 2*q**4 - 50*q. Let j(p) = 3*p**2 + 5*p - 5. Let l(o) = -2*o**2 - 4*o + 4. Let z(c) = 4*j(c) + 5*l(c). Determine z(w(t)).\nAnswer: 1152*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 2 + 17*y - 25*y + 10*y + (89 - 76 - 97)*(-4 - 2*y**2 + 4).\nAnswer: 167*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3459 + 5*u + 713 + 924 + 916 + 906 - 3*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1120819574 at most -1120819575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m\/m**(2\/19)*(m*m**(-2))**(14\/9))\/((m\/(m**(-6)\/m))\/m*m**(-5)*m*m\/(m*m*m*(m*m**(-1\/9)*m*m)\/m*m)*m\/(m\/m**(1\/4)*m)) assuming m is positive.\nAnswer: m**(-5\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 228143980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.1? (a) 1\/5 (b) -21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -45. Suppose 0 = -2*q - 3*q + 3*f + 411, -i*q + f + 333 = 0. What is the greatest common factor of 28 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 1272*n + 74497. Give g(-54).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/7, -3, -4691?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -0.18. Let s = k + -1.9. Let i = 2.0007 + s. Round i to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2*q**6\/15 + q**3\/3 - 3*q - 2. Let b(y) be the first derivative of g(y). Find the second derivative of b(a) wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20682088.\nAnswer: 2, 7, 139, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14 + (-1292)\/238.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.1 (b) -2\/3 (c) 0.1 (d) 0.064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/20 - 161*o**3\/2 + 3209*o**2\/2 + 269*o. What is the first derivative of n(h) wrt h?\nAnswer: -3*h**2 - 483","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/(3\/(-18)). Suppose -2*t = v - 7, -3*v - x*t + 7 = -10. Solve 3*w + 11 = 5*j, -v*j + 51 - 16 = 5*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 6*g - 3. Let z be i(4). Suppose -v = z*a - 83, -2*v = a + v - 25. What is the smallest common multiple of 10 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/27)*d*d\/(d\/(d**(-13)*d)) assuming d is positive.\nAnswer: d**(-272\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5 less than -1220?\nAnswer: -1212.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 90, 4, 1, -5, 2 in decreasing order.\nAnswer: 90, 4, 2, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 235*q**2 - 237*q - 2017. Let c be n(-9). Calculate the highest common divisor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23\/3, 5, 39?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1630, -1295, 1006, 5273, 11506?\nAnswer: 19705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27\/163 + 7445\/1304. Suppose -1 = j + 7. Find the common denominator of z and (j\/(-70))\/(2\/20).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - i + 2 - 30)*(-55 - 9*i**3 + 55).\nAnswer: 9*i**4 + 621*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-15680)*-150)\/((-10)\/32)\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19747 and 6109883.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 11 - 26, 74*d + 35 = 72*d - 0*l - 5*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.331971 hours?\nAnswer: 199.91826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxnnznnznznnnznxzznn. Give prob of sequence zn.\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121572559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 312045 * -791\nAnswer: -246827595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:21 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836875?\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -533267 >= 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 40 + 9 = -5*d, 3*f = 3*d - 15. Let y = 11 - d. Let s = y + 5. Solve -p + 6*p = -s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g)**(2\/71)*(g\/(g*(g**3\/g)\/g*g))\/g**(-4))\/((g*g\/g**1*(g*g**(2\/11))\/g*g)\/(g**(-7)*g*g**7*g)) assuming g is positive.\nAnswer: g**(1442\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 17794 - 17794.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -398 > -398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4483983 divided by 1494661\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1413883*o**3 - 1308023 wrt o?\nAnswer: -4241649*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88200?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and 20.336.\nAnswer: 11.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4\/17 + 11059954*c**3\/17 - 38709874*c**2\/17 + 2277052*c - 11059968\/17 = 0. What is c?\nAnswer: -2764992, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 14*l + 10*l - 669 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**5\/5 + 25*w**4\/4 + 224*w - 67. Differentiate s(i) wrt i.\nAnswer: 12*i**3 + 75*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3151175 - 2171150. Suppose -l = 3*x - 2*x + 490005, 2*l + 5*x + p = 0. Round l to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94348 - 44999. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bc1ea (base 16) in base 9?\nAnswer: 1403873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -583 and 0.3.\nAnswer: -174.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*t + 439*t - 1211*t + 309*t.\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*d - 10 = 0, 2*m - 2*d - 26 = 2*d. Suppose 2*s = -3*n + m*s + 1, -2*s = 3*n - 16. Suppose 5*h + 348 = -n. Round h to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {s: 1, m: 3, o: 1, k: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1232\/528*(-6)\/56?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - i + 5. Let o be u(0). Suppose -3 - o = -2*s. Let p(l) = -s*l + 0 - 2 + 0. Calculate p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, 49\/4, -67 in descending order.\nAnswer: 49\/4, -2\/11, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -31, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j + 2 = -m, -2 = -3*j + m. Suppose -2*p - 4 = j, -4*p - 24 - 12 = -4*v. Let u be 7\/(v\/3) - 5700003. Round u to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-210) - (-14)\/(-10))\/(143\/(-33)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 4. Let a(i) = 10*i - 9. Determine -3*a(x) - 7*o(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.8 + -29.69025. Let p = s + -0.11. Round p to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2656889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 4\/5, 10\/7, -192, -1?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -465 + 462 + 7 + 21\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -109*x + 147. Let p be y(-5). Suppose 4*b + 692 = 6*b + 4*n, 2*b - p = -2*n. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 47954517?\nAnswer: -4795451a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 12 = 8*s. Suppose -2*q - 13 = 3*g, 4*q = -g + 1 - s. Let n be ((-5)\/q)\/(1 + -2). Solve -15 = 3*m - 2*r, 0*m - n*m - r - 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0342209 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 4*b - 5. Let p be o(-3). Suppose -67*z - 43 = 24. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*v = -6, -3*a + 5*v = 3*v + 4. Let m be 4\/(-2056)*2110223 - (-18)\/(-12). Let s = 4107 + m. Are s and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - h = -2*h + 12, 0 = 4*u - 4*h. Solve -7*c + u*c - 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 6*x**2 + 10*x - 10. Let a be y(-11). Suppose -11*g + a + 2375 = 0. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8249\/2810 - -10\/281. Calculate the common denominator of f and -31\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 3*x**2\/2 - 2. Let w(b) = -32*b - 24*b - 34*b + 87*b. Give l(w(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61536 or 0.4?\nAnswer: 61536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302\/(-18) + 51*272\/(-62424).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-45))\/((-12)\/(-90)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 483.3 + -428. Let n = j - 55. Which is the nearest to -2? (a) -1\/4 (b) n (c) -2\/9 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(40\/5))\/(83\/(-1411)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 + 157*k**2\/2 + 308*k + 306 = 0. What is k?\nAnswer: -153, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1. Let m be l(-1). What is the remainder when (-8)\/(m - (-2)\/(-16)) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -4. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6930\/(-28))\/(-15) - (9 - 0).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - 2*b**3 - 6*b**2 - 281 + 3*b**3 + 285 = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 779047376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 408, 3018, 10126, 23976, 46812, 80878, 128418?\n\"Answer: 374*o**3 + 5*o**2 - 23*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -21*c + 48. Let t be m(4). Calculate the remainder when 42 is divided by (6\/(-36)*8)\/(2\/t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 971, 1942, 2913, 3884, 4855?\nAnswer: 5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-46) + ((-846)\/(-207) - (25 + -50))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(1 - (-7)\/(-5)). Suppose -6 = -2*l + q. Suppose -52 = -2*r + 2*g, 85 = 5*r + l*g - 0*g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -11*f**5\/10 - f**4\/6 + 5*f**3\/6 - 2*f**2 - 2*f - 24. Let y(i) be the first derivative of v(i). Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:33 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6650304 litres in millilitres?\nAnswer: 665.0304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -10211448?\nAnswer: 10211445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 2*t**2 - 3*t**3 + 3*t**3 + 4*t**2. Let j be k(-2). Find the second derivative of -4*w + j*w**3 + w - 2*w**3 + w**3 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038328 plus 10345188?\nAnswer: 10345188.038328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let q(z) = -z**2 - 5*z - 1. Let h be q(-4). Let g(a) be the first derivative of -4*a**3 - 4 + 0 + 3*a**h. Calculate v(g(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 5*d**2 + d**2)*(-5 + 3 + 3)*(2*d**2 - 2 + 2)*(-2 - 5 + 4 + (2 - 2 + 2)*(4 - 3 - 3) + 6 - 1 - 3).\nAnswer: -60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -72. What is the third derivative of 7*c**2 + 5*c**4 + 10*c**2 - 16*c**n wrt c?\nAnswer: -264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 2 k when four letters picked without replacement from ueuuekuumeuukueeeufu?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1847, -3691, -5535?\n\"Answer: -1844*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(208)*-3)**2 + 0.\nAnswer: sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 1. Let t(g) = -21*g. Give b(t(n)).\nAnswer: 882*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*t = 6*u + 16, -2*t - 10 = 0. Let l be 3510029 + -34 + 5*u. What is l rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75376.8 and 6?\nAnswer: -452260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/270814 and 15\/2444.\nAnswer: 7041164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -8 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1944 and 161\/20880?\nAnswer: 563760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*v**2 - 85*v**2 + 251*v**2 - 78*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b - 14. Let m(o) = -9*o + 27. Let l(s) = 2*s + 10. Let r be l(-5). Suppose r + 4 = 2*f, -w + 10 = 3*f. Let q(x) = w*m(x) + 7*u(x). Determine q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15651079 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/3 - -17\/2. What is the closest to -1\/2 in d, 1\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2047, -9255, -21631, -39175?\n\"Answer: -2584*u**2 + 544*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t**3 - t**2 - 3*t - 1. Let i be x(-1). Let f be i\/33 - 212\/(-6). What is the greatest common divisor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1497 and 3303.\nAnswer: 1648197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*j*r**4 - 11*j*r**3 + j*r**2 + 123949*j + 20*r**4 + r**2 wrt r.\nAnswer: -1776*j*r - 66*j + 480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 - 151*u + 73. Calculate y(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 b when four letters picked without replacement from {b: 6, j: 5, u: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 1. Let g be u(1). Let c be 0\/g + 0 + 6. Let o(l) = 2*l. Let k(n) = n + 1. Let f(r) = -3*k(r) + 2*o(r). Calculate f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -14. Is (-218)\/(-6) - (-2)\/n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/3)*h*(h\/(h*h**16))\/h)**(-42) assuming h is positive.\nAnswer: h**602","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10c230 (base 13) to base 16\nAnswer: -612d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:46 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/5, -32, -2\/3, 0.2, -2 in descending order.\nAnswer: 18\/5, 0.2, -2\/3, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183323 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237633 - 890*c**2 - 615*c**2 + 237633 + 39*c**2.\nAnswer: -1466*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 80*t**2 - 4717*t - 301. Give x(59).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 23*f**3 - 2*f**2 + 3*f. Let b(q) = 11*q**3 - q**2 + 2*q. Determine 5*b(i) - 2*s(i).\nAnswer: 9*i**3 - i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -53. Find the common denominator of 3\/3*75\/q and 89\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2336 is divided by 440.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 1426*n + 5736.\nAnswer: -2*(n - 4)*(n + 717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let z = 1297 - 1303.59. Let a = z - -6.7. Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/66*-2 - 38\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + 200\/56\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -491 or -605732?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16323, -32638, -48983, -65370, -81811, -98318, -114903?\nAnswer: -131578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**7*y)*y*(((y*y\/y**(-3\/5)*y)\/y*y)\/y*y*y)\/y*(y*y**1\/y)**(-9\/5) assuming y is positive.\nAnswer: y**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*n - 105*n + 180*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2300 + -40201.\nAnswer: -37901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*c**2*q**2 - 23222515*c**2 + 139301*q wrt q?\nAnswer: 32*c**2*q + 139301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 6*l**2 - 6*l - 2. Suppose -5*k + 0*k - 4*n - 17 = 0, -3*n = k - 1. Let p be h(k). Solve p*d - 2*d = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 386 and 7986919?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/363 + -13411\/3630. Find the common denominator of (-31)\/(1674\/15)*-2 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1841523787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -774*x**5\/5 - 31*x**3\/3 + 5*x**2\/2 + 67. What is the third derivative of c(b) wrt b?\nAnswer: -18576*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29059 + 160880. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.002*10.39271.\nAnswer: -0.02078542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -149390192 and -0.06.\nAnswer: 8963411.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 114576.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-1*6 - -2). Suppose 0*f = -i*f + 55. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 737.071ug?\nAnswer: 0.737071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 22267 = 5*r, r + 3*k = 4*r - 13365. List the prime factors of r.\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 20*o - 8 = 3*m, -5*o = m + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Suppose b*h = 4*p + 8, -3*h - p = -11 - 15. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 79 - 132 = -11*m. Solve 0 = 3*h + 5*q + 17, -h = 4*h - 5*q - m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 220*j + 18181. Determine n(-90).\nAnswer: -1619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 5. Let m be g(0). Let f be 4\/190*(-25)\/m. Let p be (-6)\/27 - (-68)\/(-18). Which is the second biggest value? (a) 0.4 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**3\/2 + 16*p**2. Let t(o) = -o - 8. Let k(j) = 3*t(j) - 8*x(j). Let a(z) = 4*z. What is k(a(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 871570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:25 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 572\/3 + -189. Let y = 27 + 0. Let p = -25 + y. Sort p, b, -0.5 in descending order.\nAnswer: p, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udf when three letters picked without replacement from udffnnf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 72*w - 12 = -74*w, -w + 9 = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, 7, 11, 13?\n\"Answer: -q**2 + 9*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1934 divided by -967.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -59.829. Let v = 12.671 + c. Round v to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.57 minus 488739.27811?\nAnswer: -488734.70811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -9. Let o = -20939 - -20957. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, -6, -2, 0, -4, -1 in descending order.\nAnswer: 157, 0, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 31 + 149*w**4 - 24)*(-20*w + 7*w + 8*w).\nAnswer: -745*w**5 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26049506, 26049507, 26049508, 26049509?\nAnswer: 26049510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 - 1.8. Let a = k - 4. Let x = -364897\/2189400 + -1\/729800. Sort 7\/6, 2, a, x in ascending order.\nAnswer: x, a, 7\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1)\/l*l**(2\/19)\/l*l)\/(l**(1\/3)*l)**(-35)*(l\/(l\/(l*l*l\/(l*(l\/(l**(-11)\/l))\/l)))*l**(-9\/7))**(1\/6) assuming l is positive.\nAnswer: l**(11675\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8503158066.\nAnswer: 2, 3, 13, 43, 1031, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-10))\/(1\/4)*(-10)\/(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 13*x**2 - 22*x - 16. Let f be n(11). Let o(t) = 3*t + 59. Let y be o(f). Find the second derivative of y*r**3 - 4*r**3 + 2*r**3 + r wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 + 2*f - 5. Let o(l) = 2*l**2 - l. Determine -4*o(r) - u(r).\nAnswer: -3*r**2 + 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 45949.82 times -0.17\nAnswer: -7811.4694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5563335*r**3 - 280956.\nAnswer: -16690005*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 1. Let j(x) = x - 1. Let k be j(0). Which is the third smallest value? (a) 1 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + ((sqrt(1573) + 1)*-3 - sqrt(1573)) - (sqrt(1573) - (sqrt(1573)*2 + -5))) + (3 + 5 + 0 + sqrt(1573) + sqrt(1573))*3)**2.\nAnswer: 1408*sqrt(13) + 25424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 1003260*z - 34111996.\nAnswer: (z - 34)*(z + 1003294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by (-608)\/12*((-2)\/13 - 481\/169)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11016 - -0.0795?\nAnswer: -11015.9205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 20*m + 57. Let n be f(-15). Let v be -13 - n - (0 + 5). Solve 22 = 3*b - 2*i, -3*b + v*b = i - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**2 + 49*z**3 + 56*z**3 - 108*z**3 + 13*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3358*x + 111*x**2 - 3357*x + 4*x**3 - x**3 - 1 to the form z*x + p*x**2 + n*x**3 + g and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25891 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 673 - -3636?\nAnswer: 41a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4 + 530*f**3 + 15836*f**2 + 29568*f = 0.\nAnswer: -231, -32, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 127. Let f be 9\/(-2)*56\/(-126). Solve -m = -f*a + b, 8*a - 17 = -m + 3*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + sqrt(152) + -6*(sqrt(152) - (sqrt(152) - -4*sqrt(152))))\/(sqrt(40)\/(sqrt(20) + sqrt(5))).\nAnswer: 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 x when four letters picked without replacement from xxxxxxsoxoxsxsoo.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*u**2 + 7)*(-2*u**3 + u**3 + 0*u**3) + 10*u**5 - 4*u**5 - 4*u**5 + (2*u**2 - 6*u**2 + 2*u**2)*(2*u**3 + 1 - 1).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (-6 - -6) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28786, 55026, 81266, 107506, 133746?\n\"Answer: 26240*o + 2546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.44 - 0.44. Let z = 7 - y. Let i = -23 - -22.9. What is the smallest value in z, -0.03, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((783\/(-12))\/29)\/((-105)\/28).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 53 - -5e42f?\nAnswer: 5e482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4*q - q)*((-115*q - 134*q - 101*q)*(4*q**3 + q**3 - 6*q**3) - 3*q**4 + 2*q**4 - q**4) + q**5 - 2*q**5 + 2*q**5.\nAnswer: 697*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 4:07 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3 + 9421*t - 9418*t - 2*t**2 - t**3 + 2 + 0*t**3. What is q(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(4951040 - 6172*a - 4951040).\nAnswer: 12344*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 6*i**2 - 6*i + 6. Let c(p) = -17*p - 17*p**2 - p**3 + 17 + 8*p**3 - 12*p**3. Give -17*a(v) + 6*c(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/7)*(g*g\/((g\/(g\/((g*g*g*g\/g**(-17)*g)\/g)))\/g)*g)\/g*g*g*(g**(-2\/7))**(-41) assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 7:00 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*k + x - 11, -5*k = -2*x - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/((-4)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8747 - 8752. Let p(q) = -18*q - 79. Give p(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -59.68. Let s = n - -2.2. Let p = s + -0.1. What is p rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (63\/27)\/((-6)\/198). Let p = -75 - b. Solve -2 = 3*i - p*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4902 and -115\/84.\nAnswer: 68628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 2*s = -3*s - 182 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/5 - 196419*z\/5 - 39284 = 0 for z.\nAnswer: -1, 196420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132.077 - 132. Let m = -0.023 - n. Suppose 4 = q - 0. Which is the closest to m? (a) q (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w + 180000 = 0. What is w rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.84, -4, -2\/3, 1\/47?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 15*f + 139. What are the prime factors of y(-12)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*1224224\nAnswer: -612112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*p = 302*p + 8672 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 384293 to the power of 1\/2, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 576*x**2 + 1662 - 13*x**2 - x + 1671*x**2 wrt x?\nAnswer: 4468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17309, 17310, 17311, 17312, 17313?\nAnswer: 17314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + s - 4*s)*(-15 + 15 - 21) as y*s + i and give y.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 974*x + 1642*x + 154344 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078448.\nAnswer: 2, 7, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -284700 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117385342 is divided by 5952?\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 = 4*u, 6 = 8*b - 6*b + 3*u. Solve -2*f = i + 3, b = 5*i + 4*f - 2*f - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -279*c + 5861. What is a(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.51 - 785.51. Let p = -776.9153 - u. What is p rounded to three decimal places?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.6 - 29. Let k = x - 5.31. Let r = k - -1.71. Which is the third biggest value? (a) 1 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrkkwmyy. What is prob of sequence ym?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, i: 6, a: 2}. What is prob of sequence yy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:06 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2376668 and 7\/119832.\nAnswer: 14260008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -19952*s**2\/3 + 10604*s\/3 - 314\/3 = 0. Calculate s.\nAnswer: 157\/4988, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2577 - -4223892756.\nAnswer: 4223890179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*o + 3235 = -1777, -5*m + 6271 = -o. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19186 by -1031.\nAnswer: 19186\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52\/20 + (-4)\/(-10) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*n - 3*n = 0, -5*n = -15. What is the units digit of ((-2842)\/(-147))\/(1\/s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 50. Suppose 2*g + 3*g = k. Solve t = -g*t + 5, 0 = 4*y + 2*t + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.914 - -0.1175962\nAnswer: -0.7964038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 + 5*w**3 - 2*w**3 + (w**2 + 2*w - 2*w)*(-w + w - w) + 33*w**3 + 26*w**3 + 7*w**3 to the form i*w**2 + s*w + t*w**3 + p and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2. Let l(r) = -r**3 - 7*r**2 + 4*r + 9. Let u be l(-6). Let v(t) = -9*t**2 + 17. Let z(n) = u*y(n) - 6*v(n). Determine s, given that z(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -20*l + 18*l + w - 12 + 11, 30 = -4*l - 2*w for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75401426 to the nearest integer?\nAnswer: 8683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85828 - -156365. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*k - 0*k + 40, 2*k - 14 = m. Suppose -5*y = k*w + 5, 0*y + w + 7 = y. Is 79*(-5)\/(-2 - y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxiyxymxtytf. What is prob of sequence it?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -65*o + 19\/2*o**4 + 0*o**2 - 37\/20*o**5 + 0*o**3 + 0. What is the third derivative of f(y) wrt y?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let z(f) be the third derivative of f**6\/180 + 2*f**3\/3 - f**2. Let s(n) be the first derivative of z(n). Calculate s(g(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:35 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 55. Let q = 96 - 111. Let d = w + q. Calculate the least common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 71*3256.\nAnswer: 231176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.0208598\nAnswer: -0.00417196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21110 + 12?\nAnswer: 21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 172, 379, 658, 1003, 1408?\nAnswer: 1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/64)\/(1\/(-2719767)). Let x = f + 339244. Let t = x - -736. Calculate the common denominator of 40\/11 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43502 divided by -10\nAnswer: -21751\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z - 152. Give k(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3748 and 1.65772.\nAnswer: -3746.34228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4 - 6*m**2 - 7*m - m**2 + 6*m**2. Let s be n(-6). Suppose 4*u = -s*d + 40, 0 = -2*d + 4*u + 8 - 0. Solve -4*z - 16 = -4*k + d, -1 = k + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 29*p**2 - 1. Let q(d) be the first derivative of d**4\/4 - 2*d**3 - 3*d**2 - 8*d - 2. Let t be q(7). Is n(t) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 7*f**4\/96 - 73*f**3\/12 - 21*f**2\/4 - 227*f. Determine u so that i(u) = 0.\nAnswer: -2\/7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.1, 4\/7, 9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238122 to the power of 1\/2, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -31*w + 32*w - 5, 5*w = 3*v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i - 4. Let r be 4 + 25\/20 + 2\/(-8). Calculate s(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2968.\nAnswer: 1\/2968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 11:39 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/5)\/k*k**1)\/((k\/k**(-3))\/(k*k\/(k\/k**(1\/2)))))\/(((k\/(k*k*k*k**(-5)))\/k**(-2\/7))\/((k**(-1\/4)\/k)\/k*k)**1) assuming k is positive.\nAnswer: k**(-1069\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -0.2 (c) -1516 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 7*q - 5. Let m be d(6). Let o = -25363 + 25425. Is m at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221301 is divided by 697?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1878 is divided by 626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, e: 1, m: 1, c: 1}. Give prob of sequence cp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q**3 - 2*q)*(-12*q**2 + 25*q**2 + 14*q**2)*(3 + 3 + 0).\nAnswer: -162*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 127526813 divided by 1\nAnswer: 127526813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -257, -1\/4, 0.6, -1, 2\/23?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.949672km in meters?\nAnswer: 7949.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 361*x**2 + 40*x + 2. Let b(j) = -32*j + 323. Let l be b(10). Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2. Let m(a) = -72486950*a. Determine m(t(f)).\nAnswer: -289947800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 2972419770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 173, 410, 753, 1208, 1781?\nAnswer: 2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 2 + -3)**2.\nAnswer: -4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.13 (b) -0.3 (c) -9745 (d) 5 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 12*f + 10*f - 1)*(8 + 0 - 13)*(-1 + 2*f + 1)*(3 + 2 - 2).\nAnswer: 150*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32775165 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 7574, 177, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*l + 2 = 0, f + l = -2*l + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/23)\/(12\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -54 (b) 1\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*j - 1003 = 0, w - 5*j = -3*j - 501. Let n = 868 + w. List the prime factors of n.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.2962 + 5.432. What is s rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6335 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 507945382 rounded to the nearest 1000000?\nAnswer: 508000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018281?\nAnswer: 3, 11, 59, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/360 and 167\/110580?\nAnswer: 663480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/25)\/n*n*(n*n*(n\/((n*n*n*n**(-10)*n*n*n)\/n)*n*n)\/n*n*n)\/n*(((n*n\/(n\/n**(-9)))\/n)\/n)**(-4\/5) assuming n is positive.\nAnswer: n**(473\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12752\/5 + -2550. Which is the closest to 3? (a) -80 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + (0 - -3)*(-3380)\/(-12)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 6. Suppose 0*t - v*t = 5*i - 47, -2*i + 15 = -3*t. Suppose 0 = -h + i - 4. Solve 0 = 5*d - 20 + h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = -34*c + 8. Suppose -5*w = -13 - 2. Suppose -2*j = -10, -w*f + 5*j = -c*f + 480. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63708702, -63708699, -63708694, -63708687, -63708678, -63708667, -63708654?\n\"Answer: m**2 - 63708703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212263 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -a + 4, -10*a = 2*r - 5*a - 20. Solve -47*n + 44*n + 3 = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*o**3*p + 3470*o**3 - 104*p**3 wrt p.\nAnswer: 13*o**3 - 312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2 - 37\/37. Let d(m) = -5*m - m**2 - 5 + m**x - 8 - 9 + 36 - 16. Give d(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-7 + 3 - (1 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 40\/13.\nAnswer: -0.4, 2, 40\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -519, -1073, -1485, -1545, -1043, 231?\n\"Answer: 35*p**3 - 244*p**2 + p + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 8*r - 14*r. Which is smaller: r or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -6 + (20 + -37 - 22)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -96570 rounded to the nearest 1000?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 + l**4\/3 - l**3\/3 - 3*l**2 + 4*l. Suppose v + 20 = -4*v. Let p be m(v). Solve k + k = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1528741*a**4 - 2129494 wrt a.\nAnswer: -6114964*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owo when three letters picked without replacement from wooowowwwwwo?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 48576985 and -0.2236?\nAnswer: 48576985.2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 6 - 228*a**3 - 8*a**2 + 227*a**3 - 16*a. What is f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3358 + 536*n - 3279 + 6637.\nAnswer: 536*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 147*h**6\/2 + 22*h**3\/3 - 5*h**2\/2 - 11*h - 3930. What is the third derivative of i(x) wrt x?\nAnswer: 26460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 11*h**2 - 14*h - 38. What is u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 + n + 3 - 2. Let y be w(-1). Let t(o) = -27*o**3 + 3*o**2 + 3*o + 67*o**3 - 39*o**3 + 2. Give t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x + 198. Let u = -206 - x. Let q = 153 + u. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102451 or 102626?\nAnswer: 102626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 37*m = -99. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-27))\/(5734\/183).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-30) + 15\/((-3900)\/32)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:14 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005373724 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 - -237. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120038 - 1200491\/10. Calculate the common denominator of p and 23\/15*(-3)\/(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s + 0*s**3 + 1\/60*s**5 - 2*s**2 + 0*s**4 + 0. Let t(x) be the first derivative of -x**2 - 3. Calculate u(t(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20*(-16)\/(-40) + -7 + -5. Which is the fourth smallest value? (a) -1\/2 (b) t (c) 4\/3 (d) -19.7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 33 - 27. Calculate the highest common factor of a and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -48, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 8) in base 12?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -218c7b8?\nAnswer: -218c7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24832960 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29773 and 244169?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 901 - 892. Suppose 0 = 89*y - 92*y + c. Solve 6 = -3*x - 5*l - 7, y*x - l - 17 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.3 (b) -10.756 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 93.8*-0.06\nAnswer: -5.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 7 + 12)*(68*m - 23 + 23)*(0 + 0 + 1) + 9 + 5*m - 9 as t*m + u and give t.\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -310, -603, -884, -1147, -1386?\n\"Answer: h**3 - 300*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {m: 9, w: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -53, -173, -403, -779, -1337, -2113, -3143?\nAnswer: -4463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 54, 83, 126?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 + 8*y**2 - 7*y - 1. Let m be q(5). Let h = 606 + -211. Let t = m + h. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {x: 3, l: 4, r: 1, i: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, q: 5, l: 3, x: 2}. What is prob of sequence lq?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15 + 487*q**2 - 4 - 538*q**2 + 50*q**2. Suppose 4*g + 5*l + 10 = 0, -5*l = -6*g + 2*g + 10. Calculate v(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 7*u - 12. Let s be n(-7). Does 22 divide 22 + s - 2\/(4\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -322, -0.05, 3\/5, 7, 0, 5 in descending order.\nAnswer: 7, 5, 3\/5, 0, -0.05, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 101994, 101998, 102002, 102006, 102010, 102014?\n\"Answer: 4*d + 101990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (3 + -1 - 0). Let f(c) = -c**3 - 2*c**2 + 4*c - 3. What is the tens digit of f(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (1 - (-30)\/(-5)) + 13. Solve -5*s + a = 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -13. Let r = s + 27. What is the greatest common divisor of 40 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6037026 is divided by 256?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601 = 2153*i - 4907 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -571.9 + 572.2. Which is the fourth smallest value? (a) p (b) 7 (c) 0 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 866227*x = 866222*x - 20, 8*g = -5*x - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -5, 0, 58, -161 in decreasing order.\nAnswer: 58, 0, -5, -68, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218*p**3 - 2*p - 16*p**3 + 85*p**3)*(-10 + 10 + 6*p).\nAnswer: 1722*p**4 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*u = -1487 - 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -1.1 (c) -4 (d) 18\/4289\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + 3 + 2*t**2 - 1)*(-6*t + 2 - 5*t + 13*t) to b*t**2 + k*t + j + l*t**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445095, -444646, -443897, -442848, -441499?\nAnswer: -439850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/20 + 3*j**4\/8 + j**3\/3 - 12*j**2. Let l be i(3). Suppose -4*w - 4*m + 76 = 0, -w + l*m = -0*w - 25. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o - 2. Let j be b(0). Let y(u) = u - 2. Let h be y(-3). What is the smallest value in h, 5, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, z: 2}. Give prob of picking 4 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 304 and -0.77.\nAnswer: -234.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g**2. Let q(j) be the first derivative of -481*j**2\/2 + 1233. Determine u(q(a)).\nAnswer: 3470415*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 75.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -900*c**2 + 414*c**2 + 484*c**2. Let q(i) = 646*i**2. What is y(q(g))?\nAnswer: -834632*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**6\/60 + 7*c**5\/60 + c**4\/18 - 5*c**3\/6 + 3*c**2\/4 - 28*c. Factor x(u).\nAnswer: (u - 1)*(u + 3)**2*(3*u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 621*t + 7. Let j(g) = -9*g - 12. Let c be j(-5). Suppose -c*n - 9 = -36*n. Let m be i(n). What is m rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 33. Let i = -69.824 + 81.824125. Let w = n - i. What is w rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0*z - 19*z**2 - 1\/3*z**5 + 0 + 0*z**3 + 13\/30*z**6 + 0*z**4. What is the third derivative of b(d) wrt d?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02076 to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*o - 2, 2*o + 19 = 4*z + 3. Suppose -z*u + 0*u = -24. Suppose -w + 4 + u = 0. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2275*v = -399*v + 41272 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*v - 5*x, -v + 32 = x + 37 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1260*a - 44214. What is z(-35)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 848\/57259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1300*g + 1229*g - 146473. Which is smaller: g or -2064?\nAnswer: -2064","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 43*i + 32. Calculate the least common multiple of q(-22) and 494.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8 - 4 - 23*p**4 + 13*p**4 wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 12*j**2 + 16*j**3 + 6*j**4 - 10*j**4 + 3*j = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*y = 15 - 4, 1 = -s + y. Suppose 0 = q - 134 - 235. Calculate the common denominator of 21\/10 and (4\/80)\/(s\/q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2 - l - 1. Let w(d) = 55*d**3 - 22*d**2 - 22*d - 22. Determine -22*g(p) + w(p).\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12875592 divided by -14648?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/6 + (-3)\/(-9). Suppose 23*y = 10*y + 26. Let l(w) = -w + 5. Let i be l(-5). Solve -y = -z*k - i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 7. Suppose -6 = -3*i, 3*k - i - w*i + 32 = 0. Let x = -5 - k. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 40*d - 17*d - 25*d - 11*d. Let g(v) = 2*v + 1 - 1. What is y(g(m))?\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -98. Let c be l\/6 - (-5 + 6). Factor 0 - 1\/6*n + c*n**2.\nAnswer: n*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2128983 to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**5\/240 - l**3\/6 - 9*l**2\/2 - 14. Let y(o) be the second derivative of i(o). Let y(h) = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0*z - 1\/10*z**5 + 4*z**2 - 1\/120*z**6 - 1\/3*z**3 + 0 + 0*z**4. Is a(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (6\/8)\/((-36)\/(-120)). Let g be (-3)\/(-5) + (-130)\/175. What is the closest to t in g, 2, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 0. Suppose -l + 6 + 3 = f. What is the remainder when 24 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 13*g - 5*g - 3*g. Let p(z) = -3*z**2. Determine p(r(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**4*n - 13580301*k*n**2 + 110631634*n**2 wrt k.\nAnswer: -8*k**3*n - 13580301*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v**2 + 6*v**2 + 6*v**2)*(v**2 + 3*v + 10 - 10).\nAnswer: -v**4 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -401660?\nAnswer: -401664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 200*k + 202*k + 9 = -p - 67, -1 = 4*k - 3*k + 4 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -155982.43212.\nAnswer: -155982.23212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - -2*sqrt(143)*-4)\/sqrt(11).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 16 = 3*d + 2*m, -4*m + 84 = 4*d. Suppose h - 3*g + d = 3*h, -4*g - 19 = -5*h. Which is the nearest to 2\/3? (a) 5 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971550000 rounded to the nearest 1000000?\nAnswer: 1972000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236 + 236. Sort v, 1, -1, -4, 3 in descending order.\nAnswer: 3, 1, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/9))**13 assuming v is positive.\nAnswer: v**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 29*k.\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65463.67 years?\nAnswer: 65.46367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -2, -30, -3.\nAnswer: -30, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.0170085, 5, 1, 6 in ascending order.\nAnswer: 0.0170085, 0.4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 91121710.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19517 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.1 - 50. Let c = 5.6 - g. Let n be (1\/14)\/(((-65)\/30)\/(-13)). What is the biggest value in n, c, 0, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2502*q + 7*q**2 + 1 - 2502*q in the form v*q + d*q**2 + x and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*r**2 - 4*r**3 + 135*r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6838*u - 6838*u + 7429*u**2 + (u**2 + 1 - 1)*(4 - 4 - 1).\nAnswer: 7428*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/495 - 596\/(-75)) + -5 + -3.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314669.\nAnswer: 419, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.1, -45 in increasing order.\nAnswer: -45, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -275122*d**4 - 2*d**3 - 17*d**2 + 13766947?\nAnswer: -1100488*d**3 - 6*d**2 - 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**3 + 3*u**2 + 4*u + 1. Let m be c(-1). Suppose 2*n + n + 3*a - 180 = 0, -115 = -2*n - a. Calculate the highest common divisor of n and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -185 - -186. Let g = -3 + -1. Let o = g - -2. Put o, y, 3 in ascending order.\nAnswer: o, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 24*c**3 + c**2 - 1. Give b(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23728451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6*g + 6 = 0. Suppose g = 2*r + 2. Find the third derivative of 0*w**4 - w**4 + 0*w**r + 3*w**2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -73. Suppose 2*h + 2*f = 5*f + 37, q = -5*h + 5*f + 80. Calculate the remainder when 43 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8370 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 2*f + 1. Let g be j(3). Let s = 23 + g. Let k be (33\/15 + -3)*-15. Calculate the highest common divisor of s and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69995*g*h**3 + 3*g - 32*h**3 - 2495175 wrt h.\nAnswer: 209985*g*h**2 - 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/200 and (-15 + 8270\/550)*85.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 smaller than -72867\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 + -142. Which is the second smallest value? (a) n (b) -0.07 (c) 0.5 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 20*a - 12. List the prime factors of c(10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3177*p**3 - 42*p**2 + 83*p - 2. What are the prime factors of j(2)?\nAnswer: 2, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 381 + -394. Let b(t) = t. Let o be b(2). Let r = o + -5. Sort u, r, -5.\nAnswer: u, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -29127272*r + 200. Let x be g(-5). Let s = x + -56436560. What is s rounded to the nearest one million?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -141*h**3 - h**2 - h - 1. Is 10 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 8423230*i**2 + 8868854665726*i + 8868846242498.\nAnswer: 2*(i + 1)*(i + 2105807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118 a factor of 119157488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 14) in base 3?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 37. Let v = 24 - a. Let d = 38 - v. Let q(y) = -2*y**2 - 1. Give q(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 538212 - 702?\nAnswer: 537410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/3 - 1284*z**3 + 2594*z**2 + 134960*z\/3 = 0.\nAnswer: -1928, -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -31.4. Which is the closest to 0.4? (a) v (b) 2\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 - 5*l**2 + 6. Let j(g) = -g**3 + g**2 - 1. Let y(r) = 11*j(r) + 2*v(r). Let s(i) = -56*i**3 + 48*i**2 + 48. What is -s(f) + 48*y(f)?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x + 1. Give p(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/2 - 55*i**3\/6 - 271*i**2 + 4*i. Determine x(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834302?\nAnswer: 2, 7, 23, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0*q**2 + 0*q**6 - 1\/14*q**7 + q - 1\/6*q**3 + 0*q**4 + 0 + 0*q**5. Find the second derivative of n(j) wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d0d + 7?\nAnswer: d14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1788963136 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88768 = 1695*p - 4469*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-2 - 3 + 1)*(2*w**2 - 7*w**2 + 2*w**2) to the form h + v*w + x*w**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 - 43.3\nAnswer: -43.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide ((-56)\/10)\/((-16)\/23440)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -11, -2\/7, 1, -0.7, -2\/5, -2\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 3. Let j be h(-9). Suppose 11 = -2*n - 3. Let w = n - -7. Solve w = 2*b - 6*o + o - j, 0 = b + o + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2208 + 6ed6?\nAnswer: 4ccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -5, -23, 5851.\nAnswer: -23, -5, 1, 7, 5851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 603149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00534 plus 2?\nAnswer: 2.00534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 4*j**2 + 3*j + 4. Let u be ((-24)\/10)\/(-1*10\/75). Suppose 0 = -8*f + 14 + u. Let i(h) = 5*h**3 + 9*h**2 + 7*h + 9. Give f*i(n) - 9*p(n).\nAnswer: 2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(1\/4)*(c**20*c)\/c*(c*c**17)**(-3\/2) assuming c is positive.\nAnswer: c**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 274*r - 2357. Give g(-10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 - 2025*z + 2020 = 0. Calculate z.\nAnswer: 1, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 70*h + 990 = 12*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24464*h**2 + 3031*h - 65627495?\nAnswer: 48928*h + 3031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let z(w) = 0 + 0 + 1 - w - 3*w**3 + 2*w**3 - 2*w**2. Let y be z(g). Let h(a) = a - 2. Calculate h(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 68*w**2 - 124*w - 60.\nAnswer: -4*(w + 1)**2*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheehhzhzzee. Give prob of picking 1 h and 1 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -48, -121, -254, -465, -772, -1193?\nAnswer: -1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daj when three letters picked without replacement from jaodaag?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 6 + 28 - 2*i + 16 - 10 to o*i + q and give q.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 12. Let p = 1.2367 - -3.7633. Is p != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*r + 3*u, -528*r + 6 = -526*r + u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usssuwwssuswwsssu. What is prob of sequence sus?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -49 - (92 + -123)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from maghkgakkmhgkvh?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*o**2 + 2*g**2*o - 71*g**2*u**2 - 6538*o**2*u**2 + 2*o**2*u + o**2 + 30680*u wrt u.\nAnswer: -142*g**2 - 13076*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*y = -2*j + 319, 53 = j - 4*y. Let i = 10 + -15. Let c = 18 + i. Calculate the highest common factor of j and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/7)*k)\/k**(-8)*((k*k**(1\/11))\/k)\/k*k*k**(-2))\/(k**(3\/5)*k**(-5)*k*k**(3\/5)*k*k\/(k\/(k*(k*k**5)\/k))) assuming k is positive.\nAnswer: k**(893\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 8687.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -3. Suppose -a - 9 = -5*h, -f + 13 = -3*h. Solve -5*i = -2 + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 1.21. Put 0.3, -3\/5, t in decreasing order.\nAnswer: t, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {h: 1, r: 11}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3541.\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5. Let h(o) = -13*o + 6. Calculate -3*h(b) - 4*n(b).\nAnswer: 39*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.09, -0.5 in descending order.\nAnswer: 0, -0.09, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 4 + sqrt(931)*1)**2.\nAnswer: -5970 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 36 = 2*l - 0*l, -5*d + 3*l + 173 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214322 (base 9) to base 7\nAnswer: 1041464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 divided by 5.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4337354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((48 - 10) + -3 + 19).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28454 + 0.41546. What is the fourth biggest value in 12, 2\/3, l, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + y**2)*(-45 + 5*y + 46 + 6*y) + (-1 + 1 - 1)*(y**3 - y**3 - 2*y**3).\nAnswer: 24*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/168318 and -133\/62340.\nAnswer: 1683180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297977*f - 105288 = -298961*f for f.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-64)\/32)\/(2*1). Let r(g) = g**2 + g. Let s(u) = 2*u**2 - 4*u. Determine q*r(v) + s(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280*q - 341*q + 203*q)*(0 + 0 - q).\nAnswer: -142*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + x + 3 = 0, 4*x = -0*x - 12. Suppose 2*p - 6 = -z. Solve -9 + 3 = -p*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13*s + 4. Let p(r) = -13*r + 5. Give -5*c(d) + 4*p(d).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/7)\/(12\/210*-5). Let g(k) = -2*k**2 - 11*k - 13. What is g(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -2.342.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12612 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -249602.3 rounded to the nearest one hundred?\nAnswer: -249600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684*c + 636*c + 790*c + 682*c - 2793*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130899\/22 + 5952. Calculate the common denominator of n and 85\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16172157 + -33062157. Round i to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 - 5*m - 4. Let w be n(5). Let f be 3\/(w\/((-16)\/4)). Suppose -f*b = -4*o + 69, 5*o + b - 128 = -37. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(2*f - 4 + 4) + (-f - 2*f + 5*f)*(-19 + 8 - 32) + (21 + 2 - 1)*(-6*f + 0*f + 4*f) to g*f + z and give g.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38 + 1*(-2 + 0). Let r = 108 + f. Suppose -l - 11 = -3*o - 44, 0 = -l - 4*o - 2. Calculate the greatest common divisor of r and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -17670 and -17702 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/30)\/((-28980)\/4600)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -4, -3, 77 in ascending order.\nAnswer: -7, -4, -3, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1807254, 3614506, 5421758, 7229010?\nAnswer: 9036262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 621199 and -75.\nAnswer: 621124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135.5 - -135.44. Let z = 17 + -83\/5. Which is the nearest to -1? (a) -1 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105804045?\nAnswer: 3, 5, 2351201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 853 (c) 2 (d) 1\/36 (e) -1.5 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -773 + 1228. Let k = 1131 + -821. Let n = i - k. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*s - 31, -4*t - 10 - 26 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*l = 3*l + 20, 3*l - 28 = 5*w. Let t = w + 7. What is the nearest to t in 0.5, 2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + -2. Let h = 1.2 - f. Let o = -0.01 + -0.39. What is the third smallest value in h, 0, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((1 - 12 - -13) + -5)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from nnnnwwnnnnnwnnnwnnnn?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 7. Let m be c(4). Suppose m*f - 14833 - 15344 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.8 - 23. What is the second smallest value in 1, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/4)\/(18\/12). Let v(t) = 315*t**3 + 2*t**2 - 9*t + 1. Is v(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 245989 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9662 - -15765. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 8 - 12. Suppose 0 = -7*p + m*p + 87. Suppose -3*k = 4*y - p, -4*y + 24 = k + 3*k. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 2*l + l**2 - 4 - 9*l. Suppose z = 7 + 5. Is 14 a factor of t(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6, -4*v = 5*q - 2968 - 4244. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 1, x: 12, o: 3, i: 1, a: 1}. What is prob of picking 1 g and 1 x?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let k(d) = 6*d**2 + 3*d. Suppose 0 = 2*l - m + 5 + 1, -l = 5*m + 3. Let a(f) = 11*f**2 + 5*f. Let y(q) = l*a(q) + 5*k(q). Determine y(b(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by -198?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 7. Let w = 0 - -2. Let x be ((-2)\/w)\/(1\/7). Let v be u(x). Are 2 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2549*g - 674*g - 4065*g - 6210*g - 1541*g.\nAnswer: -9941*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 6, -3*b - 2*y - 24 = 0. Let n be (-106)\/(-4) - b\/(-20). Let f = n + 0. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 6*x**3 + 2*x**2 - 6*x - 4.\nAnswer: 2*(x - 1)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 3 = 11*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 3*h - h)*(-4 + 4 - 3)*(-7 + 10 - 28)*(-17*h + 5*h + 11*h - 149) in the form b + t*h**2 + l*h and give t.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 18136727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 45079120035.\nAnswer: -45079120034.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 3710354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244\/16 + -30 - -15.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1911911 - 244726742\/2040009037. Let z = u - 6\/97. What is the second biggest value in z, -30, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154680*y - 154680*y + 22*y**3 - 4*y**2 + (-8*y - y + 10*y)*(-2*y**2 + 1 - 1).\nAnswer: 20*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3.1. Let o = -1 + -1. Let p = o - -2.5. What is the third biggest value in 0.3, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 7*b - 28*b + 9*b + 1392.\nAnswer: -4*b + 1392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661262047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 745 - 729. What is the highest common divisor of 108 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.83533t to micrograms.\nAnswer: 41835330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 101 (c) -7 (d) 116 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/3 + 25*v**3\/6 + 57*v**2\/2 - 23*v. What is the units digit of z(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 524831250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17376)\/(-1824) - 420\/798?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338158 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefififyeie. Give prob of sequence yf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Let y be ((-27)\/6)\/((153\/216)\/(-17)). What is the units digit of (h\/6)\/(8\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -7997 (c) 31\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000973968 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 5*g**2 - 12*g - 28. Let x be w(-4). Solve -x = 4*z - 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:36 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 16684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 16. Let w(b) = 198*b**2 + 3*b + 1699. Give v(w(n)).\nAnswer: 792*n**2 + 12*n + 6780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5400, 22189, 50170, 89343?\nAnswer: 139708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/2 - 3*y**3 + 4*y**2 = 0?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139, 281, 423?\n\"Answer: 142*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 1\/(-9)*-3. Let s = -71 - -70. Suppose -34*f = -35*f + 3*j + 9, 1 = 3*f + 4*j. What is the closest to r in 5, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352300, 352298, 352294, 352288?\nAnswer: 352280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i - 6. Let r = 269 + -279. Let t(z) = 36*z - 20. Let q(d) = r*o(d) + 3*t(d). Let p(g) = 3*g**2 + 9. Give q(p(b)).\nAnswer: -6*b**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 55126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - 19*c + 1. Suppose -5*x + x = 68. Let f(y) = 14*y**2 - 56*y + 2. Let t(z) = x*r(z) + 6*f(z). What is the tens digit of t(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 2*y**5 - 3*y**4 + 3*y**2 - 3*y**2 - 2*y**5 + (0*y + 0*y - 3*y)*(y**2 - y**2 - y**4).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6805111 + -52?\nAnswer: -6805163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, l: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 8 = -a + 3*a, 3*a + 2*d + 9 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971654 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 5, 0, -8, -2 in descending order.\nAnswer: 5, 0, -2, -8, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77664596?\nAnswer: 2, 907, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*p**3 + 7*p**3 + 36*p**3 - 1780*p - 159*p**3.\nAnswer: -53*p**3 - 1780*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28385.39nm in kilometers?\nAnswer: 0.00000002838539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102122771711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*d = -5*d - 8, -4*d = 2*g - 14. Suppose -4*i = -5*i + 6. Suppose 0 = g*x - i*x + 27. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66064 divided by -16516.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 2:40 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16253*p**3 + 5581 wrt p?\nAnswer: -48759*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -274, -275, -272, -265, -254?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3497, 5226, 13949, 22672, 31395, 40118?\n\"Answer: 8723*l - 12220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*-4 - (sqrt(171) - (-1 + sqrt(171))*3))**2.\nAnswer: -180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2 + -5 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - j + 2*j + 17234, -4298 = -i - 5*j. What are the prime factors of i?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 8. Let p be r(4). Suppose u - 1 = p, 0 = 4*h - 0*u - 3*u - 21. Suppose 0 = -h*m + 2388 + 10938. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + (8 - (-7 - -16)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 5*z - 10. Let x be a(7). Let i(b) = 4*b - 13. Let c be i(4). Sort x, c, -3\/2 in decreasing order.\nAnswer: x, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtttttqqqt. Give prob of sequence qttq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205218259?\nAnswer: 19, 23, 373, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 644611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 260 + -540. Let y be k\/16*8\/(-14). Calculate the greatest common factor of 15 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 23*y**3 - y**2 - 2*y. Let f be s(2). Let c be (-66)\/4*36\/(-27). Calculate the greatest common divisor of f and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 5, -16\/31, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294977\/216 or 1366?\nAnswer: 294977\/216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**2 + 100*w + 12. Let b be r(-11). Let a be (-2*b)\/4 + (-5850)\/(-100). What is the highest common factor of 87 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 8) to base 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -1. Let u(l) = -l**2 - 5*l + 2. Let i be u(-5). Suppose -3*s = i*s. Are s and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 20. Let a be t(-23). Suppose 14\/9*g**4 - 2\/9*g + 10\/9*g**2 + 0 - 4\/9*g**5 - 2*g**a = 0. Calculate g.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 7a3467?\nAnswer: -7a3466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64554*m**2 + 24599*m wrt m?\nAnswer: -129108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((126\/35)\/3)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191900957?\nAnswer: 191900957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4639066528 to the power of 1\/3, to the nearest integer?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let c(d) = d**3 - d**2 - 4*d + 3. Suppose 0 = z - 2*r - 16, 114 = 4*z + 5*r - 3*r. What is the remainder when z is divided by c(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from suzrsz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**3 + 8*v. Let u(d) be the first derivative of 7*d**5\/20 - 5*d**3\/6 - 3*d - 3. Let n(p) be the first derivative of u(p). Give 5*l(c) + 8*n(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44411 (base 5) to base 4.\nAnswer: -300202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 328 or 327?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223720 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 766184842 and 4066?\nAnswer: 4066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 24 = 5*h. Is h less than or equal to 7\/114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -665, -1333, -2001?\n\"Answer: -668*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 6*m. What is p(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 3*u**2 - u + 3. Let p(i) = 7*i**3 + 6*i**2 + 3*i - 6. Let x(q) = -q + 9. Let a be x(4). Let l(c) = a*f(c) + 2*p(c). Solve l(g) = 0 for g.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/239, 20\/11, 0.3077?\nAnswer: 0.3077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 5*c**2 - 5*c + 1. Let g(q) = -q**2 - q + 6. Let n be -1 + (1 + 1)\/2. Let o be g(n). Does 3 divide a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in 1.9, 8402, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 132499, -4\/5, 2, 7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14304*t**3 - 678*t**2 + 1358*t**2 + 28603*t**3 - 680*t**2 - 14298*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 13 - 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(4 - (-93303)\/(-23325)). Suppose 4*y + n = -y. What is y rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**2 - 6*l + 5. Let v(p) = 20*p**2 + 17*p - 14. Suppose 5*i = -4*w + 29, -5*i = -5*w - 6*i + 31. Determine w*v(z) + 17*t(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -411.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10749447?\nAnswer: 3, 1194383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4*((-30)\/140)\/(24\/(-28)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4851 and 8267721?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 9*m**4 + 960*m**3 + 4323*m**2 + 3960*m - 1836 = 0.\nAnswer: -102, -3, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (486\/405 + 8\/10)\/((-4)\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/641956 and -99\/20?\nAnswer: 3209780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 936 and 115752?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, -78 in increasing order.\nAnswer: -78, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 5)\/((30\/1105)\/2). What is the greatest common factor of c and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*-10*(-20)\/200.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(3\/2)\/b))\/b)\/b**13)**(-10\/11)*b**(-2)*b*b**1*b**(-1\/10)*b*b**(-1\/2)*b assuming b is positive.\nAnswer: b**(802\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/10)\/(1\/(-5)). Suppose 3*b + a = -u, -4*u + 2*b + 0 = -6. Which is smaller: u or 1\/12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 9) to base 4\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12111 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/u*u**0 assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1374 + 6*q - 1371 + 5*q**2 + 2753. Calculate x(-4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 4, 20, 46?\n\"Answer: 5*n**2 - 9*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**6\/15 - j**5\/30 - 7*j**4\/24 + 8*j**3 - 13. Let f(m) be the third derivative of t(m). Is f(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 24448*i**3 + 146634*i**2 - 219924*i.\nAnswer: 2*i*(i - 12218)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 446380 and 16739250?\nAnswer: 33478500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)\/(o**0\/o))**(-2\/23)*(o**(-1))**(-4)*(o**0)**(2\/9) assuming o is positive.\nAnswer: o**(986\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - j**2 - 2 + 0 - 2*j**2 + 0 + (3 - 3 - 2*j)*(-3*j - 2*j + 3*j) + j - j + 2*j**2 + 49 - 32 - 4*j**2 - 27 as p*j + c*j**2 + q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0+2588245.8\nAnswer: 2588245.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125171 + -39147. List the prime factors of y.\nAnswer: 2, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/14)\/((-2772)\/(-54978))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3588, 7220, 10852, 14484, 18116?\n\"Answer: 3632*b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 50 + -32 + -47?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(75) + sqrt(75) + 5)**2 + (sqrt(135)*1 - sqrt(135))\/(sqrt(80)*-1).\nAnswer: 200*sqrt(3) + 1228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1687062 (base 9) to base 3.\nAnswer: 1202221002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 3, z: 5}. Give prob of sequence ayzz.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 625*u - 628*u + 24, -4*u - 3 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 129329.\nAnswer: 43\/129329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.4 + -8. Let k be (-2)\/(-1 + (-1)\/(-2)). Suppose 2*z = 3*o + 13, -k*z + 0*z + 4*o + 16 = 0. Sort z, -4, d in ascending order.\nAnswer: -4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = -0*b, -f = -3*b - 36. What is the least common multiple of 27 and f?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 942442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 73. Calculate the highest common divisor of i and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z**2 + 20*z - 9. What is b(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -72*s**2 - 2*s + 12. Let z(q) = 75*q**2 + q - 16. Calculate -4*h(r) - 3*z(r).\nAnswer: 63*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-13))\/m**(-7\/2))**(-2\/51))**(-2\/7) assuming m is positive.\nAnswer: m**(10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 18*u. Let t(g) = -42*g. Determine r(t(p)).\nAnswer: -756*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21950 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 1. Let s be j(-2). Let t be (2\/7)\/(-6*s\/(-588)). Solve 0 = -t*a - 4*i, 2*i + 2 + 1 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 307.117 - 307. Let k = i + -0.1425. Round k to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*c**2 - 6*c**2 + 9*c**6 - 4*c**2 wrt c?\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(2 + sqrt(468) + sqrt(468) - sqrt(468)) - (-5 + sqrt(468)*-1 - ((-5 + 1 + sqrt(468))**2 + sqrt(468))).\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:26 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2 - 17*m + 268. Let f(k) = 8*k**2 - 10*k + 270. Let x(v) = 3*c(v) - 4*f(v). Determine a so that x(a) = 0.\nAnswer: -12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 734 + -434. Suppose 3*q - c = -2*x, -188 = -3*q + x + 112. Does 5 divide 1\/(405\/q + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2112 and 102?\nAnswer: 35904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 25 (b) 0.11 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 4*u - 4*u)*(1 + 2*u - 4*u + 0*u).\nAnswer: 4*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*x + 1, y + y = 3*x + 5. What is the biggest value in 4, y, -1, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000452494 rounded to 5 dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3472617 = o, -5*k - 1613*o = -1616*o - 3472621. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:06 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z - 44. What is the remainder when z is divided by 10 + (20520\/75)\/18 - (-6)\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 116*q - 100. What is the units digit of z(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74763 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*c)*((3*c**2 + 3*c**2 - 2*c**2)*(-1 + 3 - 3) + 7*c**2 - 7*c**2 + 13*c**2 - 2*c + c**2 + c**2 + 3*c).\nAnswer: 33*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 - 13*u**2 + 35*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {h: 10, r: 2, u: 3, f: 2, j: 1, w: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -610*k**2 - 6*k. Let c(w) = 2*w**2 + 2*w. Give -6*c(h) - 2*j(h).\nAnswer: 1208*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231 - -1355?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - l + 27 = 0, 0*l = 2*n + 2*l - 12. Suppose -71 = 4*h + 5*r, -2*r = -n*h + 4*h - 36. Calculate the remainder when 42 is divided by 2\/h + 192\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.6. Suppose -8*c = 18*c + 26. Sort 1\/4, c, 0.1, m in ascending order.\nAnswer: c, m, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*y - x, -y + 4 = -4*x + 6*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75846, 75857, 75874, 75897, 75926, 75961?\nAnswer: 76002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 496 + -496. Solve v = -u - s - 5, u + 3*s + 15 = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54004 is divided by 1544.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 65*x + 69. Let c be h(-1). Find the third derivative of -r**5 + 899*r**4 - 899*r**c + 11*r + r**3 - 11*r - 231*r**2 wrt r.\nAnswer: -60*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*114\/8*(-944)\/(-708)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmqqmmm.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -29. Suppose 0 = -3*j + j - 2*f - 6, 4*j - 20 = 4*f. Solve c - j = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3577 + 3406 + (76 - -5)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + (sqrt(104) - (-2*sqrt(104) - sqrt(104))))*-3)\/(sqrt(8)*-2*-5))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -124*m + 27. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3952 + 3969. Solve -2 = 16*n - p*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -333 - -361. What is the remainder when 53 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-7)*-1 + (-32)\/56. Sort 5\/2, 22, -0.4, s.\nAnswer: s, -0.4, 5\/2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1\/5, -13, 0, -2, 88.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**3 - 11*r**3 - 14*r**3 + 58*r**3 - 19*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/(440\/(-561)))\/(6\/784).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 0.04552266.\nAnswer: 11.95447734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 40\/299 (c) -15 (d) 0.2 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -18*u**4 - 6*u**2 + 9. Let h(r) = 53*r**4 + 17*r**2 - 26. Let p(w) = 6*h(w) + 17*s(w). What is the first derivative of p(o) wrt o?\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 4)*(-10)\/(-6). Suppose z + 328 = f*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -3*n**5\/25 + n**3 - 12*n\/5 - 1. Determine c, given that z(c) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = 2. Suppose 3*u + 3 = a*x, -4*x = -x + 4*u + 29. What is the units digit of 6 + x - 1 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4703 divide 1157089805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3317 * -4\nAnswer: 13268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 1569 + 238 = 0. What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:29 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*c - 89*c = 83*c - 60. Calculate the highest common factor of 48 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = 4*i, 5*x + 3*i = 4722. List the prime factors of x.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*s + 2025 - 2566 = 9523 for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -15\/7, -1, -3, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2052*s - 15557 wrt s.\nAnswer: -2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 214.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306*w**4 - 33562*w**3 + 15340507*w**2?\nAnswer: 7344*w - 201372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(375\/12)*(-16)\/(448\/210)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555000 rounded to the nearest 10000?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -150325804.6 rounded to the nearest one million?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/((-13)\/39). Suppose -35 = -8*t - g. Solve -3*u = -t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 13\/(-3))*6. Let c be (q\/6)\/(2\/1380). What is c rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29795137?\nAnswer: 29795137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98610354 or 98610353?\nAnswer: 98610354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2)*l)**(3\/2)\/(l**0\/l)**(-20\/7) assuming l is positive.\nAnswer: l**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n + 31*n + 26*n + 31*n - 147*n.\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f - -a00c1?\nAnswer: a0100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -154410 (base 9) in base 16?\nAnswer: -1737f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 14*l + 63*l - 149 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*v = -170, 4*x + 13 = -v + 373. What is the remainder when x is divided by 23*(-1)\/(1*-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 183*v + 314*v - 163*v)*((-3*v**3 - 5 + 5)*(3*v - v + 0*v) + 6*v**4 + 0*v**4 - v**4).\nAnswer: 32*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 1152904*o**2 + 83074227076*o.\nAnswer: 4*o*(o + 144113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -41*s - 168. Is c(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 172*y + 12. Let o(t) = -t. Let z(n) = f(n) + 8*o(n). Let a be z(-8). Round a to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/2)\/(-5))\/((-17)\/((-17)\/(-2)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88951 - -88950.06014. Let o = -76 + 75.06. Let w = t - o. Round w to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3 - 26804852*j**2 + 896660753 with respect to j.\nAnswer: 3*j**2 - 53609704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0345 - 5.0345. What is the nearest to 5 in 4\/7, 0.11, s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 3:54 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/3)*r**(-7)*r\/((r**(-7)\/r)\/r)*r**(2\/7) assuming r is positive.\nAnswer: r**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 1, o: 4, h: 3}. Give prob of picking 1 h and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (235\/7 + -34)*6\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 18 (b) 29 (c) -0.3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (2*sqrt(242))**2)*4 + (0 + 1*sqrt(2) - sqrt(8)\/sqrt(4)*4).\nAnswer: sqrt(2) + 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.584327m in centimeters?\nAnswer: 458.4327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11968265*f - 74*f**5 - 660722*f**3 + 357136 - f**5 + 1865180 + 12885*f**4 - 80575*f**3 + 14476347*f**2 + 739721*f.\nAnswer: -3*(f - 57)**3*(5*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5206 and 139\/3078.\nAnswer: 421686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i - 4*b + 1, -5*b = 4*i - 35. Suppose -i*p = 3*s - 7*s + 206, -114 = -2*s - 3*p. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 5*g**4\/24 - 3*g**2 + g. Let z(r) be the second derivative of 0 - 1\/3*r**3 + 0*r**2 - 3*r. Determine z(h(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-35)\/1225*20*((-12)\/8 + -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*g + 13, 65 = -g + 6*g - 4*y. Suppose -g*f = 36 + 63. Let d = 24 + f. Calculate the highest common factor of 65 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21421422 - 241?\nAnswer: 21421131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - s + 4*s + 61, 3285*r - 3282*r = -3*s + 99 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-19) + (-325)\/(-741). Let y(i) = -i + 8. Let a be (-62)\/(-10) - (-1)\/(-5). Let u be y(a). Is o at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144864 and 576.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (20 - ((-68 - -76) + -4 + -1))) + 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11106 (base 9) to base 16\nAnswer: -1cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -2*v + 8, -4*u - 11383*v = -11378*v - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (49363811\/3255)\/(-109) + (-4)\/(-30)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 6 + 0*z + 5*z + 9 - 13*z.\nAnswer: -11*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-109)\/14*1*(-9)\/18 + (-462 - -458)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14883 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*y - 12. Factor 5*n**2 - n - 5 + y - 1 - 2*n**3.\nAnswer: -(n - 2)*(n - 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.171853 rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 - 1 + 6*o**4 - 36*o**2 - 6*o**4 + 33*o**2 + 15*o**3 to the form q + i*o + z*o**3 + h*o**2 + n*o**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2472*t**3 - 2503*t.\nAnswer: -14832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 52695a (base 14) to base 7\nAnswer: 32444243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 14 = -5*a, 3*p + a + 17 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (9 + -10 + 5)) + -1 + 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111*p**3 + 13659*p**2 - 13026*p - 744.\nAnswer: 3*(p - 1)*(p + 124)*(37*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - c + 4*p = 12, 5*p = 4*c + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -25. Calculate the highest common divisor of 25 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29766 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 307, 3, -1516 in increasing order.\nAnswer: -1516, 3, 4, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2) + -1 + -3. Let q be 12*((-14)\/z + -4). Suppose -7*s + 9*s = q. Let t(k) = k**2 - 10*k + 6. Calculate t(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*b + 2*y + 74, -4*y - 46 = -b. Let i(h) = h**2 + 2*h + 11. Let w be i(-3). Calculate the highest common divisor of w and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 0*u + (u + u + 0*u)*(2 - 5 + 1) + 0 + u + 0)*(-7 + 3 + 2 - 4*u**2).\nAnswer: 20*u**3 + 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121454747*f*n - 1146106*n - 5 wrt f.\nAnswer: 121454747*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 7*n + 6*n - 4*n - 4*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:23 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from jjtjjjvtjjnjbd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18155\/4 - -4516. Let l = u + 23. What is the smallest value in l, -6, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.707 + -8.36. Let z = 0.34 - f. Let c = 19.993 - z. Is c bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(5\/6)*w**(-6)*w**0 assuming w is positive.\nAnswer: w**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 327?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - -0.06. Suppose 0 = 2*h + 10, g = -2*g - 3*h + 30. What is the biggest value in t, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 25. Suppose -i*z - 20 = -56. Suppose -3*d = -3, 24 = 5*f + 2*d - z. Solve -3*a - a = f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.2169 rounded to zero dps?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -27. Let j = -11278 + 5131492\/455. Which is bigger: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46240\/14933 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83\/2 + 41. Which is smaller: -36 or a?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**(-2\/21)\/((z**(2\/13)\/z)\/z**1))\/((z**(-1\/6)*z*z\/(z\/(z\/(z\/z**(-5)))))\/(z**0)**(-1\/22)) assuming z is positive.\nAnswer: z**(545\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.2. Let g = 83.8 + -83.5. Which is the third biggest value? (a) g (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*w + 4*w. Suppose c - 3*c = 2*u - w, u = 3*c - 37. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a + 7. Let w be q(6). Calculate the highest common divisor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*73.\nAnswer: 51.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7351 - 3673 + 106*j**2 - 3677)*(4*j + j - j).\nAnswer: 424*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.2. Let z = r + 0.7. Let a = -1883\/13 + 145. What is the third biggest value in z, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-44)\/24) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-24)*320\/32)\/((-6)\/240)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/9)\/((-1)\/3). Let u be -1 + (-4)\/(16\/h). Suppose -90 - 18 = -u*s. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 244480 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 + 5.5. Which is the biggest value? (a) -4 (b) -3 (c) -0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1169*i*l*t**3*u**2 - 2*i*t**2*u**2 - 439*i*u - 5*l*t**3*u - 2*l*t**2*u**2 + l*t**2*u wrt t.\nAnswer: -7014*i*l*u**2 - 30*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m, 5*t - 6*m + 11*m - 35 = 0. Suppose 0 = -2*j - t*j - 78. Let z(x) = 3*x + 2 - 5 - 4 - 4*x. Give z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 - 3*t. Calculate k(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155295 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*o - q - 1422, 3*o - 4*q = 1423. Suppose -26*r + 257 - 153 = 0. Suppose -307 = -r*m + o. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i - w + 21, 2*i - 29*w + 25*w - 24 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + 6 - 15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2582 and 337038788?\nAnswer: 2582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 18*s - 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v - 1000*v**2 + 6*v. Suppose 6 = -4*l + 2*b, 0*l + 4*b = 5*l + 15. Let a be x(l). Round a to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*r - 252 = -564*r, 4*x + 121 = -5*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 7*a**2 - 426. Let f(o) = 39*o. Calculate s(f(y)).\nAnswer: 546*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:54 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7391 - 7387. What is the fourth smallest value in 5, 0.08, k, -0.5, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (162\/45)\/((-4)\/(-10)). Suppose c + v = 5*o, -1 = -2*c + c. Solve 5*x + 10 = -3*h, -o*x - h + 27 = -6*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 73.7. Let b = q - -3. Let f = 0.0006 - 0.0206. What is the nearest to -0.1 in -0.5, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -24, -21, -4, 33, 96?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = -10 + 66. Suppose 3 = -a - y + 6, -2*y - g = -3*a. Solve a*c - 2 = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -2221?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -251, 48, 2, -4, -2 in increasing order.\nAnswer: -251, -4, -2, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6697258 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 1 + (3 - 12) + 12 + 3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -5*x - 1\/70*x**5 + 3\/7*x**3 + 5\/7*x**2 + 2 + 1\/14*x**4. Let y(j) = 0. Calculate j.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34929128303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 3787.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (59 - 23) + 23?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 6*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15580000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7)*z\/z**2)\/(z**(-4\/5)*z*z**(-1\/3)) assuming z is positive.\nAnswer: z**(-136\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.06. Let q = -3\/8 - 1\/8. Is q <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = -3*m. Find the common denominator of m\/(-4) - 237\/(-20) and (82\/(-40))\/((-5)\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2*(-1)\/126). Does 11 divide 14\/x - (-196)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 13*h**3\/3 - h**2\/2 - h - 76. Give i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*v + 12807 = -1461 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6239 or 6242?\nAnswer: 6239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2221?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 + 24*g - 34*g - 38*g in the form j + p*g and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h + 142. Let r be x(-7). Let 5 - 111*z - 185*z**2 - 50*z**r + 30*z - 149*z = 0. Calculate z.\nAnswer: -1, 1\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358337\/1531647 - -1\/26871. Calculate the common denominator of 119\/24 and o.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450.1 - -449.6. Put -2, f, 0.6, 33 in decreasing order.\nAnswer: 33, 0.6, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29295 and 56700?\nAnswer: 1757700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 92 = -25*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 30 = 2*y, y + 5*x = -3*y - 24. Let u be (-2)\/y - 294\/(-77). Let k be (5\/15)\/(1\/27). Solve g + k = u*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636 divided by -6.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 23*o + 24. Let u(l) = -l**2 - 11*l + 12. Let d(x) = 4*f(x) - 9*u(x). What is the units digit of d(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*t - 60, 2*t = 2*q + 2*q - 94. Let u(y) = 128 - 9*y**3 + y + 8*y**3 - y**2 + y**2. Calculate the least common multiple of u(0) and q.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 10, 11, 12, 13?\n\"Answer: u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -0.2 (c) 3\/44 (d) -0.04 (e) 0.161 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -86.6. Sort 14, n, -2\/3, 0.3 in ascending order.\nAnswer: -2\/3, n, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9275941*m**3 - 129898*m**2 + 2*m - 6 wrt m?\nAnswer: -55655646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84409, -337736, -759977, -1351132, -2111201?\nAnswer: -3040184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + o - 2. Let k be v(2). Suppose 0 = d + 5*y + 13, 3*d = -y + 23 + k. Is 14 a factor of (-1)\/4 + 375\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 6, 5*w + 11 = -3*f + 2. Let g = 1 - 2. Let z be 2 - -1*(-44)\/24. Which is the nearest to f? (a) g (b) z (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -782*q**3 - 161*q**2 - 161. Let x(b) = 29*b**3 + 6*b**2 + 6. Determine -6*k(z) - 161*x(z).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 6.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 168*a**3 + 4*a**2 - 5*a - 4. Let g be x(4). Is -2*(g\/(-16) - 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Suppose a + 5*d = 35, a + 2*a + 5*d - 55 = 0. Let g(v) = -9*v**2 - 10*v + a*v. Give g(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 148?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -855*m**2. Let i(t) = t**2. Calculate i(d(r)).\nAnswer: 731025*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 4. Determine d(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 36. Suppose -i*p - 130 = -6*p. Let j = p - -30. Solve j*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 1, k: 2}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.75 - -0.55. Put d, 0.3, 2, -1 in decreasing order.\nAnswer: 2, 0.3, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/77 and -87\/100364.\nAnswer: 702548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9399*w + 7293610. What is i(776)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**2. Let k(d) be the third derivative of d**5\/15 + 15*d**2. What is -7*k(g) + 3*t(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513502 divided by -1256751?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 + 886*m**2 + 175*m + 77435. What is p(-443)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-50))\/((-14)\/40)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 4375752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 33*x + 12 = 0. Let z(w) be the first derivative of 3 - w**2 + 0*w**x + 0*w - 3\/4*w**4. Find the second derivative of z(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 27. Let p be (t - -3) + 153\/3. Suppose -3*c = -4*u - 85, -c = c + u - p. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 208936?\nAnswer: 208941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*r + 21. Let f(b) = b**2 + 3*b + 1. Let k be f(r). Suppose -9 = -3*x + 5*l, -2*x + k*x = -3*l + 9. Solve h - 5 = x*v + 4, 11 = -2*v - h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 13 + (26 + -9 - 44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)**(-5)*(k*k\/(k**(4\/5)\/k*k)*k)\/k**(6\/13))**(-2\/13) assuming k is positive.\nAnswer: k**(2374\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4))\/(2\/8*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((144\/130)\/12)\/(-1 - 16\/(-10))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0254408 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -107*r + 103. Let y be m(1). Sort -29, y, 2, -3.\nAnswer: -29, y, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 9\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 875*z**3 - 1733*z**3 + 3*z - z**2 + 858*z**3 + z**4 to r*z + g*z**4 + o*z**2 + v*z**3 + w and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4733ac (base 14) to base 3\nAnswer: -11120102012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.82 - -0.18. Which is the second biggest value? (a) q (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140755291.\nAnswer: 17, 317, 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 53*s**5\/5 - s**3\/3 - 818*s**2 - s - 240. Differentiate y(x) with respect to x.\nAnswer: 636*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) -1 (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4290 = -279*f - 5964 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*j**3 + 119*j**3 + 82*j**3)*(j + 2*j - 2*j).\nAnswer: 162*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 9*n**2 + 18*n + 16. Let f be w(9). Let r = f - 53. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyn when three letters picked without replacement from yyoqyooyoynvohh.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 + 3*k**2 - 3*k - 1. Let q = 10 - 8. Let y(p) = -2*p**3 + 4*p - 4*p**3 - 6*p**q + 3*p**2 - p. Let r(w) = -3*j(w) - 2*y(w). Factor r(n).\nAnswer: -3*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -11 + 21 + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187611600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:39 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {u: 2, i: 5, l: 7}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(((-7)\/(-3))\/1))\/(4080\/(-1785))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -11 + 39 + -34 - -76323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 868947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 7*k**6\/10 - 9*k**5\/20 + k**4\/6 + 954*k**3 + 4159*k. Find the second derivative of d(b) wrt b.\nAnswer: 252*b**2 - 54*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 19386.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58398*o**5 + 10*o**4 + 16677086*o**2 wrt o.\nAnswer: -3503880*o**2 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3750, 7503, 11258, 15015, 18774?\nAnswer: 22535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 758377.956 rounded to the nearest 1000?\nAnswer: 758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345.999999813 - 346. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 504*c - 24. Suppose -42 = -2*g - 5*g. Let h be q(g). Let s = 5579 - h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 3 (c) -1\/7 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1376*b**3*c**2 + 1288*c**2 wrt b?\nAnswer: 4128*b**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + 14. Let r(q) = -3*q - 13. Let k be 1 + 3 + 0 + -7. Let s(x) = k*a(x) - 2*r(x). Let b(v) = v. Give s(b(o)).\nAnswer: -3*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -783, -1556, -2327, -3096, -3863, -4628, -5391?\n\"Answer: o**2 - 776*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1965, 3937, 5919, 7911, 9913, 11925?\nAnswer: 13947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/(-92 - -45))\/((-4)\/(-162)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -0.3, -3, -149 in ascending order.\nAnswer: -149, -5, -3, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1136*d - 24156. Give r(-21).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 8 - 8. Which is the smallest value? (a) -3 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h - 0*h. Let c be 3\/h*(-1 + 5). Let j be 3*(-2)\/c*-1. What is the nearest to 2\/3 in j, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*s - l, 0*l = -2*l - 6. Let x(w) = -2*w**2 + 4*w + 4. Let z be x(4). Calculate the remainder when 1\/(-1 - z\/11) is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2385 and 56\/39.\nAnswer: 31005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 379 + -3869\/10. What is the common denominator of 17\/32 and w?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21795, -21781, -21765, -21747, -21727, -21705, -21681?\nAnswer: -21655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 1355*w - 34563. Determine b(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*s = -807*s + 322*s + 2265 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20981 is divided by 76?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57080717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304 - 32030323?\nAnswer: -32031132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/190*((-10)\/(-16))\/((-7596)\/6752).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*y**3 + 169*y**2 + 58*y + 8?\nAnswer: -42*y + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133960 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51845877.\nAnswer: 3, 311, 18523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5530312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w + 26 = 0. Let o = w + 8. Sort 0, -3, o in decreasing order.\nAnswer: 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-1)\/(1 - 2). Let h(j) = -180 - j + 181 - 2*j. Let d be h(g). Sort 5, -4, d in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 930 or 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + 7 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*u - 79 + 74*u + 96*u + 83*u + 4*u**3 + 78*u.\nAnswer: 4*u**3 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -24) + -25 + 10 - -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1913.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 322*o + 552. Let v(f) = 3*f + 6. Let i(z) = -l(z) + 92*v(z). Let g(w) = 6*w - 4. What is i(g(u))?\nAnswer: -276*u + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 46. Calculate the remainder when 14 is divided by k(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3537.647l in millilitres?\nAnswer: 3537647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2139100 to the nearest 10000.\nAnswer: 2140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6731 to 2 dps.\nAnswer: 3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10. Suppose l*b + 14 = 2*b. Solve -2 + b = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -26 + 6. Suppose -5*j - 11 = -4*w, -s*j - 1 - 3 = -2*w. Suppose 0 = 4*n + 2*d - 5*d - 11, -w*n + 9 = -d. Solve 2*m + n*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -2\/31, -1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1394, 3, 1\/5, -6, 0, 0.5 in ascending order.\nAnswer: -1394, -6, 0, 1\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*z = 2*d - 29, 0 = -2*d - 2*z - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.18742369 - -0.02\nAnswer: 0.20742369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2 + 5066*x - 2023784 = 0.\nAnswer: 497, 2036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/7 and 2\/(-20)*(-185)\/(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p + 216 = 0. Let m = 116 + p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkffjjjfjjiiffff. Give prob of sequence fgff.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1730*z**2 + z - 10. Let g be f(10). What is g rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 + 16*p - 1. Let a be u(-5). Let x(v) = -56*v**2 - 13*v + 8. Let q be x(a). What is q rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, r: 4, u: 2, n: 1}. Give prob of picking 1 u and 1 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, 2, 0.2, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 564, 1020, 1416, 1764, 2076, 2364, 2640, 2916?\n\"Answer: 2*y**3 - 42*y**2 + 568*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1465452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bri when three letters picked without replacement from {b: 2, i: 9, u: 3, r: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 94554?\nAnswer: 1\/94554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -1426, -2160, -2902, -3652?\nAnswer: -4410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12177 + -8605. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -187. Let s = -10 + 1. Calculate the remainder when (-2)\/s - (-1683)\/k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0191887 to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/6)\/n**(1\/6))**(-49) assuming n is positive.\nAnswer: n**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.89537 rounded to 2 dps?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 9. Suppose 21 = 4*q + 4*n + n, 4*n - 4 = 0. What is the lowest common multiple of b and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/88 - 2\/8. Let k = 195 + -193.97. Let o = -0.03 + k. What is the smallest value in -3, o, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261436508 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235639.5 months to centuries.\nAnswer: 196.36625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.129 and 3.21?\nAnswer: 0.41409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*a**2 - 8*a + 5*a + 14*a**2 as v + r*a**2 + i*a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 + 6*k - 7. Suppose -5*j - 3*l = 16, -1 = 3*j - l + 3. Let z = -10 - -11. Let q be z\/(39\/21 + j). Calculate w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1443931, 4, 6, 15 in decreasing order.\nAnswer: 1443931, 15, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1580, 1\/4?\nAnswer: 1580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkkn when four letters picked without replacement from {x: 2, h: 2, k: 2, q: 4, s: 1, n: 4}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -6, -1\/7, -11701, 0.2, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 878547 - 878547. Determine c, given that -92\/7*c**4 + 6\/7*c**5 + 480\/7*c**3 + 250\/7*c - 900\/7*c**2 + d = 0.\nAnswer: 0, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8022 or -6?\nAnswer: -8022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:58 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 4*u - 2*u**3 + 6 - 4*u**2 + 3*u**3. List the prime factors of x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31238200 - 686834139\/22. Let s(t) = t**3 - t - 18471. Let r be s(0). Let y = r + x. Find the common denominator of y and -85\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 14 = -2*x + 2*v, 2*x = 5*v + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1620)\/414 - -1)\/((-24)\/552).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14 - 5*h - 1 + 4*h. Let g be p(9). Is 6 a factor of (12*2)\/1 - g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -15*q + 6. Let y be r(4). Let s(k) = 10*k - 123. Let x be s(7). Which is bigger: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raf when three letters picked without replacement from {b: 4, j: 5, f: 4, r: 2, a: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20779 (base 13) to base 3.\nAnswer: -2222010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4106, 18635, 42836, 76697, 120206, 173351, 236120?\n\"Answer: -2*r**3 + 4848*r**2 - r - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 1:08 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -63*f - 1482. Determine d(-15).\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*g = 8*k + 390, -4*g - 363 = 3*k. Let u = k + 99. Does -27 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3.6, -3, -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/4 - 3\/12. Suppose -m = -c*m. Suppose 4*l - 34 = o, 5*l + 2*o - 19 - 17 = m. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -403.6796\nAnswer: 40.36796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 3 (c) 2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 113, 225, 337?\n\"Answer: 112*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 67. Suppose 4*y - 15071 = -j*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -13?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 105*j + 1238. What is v(-116)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.7 + -10.7. Which is the nearest to -0.1? (a) -0.2 (b) -3 (c) r (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356441 is divided by 89108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138510721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 2. Let t be z(13). Let n(c) = -c**3 + 17*c**2 - 34*c - 10. Let y be n(14). Suppose 3*w + 3*w - y = 0. Is t at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 3 + sqrt(76)\/sqrt(4)*2 - ((sqrt(19) - ((sqrt(133) + sqrt(133)*1)\/sqrt(7) - sqrt(19) - sqrt(19))) + -1))**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043925853 to three dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 66 + 4*k - 6*k)*(37*k - 37*k - 4*k**2).\nAnswer: 8*k**3 - 176*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -460804 >= -460803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-11)\/22*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - q - 10, -q + 2 = 28*p - 27*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.99999842 - -40. What is c rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 + 3 = 0. Suppose -2*o - p = -2*p - 4, k*p = 5*o - 10. Suppose -14 - 178 = -4*d + o*l, 5*d + 4*l - 240 = 0. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 - (2\/12 - 38\/228). Let z(l) = -l**3 - 11*l**2 - 5. Let i be z(-11). Let v = 0.05 - -1.95. What is the third biggest value in 0, i, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m\/(m*m**0*m))*m*m*m))\/(m\/((m**(-6)\/m)\/m)))**5)**(-1\/44) assuming m is positive.\nAnswer: m**(65\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6) - (-4 - -2). Sort o, 1, 2 in ascending order.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*x + 729029*a**2 + 26046979*a*x + 2*x - 38 wrt x?\nAnswer: -a**2 + 26046979*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 2, u: 1, z: 1, n: 2, d: 1}. Give prob of picking 1 y and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*q + 41 = 0, -15*o - 21 = -11*o - q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - 8*b**2 - 8*b - 14 - 3 + b**3. Let n = 13756 - 13743. What are the prime factors of d(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:50 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-912)\/19)\/16*(28\/3)\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1770 - 1809. Is b less than or equal to 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1622*n**3 - 10*n**2 + 5*n + 5. Let h(s) = -2*s**3 + 2*s**2 - s - 1. Calculate 10*h(t) + 2*x(t).\nAnswer: -3264*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.081*87\nAnswer: 7.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 6 = x, 0 = 1152*h - 1148*h - 3*x + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 1010670*h + 51072692445 = 0. Calculate h.\nAnswer: 101067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjijicilcilluuk. What is prob of picking 1 c and 1 i?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + -3 + 25 + -17?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 15. Suppose 4*q + 104 = 3*c + 2*q, -r*c - 2*q = -184. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*w - 33 = 0, -2*w = 5*d - 5*w - 111. Let r(q) = -d*q + 0*q - 22*q. Let z(b) = -2*b**2. Calculate r(z(u)).\nAnswer: 92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2\/9, -0.1, -1.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 13*d**2 - 4*d**2 + 12*d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(7\/((-224)\/36))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -9 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846344402*y - 423172251*y - 423172240*y.\nAnswer: -89*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89451 is divided by 520.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + 91 + -135 + (51 - (4 + 2 - 2))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 - 304*g + 302 = 0.\nAnswer: 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*s. Suppose 0 = -s*r - r - 3. Let j = -79 - -80. Put r, j, 4 in descending order.\nAnswer: 4, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2257 and 188108.\nAnswer: 11474588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 10*a**2 - a - 5. Suppose 5*n - 50 = 3*d, -5*d - 66 = -0*d - 4*n. Let s be y(d). Solve -16 = -5*b - i + 3*i, s*i = -5*b + 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3590.5898 rounded to the nearest integer?\nAnswer: -3591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -47. Let l be -59 - (8\/v)\/(-4). Is -57 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 8*y + 12. Calculate the smallest common multiple of 16 and f(8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 15. Let o be z(-6). Let f = o - -23. Suppose -b + f = -0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 98 + 9201*v - 116)*(-4 + 1 - 2).\nAnswer: -46005*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311041 - 154129 + 5*x - 156912.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose 0 = 2*t + 2*w - 668, b = 2*w + w + 15. Is 4\/(-6) - t\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 26 + -45 + 11 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 215 + 705 = 0. What is the greatest common factor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 1. Let c be j(3). Let u(g) = 2*g**2 - g - 1. Let z = 4 + -2. Let x be u(z). Sort x, c, -1 in decreasing order.\nAnswer: x, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 113767036 and -192.9.\nAnswer: 113766843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/(-5)*((-6)\/8)\/(138\/138)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, h: 2, j: 1, b: 4, l: 6}. What is prob of sequence bll?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -3.8. Let q = 42.11 - 42.51. Sort q, -2, m in descending order.\nAnswer: m, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39784, -318983, -1077004, -2553259, -4987160, -8618119?\n\"Answer: -39902*v**3 + v**2 + 112*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 11*h**3 + 35*h**3 - 96*h**2 - 21*h**3 - 23*h**2.\nAnswer: 3*h**3 - 119*h**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -32*x**2 + 4134*x - 4074. Let z(o) = -7*o**2 + 827*o - 814. Let j(k) = 3*c(k) - 14*z(k). Find m such that j(m) = 0.\nAnswer: -413, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) + ((sqrt(252) + -2*sqrt(252))*5 + sqrt(252) - sqrt(252) - sqrt(252)) + sqrt(252))*-4)\/(6*sqrt(2916)*3) + 1)**2.\nAnswer: 16*sqrt(7)\/81 + 7009\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 0, 0 = 4*v + f + 2 - 1. Let r(c) be the third derivative of -2*c**2 + 0*c**3 + 1\/24*c**4 + 0 + v*c. Let u(i) = i. What is r(u(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {g: 1, v: 5, a: 3}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -64, -140, -288, -532?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 29264, 5, 584 in ascending order.\nAnswer: 5, 584, 29264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 92. What is the remainder when 40 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14010 (base 5) in base 4?\nAnswer: 101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*u + 60. Solve 5*q - 3 - u = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83808377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9284, 15771, 22258, 28745, 35232, 41719?\nAnswer: 48206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - 10*a - 10. Let y(v) = -v**2 - v - 1. Let l(c) = g(c) - 6*y(c). What are the prime factors of l(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by -3.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**7\/210 - 2*x**6\/5 + x**5\/10 + 17*x**4\/24 + 34*x**2. Find the third derivative of u(l) wrt l.\nAnswer: 24*l - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/31, 8, -2\/31, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -26212557?\nAnswer: -26212564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - 252\/(-35) - 1\/5. Solve -x = -t + 5 - 4, -t - 2*x - 11 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5\/3, 2, -43, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.15906 times 3\nAnswer: -0.47718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.98 - -9. Let d = 0.22 - c. Let v = -4 + 6. Sort 5, v, d in decreasing order.\nAnswer: 5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from cppcpcqcqchqhqccc?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.028 + -6.428. Let z = 6.399937 + f. What is z rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 + 142*p**3\/3 + 146*p**2 + 442*p\/3 + 148\/3.\nAnswer: -2*(p - 74)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26968 and -3127769741.\nAnswer: -3127742773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 522561.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 - 222. Suppose -c = n*c - 1732. What is c rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*x - 10, 0 = -x + 6*x - 3*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*0*1\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 4*x**2 - 3*x + 2. Let u be g(2). Let s = u - -7. Suppose 4*w = s*z - 13, 0 = 5*z - 4*w - 4 - 23. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjw when three letters picked without replacement from {w: 1, q: 3, n: 5, j: 4, x: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/29)*j**(-8)*j*j)**(-4\/9)\/((j**(-5)\/j**(-8))\/(j**(-1))**(2\/7)) assuming j is positive.\nAnswer: j**(-629\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/25 (b) -2\/15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 64 - 184. What is the remainder when 118 is divided by g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25560148 is divided by 70608.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 438323 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: Does 33 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2*q**2 + 3*q**2)*(-3*q**3 - q**2 + 6*q**3 + 3 - 2*q**3).\nAnswer: 4*q**5 - 4*q**4 + 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 8:16 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 - 0.11. Let v = r + -0.05. Round v to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 - 124. Which is smaller: c or -26?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:35 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -784*w - 16. Let o(s) = -261*s - 5. Determine -16*o(m) + 5*p(m).\nAnswer: 256*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366050653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**2 - 2\/3*h**3 + 0 - 2*h. Let i be y(-2). Solve -2*c = -4*c - i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 566 = -599 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(1512)\/sqrt(6)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -9*b + 10729. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(1216)*-2 - ((2*sqrt(1216) - sqrt(1216)) + 5)))**2.\nAnswer: 1600*sqrt(19) + 121700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.82 in -0.0275, 2, -4, 5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 1324*p + 1050625 - 1023*p + 1749*p + p**2 = 0.\nAnswer: -1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -36. Let u be ((-6)\/a)\/((-3)\/(-30)). Is u < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69750 and 11250?\nAnswer: 348750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -18) + -1*1. Calculate the greatest common factor of 88 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 5*i**3 - 4*i. Let j(p) be the third derivative of p**5\/30 + 20*p**2. What is v(j(z))?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7\/4, 2\/11, 5, 0.03, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2910154 and -121\/338390?\nAnswer: 14550770","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.05, -4, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12100020021 (base 3) in base 7?\nAnswer: -615355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 81 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q + 1. Let k be x(-1). Suppose 3*z = -l + 5, 0 = 5*l + 4*z - z - k. Factor 0*t**5 + l*t**5 + t + 6*t**3 - 4*t**2 - t**5 - 4*t**4.\nAnswer: t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - (-80)\/14. Let r be (333\/(-592))\/(n\/(-40)). Determine j so that 0 + 15\/4*j**2 + 3\/2*j**3 - 3\/2*j - r*j**4 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 273 + 1208. Let b(t) = 10*t**3 + 2*t**2. Let q be b(-2). Let r = q + x. List the prime factors of r.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (0 + -2*sqrt(171)) - -4*-2*sqrt(171))*2 + -2)**2.\nAnswer: 120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/((-270)\/(-27))*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -34*i + 75. What is the remainder when f(-6) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*m + 7187 + 151 = 730 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9 - 7. Suppose 4*r - 10 = 5*j, j + 14 = -2*j + s*r. Let y be (-1)\/j + (-5)\/2. Put -1, y, 2 in ascending order.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 24.4, 1.1, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*p**3*z**3 - 3*p**3*z**2 + 8*p**2*z**2 - 2*p*z**4 + 2*z**4 - 15*z**2 wrt z?\nAnswer: 168*p**3 - 48*p*z + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + z = 8*m + 8, -2*z + 6 = -1 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000128492846 rounded to 7 dps?\nAnswer: -0.0001285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, 396, 1289, 2646, 4467, 6752?\n\"Answer: 232*y**2 - 267*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 10 - 60. Put 5, -19, o in descending order.\nAnswer: 5, o, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2825 and 1051465.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 17*d**2 + 22*d - 17. Suppose -2*s = 2*z - 10, -11 = -3*z - 4*s - 0*s. What is the tens digit of y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b - 29 = j, 0 = j + 4*b + 4. What is the units digit of j*15\/((-360)\/368)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (15 - 5) + -7 - -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377239241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9004 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 - 11723885*s + 105515370 = 0?\nAnswer: -2344786, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4*i + 5*i - 2*i)*(-2184*i - 105*i + 340*i) in the form x*i**2 + l*i + j and give l.\nAnswer: -3898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*10*(-20)\/(-50). Suppose 2*a - r*t - 270 = 0, 4*a + a + 5*t = 660. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2570 divided by 10\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 29*o**2 - 31*o - 167. Let h be p(7). What is the greatest common divisor of h and 2867?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(171)*1*-5 + (-4*(2*sqrt(171) - sqrt(171)) + sqrt(171))**2 + 1.\nAnswer: -15*sqrt(19) + 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 6731?\nAnswer: -6730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:20 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1482, -5905, -13342, -23847, -37474, -54277?\nAnswer: -74310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2027 + 2043. Solve -9*n - q = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1633.4 + 15785.4. Let k = m - 13958.26. Let g = -191 + k. What is g rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**40)\/t)**(-5\/2) assuming t is positive.\nAnswer: t**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.26 + -1.54. Let d = v + 9.7. Which is the closest to d? (a) -5 (b) 0.4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**4\/4 - 2*s**3 - s**2\/2 + 5*s - 65229. Let f = -12 + 7. Calculate u(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*j*u**3 + 7*j*u + 39*j*w**3 - 7292*u**4*w**3 + 7*u*w**3 wrt u?\nAnswer: 216*j*u - 87504*u**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -593 + 855. Let c = 411 - n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 354 - 226. Let h = p - 132. Which is the closest to 0.4? (a) 0.5 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1336 * -325.\nAnswer: -43.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**2 + 9*r - 9. Let b(c) = -5*c**2 - 4*c + 4. Let j(h) = -5*b(h) - 2*k(h). Is j(-3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156) - (sqrt(156)*5 - sqrt(156))))\/(-5*(sqrt(12) - sqrt(588))) + 2.\nAnswer: 3*sqrt(13)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8662 - -12524. What are the prime factors of y?\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thoosofftfhg. Give prob of sequence os.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 519747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 = 2*r - 35, 0 = -2*r + t + 43. Let p be r\/(-12)*(-2 - -6). Let m be (2\/p - -1) + -1. What is the second biggest value in m, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 4*z**2 + 0*z**2 + (2 + 1 - 2)*(-93 - 23 - 16)*(-4*z**2 - 3*z**2 + 6*z**2) to the form l + a*z**2 + b*z and give a.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*k**2*s*v + 7*k**2*s - 3*k**2 - 2*k*s + 568997*s*v - 182*s - 118 wrt v?\nAnswer: -11*k**2*s + 568997*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/7 - 10\/35. Let r be (6\/t)\/(2\/3). Let d be (-3)\/(-9) + (-4)\/r. Which is the closest to 2\/5? (a) 0.2 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 4. Let h = -23 - -19. Let b be a(h). Sort b, 5, 3 in increasing order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4254052 - 1226876.\nAnswer: -1226875.5745948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 6) in base 10?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - 12.4. Let k = u + 28. Let a = -0.02 - 0.98. Put a, k, 0.5 in increasing order.\nAnswer: a, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 4:25 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.59337 centimeters in kilometers?\nAnswer: 0.0000359337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9\/4)\/n)**19*(n\/(n*n*n\/(n\/n**(-3\/2)*n))*n)\/(n*n**(-26)*n))**(-11\/2) assuming n is positive.\nAnswer: n**(1551\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1513655018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:59 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s. Let p(u) = 4*u**2 - 4*u + 1. Calculate -5*m(w) - p(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 31*c - 66 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -13, 385.\nAnswer: -40, -13, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/12 - 14101*y\/6 - 198838201\/12.\nAnswer: -(y + 14101)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 2*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496801655 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12880 divided by 2\nAnswer: -6440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0 + 3, -3*r + 537 = 2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(76) - (sqrt(76)*-3)**2) + sqrt(76) + -2 + ((sqrt(76) - sqrt(76)*-2)*-6)\/((sqrt(64) + sqrt(4) - sqrt(4))*1 + sqrt(4)).\nAnswer: -685 + 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 8) in base 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*u + u = -252, k = u - 57. Let h = k - -39. Let v be (-56)\/h - (-1 - -3). Sort v, -4, 0.1 in descending order.\nAnswer: v, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c - 80 = 0. Let z be (c\/(-35))\/(2\/7). Let m = z + 1. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2846 - -3391. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {g: 5, h: 1, t: 1, i: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.03 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15114707579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27387176 and 3383.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 164187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 4. Let o(c) = -c + 1. Suppose -6*x + 2*x - 12 = 4*k, x = 3*k + 1. Let d(s) = k*n(s) - 6*o(s). List the prime factors of d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.51 - -0.49. What is the nearest to 0 in 1\/9, -0.5, w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1.2, 879, 13?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 523460 divided by 104692\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 215*f - 10. Let c be 14\/4 + 5\/(-40)*4. Is w(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 10*i + 12. Let g be y(9). Let b be (9\/18)\/((-2)\/(-16)). Put g, -4, b in increasing order.\nAnswer: -4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213617 (base 9) to base 13\nAnswer: 45c70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**9\/9072 - f**8\/5040 - f**7\/2520 + f**6\/1080 - 4*f**3\/3 + 4. Let l(q) be the third derivative of r(q). Factor l(h).\nAnswer: h**2*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-195))\/(9\/(36\/(-10))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 - 4*u**2 - 7. Let m(x) = 1 + 5*x**3 - 26*x**2 - 6*x**3 + 0*x + 27*x**2 + 0*x. What is 5*m(j) + p(j)?\nAnswer: j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (9 - 14) - (1 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 952\/5 + -190. Factor 0*t + 1\/5*t**4 - 1\/5*t**3 - n*t**2 + 0.\nAnswer: t**2*(t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 85*b**3 - 4003*b**2 - 267917587*b wrt b.\nAnswer: -24*b**2 - 510*b - 8006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 = -52*u - 112. Suppose 0 = -h - 2*n - 3 - 18, 2*n = -3*h - 63. Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 5 - 5)*(-3*k + 6*k - k) - 64*k**2 - 8*k**2 + 0*k**2.\nAnswer: -74*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let l = q + 3. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -31*c - 86. Determine i(2).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(4*sqrt(325) + sqrt(13)) + (sqrt(104)\/(3*sqrt(8)) - sqrt(104)\/(sqrt(48)\/sqrt(6))).\nAnswer: -5 + 376*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 339*x**2 - 1. Let t be b(2). Suppose i = -3*q + t, 2*i = 2*q - 0*q - 898. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sas when three letters picked without replacement from {a: 6, l: 2, s: 10}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*s = -17, -2*s - 2 = t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/125 and 21\/100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*w**2 - 242*w - 6173 wrt w.\nAnswer: -8*w - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 721*n - 720*n + 2 + 15. Give z(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 5, p: 1, y: 1, v: 4, m: 1}. Give prob of picking 2 v and 1 b.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -105839?\nAnswer: -105838.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13914.477 nanoseconds?\nAnswer: 0.0000000001610471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(162)*-3)\/(-1*sqrt(30)\/sqrt(5))*-4)*1.\nAnswer: -36*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s**2 - 3*s**4 + (1 - s**3 - 1)*(2 + s - 2))*(-1 - 3 + 2).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -38*c + 2. Let k(u) = 13*u - 1. Let s(z) = 17*k(z) + 6*m(z). What is the tens digit of s(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339 (base 14) to base 5\nAnswer: 10024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b. Let m = 2 - b. Let n = 16 + m. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 39 = 5*n, 3*o - 160 = -17*n - 121 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10697937.85 to the nearest ten thousand.\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqmqqqmq.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2 - (-10 - -1)) + -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 24*g - 22. Let r be l(-23). Is r != 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 233590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**9)\/(t**(-3)*t))\/((t\/t**(-1\/8))\/(t\/t**1))*(t**2*t**(-1\/13))**(-19) assuming t is positive.\nAnswer: t**(-2669\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1295)\/(-1554))\/(10*(-3)\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*j - 254, -3*f = j - 3*j - 772. Let n = f + -161. Let a = n + -46. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77488373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -54. Which is the second smallest value? (a) v (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 0 + 21*b + 4 - b**2 + 2 + 5. List the prime factors of p(9).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23105533 (base 9) to base 11.\nAnswer: 6376332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3597 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfrerxffxfrxkr. What is prob of picking 1 f and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062589464 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -626727?\nAnswer: -626730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -248 divided by 2\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.882 + -25. Let n = d + 0.11. Let o = n - 0.013. What is o rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 62867?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -221. Let n = 246 + q. Is 12\/(-9)*n\/(-4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358?\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551 = 60*q + 309 - 140 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-28) + 18\/8. Suppose m = i - 0. Let f(z) = -z**3 - 2*z**2 - 6. Calculate the remainder when f(-3) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/5 (c) -8\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (451\/(-902))\/((-2)\/(-28))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*r**2 + 0 + 7\/2*r.\nAnswer: r*(r + 21)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 588*d + 14*d**2 + 0*d**2 - 608*d.\nAnswer: -2*d*(d - 5)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344536 is divided by 263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/81472 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -250005344 (base 6) to base 13\nAnswer: -ca8859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 189*d + 25097. Calculate i(90).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 + 244 = 8*t - 551. Calculate the least common multiple of 664 and t.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:55 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 55*l - 11*l. Let y(t) = -t**3 - 6*t**2 - 5*t + 1. Calculate y(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3152*y - 1051*y - 1057*y - 1050*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 - 2*k**2)*(2 + 12*k**2 - 9*k**2 + 7*k**2).\nAnswer: 10*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54179859857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/(-9)*80\/(5280\/(-6237))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/2 + (2 - -3). Suppose -5*w = -u*k - 120, 0 = 6*w - 3*w + 3*k - 90. Find the first derivative of 23*h**4 - 3 + w*h**4 - 52*h**4 - 7 wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23794.06 days to minutes.\nAnswer: 34263446.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 34 = -6*t + 4*p, -2*p - 14 = t. Let i(n) = -23*n**3 - 2*n**2 + n. Let v be i(1). Let a = t - v. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18.7 or -550.3?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 5)*(-2*s - 1 + 1) + 0*s - 4*s + 3*s + (-2*s - 3*s - s)*(4 + 4 - 5) + 4*s - 3*s + 0*s to w + p*s and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1)\/(-1 - 0). Let g be (-5 - -2)\/((2\/(-11))\/(5\/(-220))). What is the third biggest value in g, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0024, -759, -27, 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -2. Suppose -i = -6*i + 35. Suppose 3*h - 10 = -4*g + i, 0 = -3*h - 5*g + 19. Sort h, a, 0.1.\nAnswer: a, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013540643 to 6 decimal places.\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3.5. Let k = 1 - x. Let n = k - 2.5. Which is the biggest value? (a) 3 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 4, x: 3, s: 1, q: 6, t: 1}. Give prob of sequence lqqk.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.746474 litres?\nAnswer: 4746.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 187605097 * -3.\nAnswer: -562815291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 + (-24)\/(-14). Let n be ((-4 - 1) + 2)\/(-1). Suppose -h - 3*h = 0. Solve h = -n*z - o + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*v + 766, -5*i + 3*v = -720 - 582. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-3) - 24\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 8*q + 4. Let b(p) = -p**3 + 5*p**2 + 7*p + 2. Let l be b(6). Let g be o(l). Let v = 21 - 17. Solve -g*n = 0, -n = -j - v*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f + 5*g - 13, -2*g + 8 = 3*f. Let h(y) = -3*y**2 - y**2 + 2*y**f. Let q(r) = -2*r - 4 + 2 + 2. What is h(q(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1548, 1623, 1708, 1809, 1932, 2083?\n\"Answer: y**3 - y**2 + 71*y + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.9 times -0.5?\nAnswer: -127.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, t: 4, g: 4, x: 3}. What is prob of sequence xt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(35) - (sqrt(245) + sqrt(245)*1)\/sqrt(7)))\/(sqrt(49)\/(sqrt(56)\/sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71548220 and 28?\nAnswer: 500837540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - (-1 - 6\/(-9)). Is a < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-24 - -7) + 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -29*w + 10*w + 30. Solve -25 = -5*x, -3*x = -w*n + 2 - 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.78 + -140.78. Let o = -571945 + 571805.9941. Let v = o - h. Round v to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30896.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + 8\/3)*-615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 6*u**2 + 4*u + 7. Let m be q(3). Let k(l) = -l + 19. Let t be k(m). Which is greater: 3\/119 or t?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8d52 (base 15) in base 13?\nAnswer: -194228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**2 - 3*x - 4. Let v be a(-2). Suppose 3*o + b = -12 + 34, 0 = 5*o + 5*b - v. Let z = 1 + 8. What is the remainder when z is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24883126 divided by -4\nAnswer: -12441563\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10383.\nAnswer: 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2213 divide 26593621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1014, 8577, 29118, 69129, 135102?\n\"Answer: 1082*k**3 - 3*k**2 - 2*k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002398994 to 6 dps.\nAnswer: 0.002399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*s = -225, 0 = -5*k + 2*s + 3*s + 270. Suppose -5*m - 2*l = -404 - k, l + 1 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by -4?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -166*b**2. Let z(j) = -276*j**2 + 551*j**2 - 277*j**2. Calculate z(l(q)).\nAnswer: -55112*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 10:16 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551138 to the power of 1\/2, to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, -3, -54, 0.4, 2\/55, -0.1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 1, -5*y = 4*g - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/10 - 2511*t\/5 + 5021\/10.\nAnswer: (t - 5021)*(t - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*b = -4*x - 176*b - 47, -4*b + 58 = -5*x. Let w(d) = -d**2 - 5*d + 131. Let m be w(x). Solve 0 = 2*l - 0*l + 3*q + m, -l + 5*q = -17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrxxxaaxaxzaaaaaxz. What is prob of sequence xaxz?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5588 = 2*i - 173*q + 172*q, -i + 5*q + 2812 = 0. What are the prime factors of i?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 423596*p**4*t**2 + 2*p**4 - 101*p**2*t + 1442*p**2 - 2*p*t**2 wrt p.\nAnswer: 10166304*p*t**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/4204)\/((-1710)\/15). Let v = -52179003\/159752 + d. Let s = v + 327. What is the closest to 2 in 1\/6, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 75*r + 11362. Let d(g) = 3*g**2. Give n(d(w)).\nAnswer: 225*w**2 + 11362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52 and -4003.227.\nAnswer: -4055.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 551145?\nAnswer: -551200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -290, -993, -2104, -3623, -5550?\n\"Answer: -204*c**2 - 91*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2) - 1)*2. Let j = 4 - f. Suppose -t + 5 = -2*l + j, l + 8 = 4*t. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 891 + -506. Let g = 38 - 3. What is the greatest common divisor of f and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -10, -4, 645, -8 in descending order.\nAnswer: 645, 5, 3, -4, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k + 3. Suppose -z + k = -7. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 13*m - 293. Let v be (-1)\/((-1 + 0)\/2). Solve -v*k - k + m = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136938343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 4. Suppose 5*i + m = -9. Let u = 0 - i. Solve -u*y - 1 - 11 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28371924 divided by -75058?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1105445*f**2 - 139461 with respect to f.\nAnswer: 2210890*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*i - 7*i - 6*i)*(-2 + 2 + 3)*(-2*i - 2*i + 3*i).\nAnswer: 90*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 4195800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:43 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 4.8. Let s = 0.7 - 0.4. Which is the smallest value? (a) r (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1101201012?\nAnswer: 1101201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 26 = -g. Suppose 0*k = 5*k + 25, -4*d = 4*k + 8. Suppose 0 = s - d*n, 4*n + 19 + 6 = 3*s. Calculate the remainder when g is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:18 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/30903 and 17\/6.\nAnswer: 61806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 134*u**2 + 8*u - 19. Is a(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-3) + 3)*-9. Suppose -o = m*o - 60. Calculate the remainder when o is divided by (-2)\/14 + (-145)\/(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548273371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(12\/8))\/(-7)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781326 divided by -546.\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1600421\/36 - -44459. Calculate the common denominator of 35\/8 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i**(-4\/21))\/(i*i*i**(-4\/5)*i*i**5)**50 assuming i is positive.\nAnswer: i**(-7570\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - f + 1. Let v be 1\/25*-373 + (-116)\/1450. Let b(p) = 15*p - 15. What is v*c(y) - b(y)?\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 1920 + 892 = 0. What is the remainder when 450 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (2 - 3) + (444 - 462)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 5 - (1 - -6) - -74?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546693 is divided by 213.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.9 + -23. Which is the nearest to -1? (a) s (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1089313.5 hours?\nAnswer: 45388.0625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 51 - (-1 + 1 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 16) to base 13\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -3 (c) 561\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -683.77\nAnswer: -12307.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12495*z**3 + 5422820*z**2 - 588372715*z - 470890 = 0. Calculate z.\nAnswer: -2\/2499, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 40. What is the derivative of -31 - 2405*z**4 - 4*z + 2383*z**4 + j*z wrt z?\nAnswer: -88*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 122*i**2 + 5*i + 446. Let z(h) = -30*h**2 - h - 111. Let v(s) = 2*p(s) + 9*z(s). What is the derivative of v(u) wrt u?\nAnswer: -52*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.232985 * -42.\nAnswer: 51.78537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 + -4c?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-148)\/12*-207 + 9. Calculate the greatest common factor of 84 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b2 - -1a7?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2683.2015 - 316874.\nAnswer: -319557.2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-8))\/(12108\/(-1711264))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1044 - 1040. Calculate the highest common factor of i and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 15, -0.5, -2, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 865103 (base 9) to base 3\nAnswer: 222012010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0\/4 + -2). Let u(q) be the second derivative of 1\/120*q**6 + 0*q**3 + 0 - 1\/40*q**5 + 0*q**4 + r*q + 1\/56*q**7 + 0*q**2. Factor u(j).\nAnswer: j**3*(j + 1)*(3*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, -35, 3, -2 in decreasing order.\nAnswer: 3, 0, -2, -30, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d75 (base 16) in base 6?\nAnswer: -333421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 7*r + 7. Suppose 0 = -l + w + w + 1, 4 = l - 3*w. Determine c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443676137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 618.14475 nanoseconds in hours?\nAnswer: 0.000000000171706875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -85. Let x be (-3)\/r + (-3)\/(-21). What is the smallest value in -1, x, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 52\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**12\/c)*(c*c\/c**(1\/2))\/c*c)\/(c\/c**(-21\/5)*c*c**(-15\/4)))**19 assuming c is positive.\nAnswer: c**(-4161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*h + 44 = -6, h = s. Suppose -x = -5*p + 242, p - 2*x = -s*x + 42. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*c**2 + 14*c**2 - 7*c**2)*((-2 + 2 + 3)*(5 - 4 - 2) + 25 - 16 + 16) to g*c**2 + v + w*c and give g.\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 3. Suppose 0 = -2*v - o*v + 10. Solve 3*p + 2*p = -h + 9, -4*p + 6 = v*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02508 - -0.1\nAnswer: 0.07492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3158, 12520, 28092, 49874, 77866, 112068?\nAnswer: 152480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.988 - -3. Let k = 550 + -550.818. Let j = i - k. What is j rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**5\/30 - 5*m**2. Let p(k) = 2*k. Determine c(p(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**2 - 8*m**2 + 374*m**3 - 7*m**2 - 267*m**3 - 7*m**2.\nAnswer: 107*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -7*o + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.28 - 5.12. Let l = -0.1600967 + u. What is l rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 22. Which is the second smallest value? (a) 3 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1376, 2730, 4086, 5444, 6804, 8166?\nAnswer: 9530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 0*i - 336 = 0. Let x = i - -53. Suppose -x*o + f = -3276, 0*f - 5 = 5*f. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 218, 835, 1808, 3095, 4654, 6443, 8420?\n\"Answer: -7*t**3 + 220*t**2 + 6*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 90*m**2 - 9*m + 805. Let w be a(90). Suppose -5 = t + 4*s - 2, 3*s + 5 = 2*t. Put w, 0, t in descending order.\nAnswer: t, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 879813 by 3.\nAnswer: 293271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 937999882 - -27510\nAnswer: 938027392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 15*t + 22. Let s(z) = -z**3 + 2*z**2 + 1. Let h(l) = 7*l**3 - 4*l**2 - 6*l + 5. Let a(y) = h(y) + 6*s(y). Let g be a(-9). Calculate n(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*(-6)\/45.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 44. Let n be y\/(-15)*18*1\/(-4). What is the greatest common factor of 102 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220\/396)\/((-10)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s*s**(-1\/7))\/s)*s\/(s\/(s\/(s\/s**9))*s))**42\/((s\/s**0*s*s)**(11\/2)\/((s*s*s*s**(-2\/7)*s)\/(s\/(s**(-5\/6)\/s)*s*s))) assuming s is positive.\nAnswer: s**(6812\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:07 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. Suppose 0*x + 11 = l*j - x, 3*j + 14 = -4*x. Suppose -b = -z + 17, -z + j*b = 3*z - 64. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -477119147786.999998588 + 477119148643. Let v = g + -856. Round v to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(-2*p + 3*p - 3*p) + 40*p - 16*p - 18*p + 3*p - 7 + 7 as s + r*p and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14791 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-6))\/((-1)\/(-9)). Let t be (8 + (-2 - -1))*f\/35. Find the third derivative of -72 + a**6 - t*a**6 + 72 - 21*a**2 wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b**2 + b. What is the units digit of k(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209519482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2962\/2095 or 1?\nAnswer: 2962\/2095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 8515 - 11447. Suppose v + 284 = 3*j. List the prime factors of j.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 0, -60 in increasing order.\nAnswer: -101, -60, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**4)*m**(2\/17))\/(m\/(m\/((m\/(m**(-1)*m))\/m*m))*m)**(-2\/3))\/((m*m**(-1)*m)\/m**1)**(2\/9) assuming m is positive.\nAnswer: m**(278\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16049? (a) 18.2 (b) 5 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89024 and 64909624.\nAnswer: 11128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -532 (base 11) to base 8\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*h + 5 = 0, 2*h + 12 = 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v + 43*v - 16*v)*(-v + 3*v - v).\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -784\/5 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 75?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2320\/7 - 332. Let h = -0.906 + -0.094. Let x = 3.5 + -3. Which is the nearest to h? (a) x (b) d (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(11)*1 + sqrt(11) - sqrt(11)))\/sqrt(7)*-3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - g = 3, -3 - 3 = -2*j + g. Let f be (-1)\/3*45\/(-20). Let m = j - f. Do 2\/7 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0 - (-84)\/(-60). Suppose 2*q - 9 = -q - 4*k, 4*q - 2*k + 10 = 0. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y. Let j(q) = 150*q**2 + 153*q - 2. Determine j(v(p)).\nAnswer: 25350*p**2 + 1989*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4478 - 525*f**2 + 3876751*f**3 - 220*f**2 - 3876753*f**3 + 8954*f - 3729*f**2.\nAnswer: -2*(f - 1)**2*(f + 2239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*13\/((-2197)\/(-104))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 22*z + 0*z**5 + 0*z**4 + 0*z**3 - 8\/15*z**6 + 0 + 3*z**2. Differentiate u(o) with respect to o.\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c*g**3 - 3*c*g**2 + 6178*c*g - c + 36999*g**4 - 3*g - 2 wrt g?\nAnswer: 24*c*g - 6*c + 443988*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0779 (b) -10\/53 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 + 3*x + 1. Let u be b(-1). Let q be u + (-17 + -3)\/(-1). What is the second derivative of -23*d**3 + q*d + 8*d + 1 - 1 wrt d?\nAnswer: -138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -659 + 489. Let t = 1422 + z. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -20479 (c) -3\/5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:11 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219274736.\nAnswer: 2, 227, 60373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1340.923m?\nAnswer: 1340923000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2247*w**2 + 6*w - 1. Let v be t(1). Round v to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l*w**2 - 1322*l + 289*w**2 - 10*w + 44 wrt l?\nAnswer: -3*w**2 - 1322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.82 - -289?\nAnswer: 242.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848190 is divided by 1848188.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 - 4402*s**3 + 26400*s**2 - 52792*s + 35192.\nAnswer: (s - 8798)*(s - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10021222 (base 3) to base 6\nAnswer: 15042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 5186997.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34*(-2)\/4*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t - 0. Let s(f) be the second derivative of f**4\/4 + f**2\/2 - f. Determine s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-612)\/(-1275) - 7239\/(-75)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u + 54. Calculate the highest common factor of u and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -5)*8\/(-20). Suppose -4*k - 56 = 2*g, t*k + 3*k + 67 = -g. Let m = 15 + k. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = -5, -a + 21 = 5*n. Let v = -2 + 1. What are the prime factors of (0\/(-1) - v) + a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 12 = 16*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2.9, -5, 9586\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -r - 2*k, -3*k + 12 = 0. Let f = r + 11. Solve 0 = -5*l - x - 19, 0 = -2*l + f*l - 5*x + 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -1227, -1750?\nAnswer: -2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*k - 24, -a + 10 = -0*a - 5*k. Suppose -10 = -0*y - a*y. Suppose -26*n = -27*n. Solve y*x + 5*v - 27 = n, -4*v = 3*x + v - 28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 3:34 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2156 and 9548?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 93. Calculate u(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + f - 18, -156*f + 160*f + 20 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 20*p - 11*p**2 + 13 - 6*p**3 - p**3 + 16*p**3 - 11*p**3. What is m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.067 times 74393\nAnswer: -4984.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 64\/5 of a microgram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8919081 smaller than -8919080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 712247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721246, 721251, 721258, 721267, 721278, 721291, 721306?\nAnswer: 721323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and 83\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10830585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -3. Let n = -2 - -10. Suppose -2*x = -0*x - n. Sort x, 5, q in descending order.\nAnswer: 5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -233, -3 in descending order.\nAnswer: -3, -34, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108624, -217226, -325828?\nAnswer: -434430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3135.23014 - 3128.58. Let k = x - 6.65. What is k rounded to six dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6122749 to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -262 + 592. Suppose 14*n = -50 + a. Calculate the greatest common factor of 15 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, 213, 467, 821, 1275, 1829?\n\"Answer: 50*f**2 + 4*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1364\/(-23870))\/((-16)\/(-28))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21205 and 3.9.\nAnswer: -0.826995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106258387969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and 80605?\nAnswer: 80605.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, d: 1, a: 2, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5692822069.\nAnswer: 11, 23, 22501273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**4\/g)*g)\/g**(-2))\/(g**(1\/5)\/g**(-2\/9)))**(-19) assuming g is positive.\nAnswer: g**(-1349\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 363*j**3 - 9*j**2 + 1083*j + 726.\nAnswer: 3*(j - 121)*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -1152304\nAnswer: -5\/576152","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put -30.7, 18, 1\/7, 2, -1, 3 in descending order.\nAnswer: 18, 3, 2, 1\/7, -1, -30.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*w + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 47. Suppose -6*k - b*k + 230 = 0. Calculate the remainder when 60 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -10)\/3 - (2 - 1). Let k = 3\/7 + -19\/28. Put -0.5, k, 0, u in descending order.\nAnswer: u, 0, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*n + 230. Suppose 0 = -f + 3*f + 4*y + 32, -5*f + y = n. Let s = -12 - f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from zuuuzduuuullduul?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382527463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1, -2.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2\/11.\nAnswer: -3, -1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-8)\/28)\/(78\/819).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/36)\/(2\/12*-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 81*d - 323. Let t(l) = 13*l. What is m(f) - 6*t(f)?\nAnswer: 3*f - 323","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246302.\nAnswer: 2, 7, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.14, -8.3038, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.69 in -144, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-22))\/(2\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61063843.\nAnswer: 73, 836491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 910. Let u = -1282\/7 + c. Let d = 58040 + -58041. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 9:28 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1440006*x**2 + 4415037 wrt x?\nAnswer: 2880012*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534456 is divided by 1223.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.275588 - 10.585383. Let g = 80.861281 + o. Let a = -70 + g. What is a rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -33771659.\nAnswer: -33771661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1175, -24, 11, 0 in decreasing order.\nAnswer: 1175, 11, 0, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-3))\/((-20)\/30)*3)\/(539\/(-11858))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2)*0)\/(-1). Suppose -14 = -4*z + i, w*z + 4*i + 11 = z. Let g be 7\/(-126)*z\/(-4). Are 1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108257.054237 - 108257. Round b to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from bwbwxbxw?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5906 and 5438.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4\/5 - 12*c**3 - 240*c**2 - 1600*c = 0?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 3, -6, 339, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4958, 4958, 4956, 4952?\n\"Answer: -s**2 + 3*s + 4956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-3 + sqrt(833))*5 + sqrt(833))*-4 - (-4 + -2 + sqrt(833) + 1)) + -4)**2.\nAnswer: -21350*sqrt(17) + 524346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 p when four letters picked without replacement from qqqppsqsqqpq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57351 + 25407 - 2*u + 26769 to i + d*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000102 (base 3) to base 8.\nAnswer: 64550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101100 (base 2) in base 4?\nAnswer: 31230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((175\/(-98))\/(-5)*(-56)\/(-120))\/(8\/24).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8796 + 9005 = -829*u - 34426 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804190846.\nAnswer: 2, 3, 4423, 105667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 1. Let v be (1\/(-2))\/(g\/(-12)). Which is the nearest to -0.1? (a) v (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 670013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: d75d8c (base 14) to base 13\nAnswer: 167a336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.21 - 6.21. Which is the closest to -1\/4? (a) 0.09 (b) -0.5 (c) x (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3338 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + o**2 - o**2 + (-2 + 2 - 2*o**2)*(-2*o + 0*o + 4*o) - 5*o - o**3 + 5*o + (3*o + 0*o - 2*o)*(4*o**2 + 0*o**2 - o**2).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 14. Let o(d) = -2*d - 23. Let z(t) = -t - 12. Let l(g) = i*z(g) + 2*o(g). Let x be l(-9). Solve 0 = -0*m - m + x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -42 (b) -2\/5 (c) -341833\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, d: 9}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -172*h + 306*h - 174*h - 600 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 30. What is the closest to -1 in -5, 2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-160)\/(-280)*(27 + 1). Let h(j) = j**2 + 5*j + 8. Suppose -18 = 3*t - 0. Let d be h(t). Do d and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -441 by 1467.\nAnswer: -49\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29175\/188 at most as big as 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/570 - 229*d**4\/19 - 629292*d**3\/19 - d**2 - 2491. What is a in v(a) = 0?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from vssvvs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152692, 305376, 458060, 610744?\nAnswer: 763428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118311393349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 + -78. What is the lowest common multiple of 156 and y?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1\/(-1) + (-1 - 13). List the prime factors of ((-327)\/v*-1)\/(1\/(-4)).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*q + 38. Let h(b) be the third derivative of b**5\/60 + b**4\/3 - 13*b**3\/6 + b**2. List the prime factors of h(q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 185 + 100 - 11 + 36*u**2 + 2240*u + 222 = 0.\nAnswer: -62, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5831 - -5843. Solve r*t - 11*t + 3*b = 7, 0 = 2*t - 5*b - 14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = -n + 2541. Let z = -71 + n. Is (-2 + z)\/(-2 + (2 - -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 44252?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b**2 + 20*b - 29. Let y(v) = 4*v**2 + 7*v - 10. Let g(t) = -3*n(t) + 8*y(t). Let p be g(-5). Solve p*q - 2*u - 10 = 2*u, -5*u - 13 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v. Let j(z) be the third derivative of -z**5\/5 + 59*z**2. Give u(j(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p + 95. Let j be k(-7). Let s be 3*(2\/(-9) - (-14)\/9). Solve -d + j = s*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k - 6*k + 4*k)*((5*k + k - 4*k)*(-3*k**2 + 5*k**2 - k**2) + 2*k**3 + 1 - 1) to the form d + f*k**2 + n*k + p*k**4 + h*k**3 and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/14053395 and -11\/58716.\nAnswer: 1180485180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1192021616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 1\/2*l**2 + 5\/72*l**4 + 0 - 13*l - 1\/45*l**5 + 1\/360*l**6 - 1\/9*l**3. Let r(b) be the first derivative of v(b). Factor r(q).\nAnswer: (q - 2)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 106 = -2*q, q - 3*h + 177 = 4*q. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 + 139*m**2 - 230*m + 573. Give s(-48).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1358 + 2*l**5 + 9*l**4 + 4*l**5 - 4*l**4 - 1353 + 5*l**2. Let s(c) = 5*c**5 + 4*c**4 + 4*c**2 + 4. Let h(y) = 4*k(y) - 5*s(y). Factor h(b).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - -4.4. Let l = 6 - u. Which is the nearest to l? (a) 0 (b) -2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 + 17325*y**2 + 382386*y + 1252152 = 0. What is y?\nAnswer: -18, -4, 5797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 - 35*u + 61. Let o(n) = -n**2 + 9*n - 2. Calculate the remainder when r(4) is divided by o(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2945\/34 + -125849\/1428. Calculate the common denominator of 69\/308 and n.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) 5 (c) -8\/5 (d) 0 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/6 + (-8)\/12. Which is bigger: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1054*(-1)\/10 - (-6)\/10 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**2 + 150*j - 320 = 0.\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*h - 6. Let a be (h + 0 - -2) + 0. Let n = -5 - a. Calculate the remainder when 17 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*c - 11*c - 345*c)*(0*c + c - 3*c).\nAnswer: 428*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424, 1427, 1432, 1439, 1448, 1459, 1472?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 13. Let m(c) = c**2 + 9*c - 8. Let n be m(-9). Let o be f(n). Solve 0 = 4*v - o - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -161\/4 - -79\/2. Suppose -d + 4 = -0. Suppose -4*l = -5*y - 13, d*y + 3*l = -2 + 4. What is the nearest to 1\/4 in x, -2\/25, y?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 - -328. Solve 3*p + 3*r = 0, -26 + d = -4*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - i + 8. Let t be n(-2). Calculate the greatest common divisor of t and 4014.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*51.96.\nAnswer: -9.8724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 47137?\nAnswer: -47144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 193863237 to the power of 1\/2, to the nearest integer?\nAnswer: 13923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*((-2)\/(-7) - 2). Let n = -3 - o. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14097482 and 1458037.\nAnswer: 15555519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.316994 + 459?\nAnswer: 512.316994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 61?\nAnswer: -60.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3515, -7042, -10571, -14102, -17635, -21170, -24707?\n\"Answer: -r**2 - 3524*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23 - 64 + 0*d - 136*d**2 + 131*d**2 + 2*d wrt d.\nAnswer: -10*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + o**2 + 5*o**2. Let r(m) = -m**2. What is r(x(v))?\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 11 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -631 + 636. Let p(j) = 8*j**5 + j**2 - 102*j. Let d(z) = 6*z**5 + 2*z**2 - 102*z. Let x(k) = a*d(k) - 4*p(k). Find the second derivative of x(t) wrt t.\nAnswer: -40*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657275 is divided by 442875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:37 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 s when three letters picked without replacement from srafs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127129\/10644 + 24\/887. What is the common denominator of a and 3\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10192364 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 215*o**2 - 248*o + 738. Is k(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14 = -2*t, -3*c = -4*t - 0*c + 2. Let j be t\/(-3) - (-33)\/9. Suppose -3*z + 77 = a - 2*a, -j*z + 2*a = -79. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214377368 by 107188684.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57907 + -57532.49. Let m = k - 371. Round m to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22904 - -2.029031. Let f = 0.11 + 1.69. Let m = v - f. What is m rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-50.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*18\/(-585)*(-2 + 1)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53951 + -28218. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 66 + 22 + 19 - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*-1*(-4 + 3). Which is greater: b or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9464, 37850, 85142, 151340, 236444?\n\"Answer: 9453*v**2 + 27*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from uqqhq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 22 - 5*u - u + 30.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/((h\/(h*(h\/(h*h**1*h*h)*h)\/h*h))\/h*h)*h)\/h)*h\/(h*h**(2\/13)))**32)**(-1\/21) assuming h is positive.\nAnswer: h**(-256\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/4 + 4933*y**2\/4 - 7463751*y\/4 + 3180234915\/4 = 0 for y.\nAnswer: 715, 2109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -9 (c) 3\/8 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1188 - -119a?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - (1 - -1) - (16 - -56).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4 - 146*y**3 - 546*y**2 + 450*y + 2484 = 0.\nAnswer: -69, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 4 = 17*g. Let v(j) be the third derivative of -j**5\/60 - j**4\/24 + 17*j**3\/6 - 57*j**2. What is v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1489871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Let q(o) = -d - o - 2*o + 2*o. Suppose 3*g - h + 13 = 0, -5*g + 5 = 2*h + 34. What is q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l + 234 = 101*l. What is the lowest common multiple of 54 and l?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6)\/s)**(2\/11)*(s\/((s**3\/s)\/s))**(-13\/2) assuming s is positive.\nAnswer: s**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/1470 and -125\/2352.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.011 + 0.211. Which is the fourth smallest value? (a) -2 (b) -4 (c) -5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60005 - 660496\/11. Let f = l - -41. Factor -6\/11 - 14\/11*k - f*k**2 - 2\/11*k**3.\nAnswer: -2*(k + 1)**2*(k + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 73*j**3\/3 - j**2 - 6*j - 41. Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*n - 561 - 861 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22363 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 18*j**2 - 19*j + 23. Calculate i(-17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/2 - 111*q\/2 - 57 = 0 for q.\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/770 and 117\/383180?\nAnswer: 4214980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187492 = -35*z + 532782 - 113689. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.446 + 0.046. Which is the nearest to 1? (a) z (b) -9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-3\/4)))\/n)**(-31))**(-1\/3) assuming n is positive.\nAnswer: n**(-217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.083 - 0.917. What is the nearest to 9 in k, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n - 14. Let x(j) = -2*j**2 + 13*j + 10. Let d be x(n). Solve -2*s + d*q + 2 + 5 = 0, -5*s + 10 = -5*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37208 = -9*p + 188093. Is (16 - 14)\/(10\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - -75. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 + -4 - 0) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/28)\/(15\/42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72066.3 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:17 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 693665 + -226572. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dde when three letters picked without replacement from eeedeeeedeeee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Let a(s) be the first derivative of -2*s**3 - 2*s**2 - 4*s + 1328. Determine a(r) - 4*q(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1416145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.79 + -624.79. Let c = 254 + a. Let d = -368.0000177 - c. What is d rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(5 + (0 - 3)). Let s(f) = 2*f - 2*f**v + 4 + 0*f + 3*f**2. Does 8 divide s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 times 24.08831?\nAnswer: 4.5767789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*o**3 - 174*o**3 - 13 + 13 - 188*o**3 + 530*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 20*r - 10. Let d be h(-8). Suppose d*f = 25*f - 8499. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11622\/312)\/(-149))\/((-1)\/212).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3\/2*k**4 + 0 - 3\/4*k**5 + 6*k**2 + 0*k + 3*k**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*119\/(-204)*24\/56?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1659\/4 - -343417\/828. Let m = 403\/2277 + n. Let p = -15\/22 + m. What is the second smallest value in 0.5, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/18 and (-6 - 1) + 22712\/2924.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.505 - -0.305. Let j be (-2)\/2 - (-2 - -1). Let d = 11 - 8. What is the third smallest value in j, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99*x*y**6 - 2*x - y**5 + y**2 - 4 wrt y?\nAnswer: 11880*x*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - -1.63. Let v = -1.4 + z. Which is the second biggest value? (a) v (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)\/(h\/(((h\/(h\/((h\/h**(-14)*h)\/h))*h)\/h*h)\/h*h))*(h*(h*(h**(-2\/13)\/h*h)\/h)\/h*h)**(2\/25) assuming h is positive.\nAnswer: h**(1647\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -0*x - 4*x - 3*i, 0 = -4*i - 12. Suppose -53 = -x*h + 7. Solve -h*c - 4*y + 7 = 0, 3*y = -3*c + 5*y - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/132 and -85\/61215308.\nAnswer: 183645924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v - 52. Let p be y(7). Let r be 3 + (-4)\/(12\/9). What is the third derivative of 6*d**p + 0*d + r*d - 42*d**2 + 39*d**2 wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m + 5 = 0. Suppose 5*w - 3 = -3*j, 2*j - w - 2 = 3*w. Sort 0, 6, m, j in increasing order.\nAnswer: m, 0, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210813.83192 - -203446.472. Let y = 7367 + s. Let m = y - -0.36. What is m rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/28)\/(2\/7). What is the units digit of (-150)\/n*(-16)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*j - 5*v + 3, 2*j = -v + 3. Suppose 0 = j*c - 24 - 16. Solve -3*o = o - c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 + 16*z + 6*z**3 + 2*z**2 - 18*z - 4*z**3 as y*z**4 + v + q*z + t*z**2 + a*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8 + 48 - 4*a + 11)*(-3 + 2 + 0 + (-1 - 2 + 4)*(6 - 2 - 5) + 2 - 3 - 1).\nAnswer: 16*a - 276","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*j + 99905 - 150505 = 0 for j.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let k(u) = 172*u**2. Determine l(k(g)).\nAnswer: -344*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1586 - 8*c**3 - 3174 + 1574.\nAnswer: -8*c**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 225 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*71699459.\nAnswer: -157738809.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaa. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**2 - 2*n + 2. Let b be j(1). Calculate the greatest common divisor of b and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/(14\/35) + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 250a90 - 22?\nAnswer: 250a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47*1 + -1 + 5 - 3 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 617749 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)*t**(-5))\/(t*t\/t**(-1\/4))**(-18))\/(t**(2\/5)\/t**(-6))**(1\/53) assuming t is positive.\nAnswer: t**(18539\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 1 - 6) + (10566\/6 - 21) is divided by 100.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:04 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Let h = 0.0533 + -3.0433. Let w = -0.01 + h. Which is the closest to s? (a) -2\/9 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-750)\/((-12)\/90 - 197\/(-1590)). Round t to the nearest 1000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/57, 1\/244, -1\/2, 4 in increasing order.\nAnswer: -1\/2, -2\/57, 1\/244, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 5*s**2 - 5*s**2 + 144*s + 17*s**2.\nAnswer: s**2 + 144*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 64, 99, 134, 169, 204?\n\"Answer: 35*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37\/3*q**2 - 17*q + 32\/3*q**4 + 14\/3 + 20*q**3 = 0. Calculate q.\nAnswer: -2, -1, 1\/4, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + t = -220. What is the highest common factor of t and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*o + 17*o + 341 - 93 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 1442?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1007 + 1479. Let d = h - 365. Put 1, 3, d in ascending order.\nAnswer: 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261018 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 59*l**3\/6 - 4*l**2 + 10538*l. Give f(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.487 + 0.392. What is the closest to h in -5, 0, 0.5, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1760 and 12480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3116112.\nAnswer: 2, 3, 64919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -36036, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 61, 2, 5, 0.\nAnswer: 0, 2, 5, 21, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l - 97 = -13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-6 - -6 - (0 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2778801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3*l - 29*l - 7)*(12 + 2 + 1).\nAnswer: -480*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1678*q*v + 310*q - 3 wrt v.\nAnswer: -1678*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882 > 129811\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h = 1365 - 1689 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 3, s: 1}. What is prob of picking 1 s, 2 j, and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4226620)\/(-45350) - ((-22)\/(-10) - 2)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(63) - (sqrt(2268)*-1 - sqrt(2268)))*-4)\/(3*sqrt(432)\/(1*sqrt(12))) + 4.\nAnswer: -104*sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84690660 and 8220?\nAnswer: 84690660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 68, -0.18 in increasing order.\nAnswer: -3, -0.18, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 16.\nAnswer: -4*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, k: 1, j: 2}. What is prob of sequence wk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361072 (base 8) in base 16?\nAnswer: 5e23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158\/3 + 52. Let t be (-2)\/(-8)*((-40)\/(-50) - 72\/40). Let x be (5\/4)\/(1\/(-4)). What is the closest to t in -0.01, x, r?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = 5. Find the third derivative of -6*c**6 + o*c**6 + 13*c**2 - 19*c**2 wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185549 - 185564 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(3) + -5 + 1*sqrt(3))*-4 - 4*(-2 + -1 + sqrt(3))**2).\nAnswer: -30 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 20*n + 43*n - 66*n + 57 - 309, -2*n = -3*x + 168 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7455 * 25027.\nAnswer: 186576285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -336*c**3 + c + 4*c**2 + 1 - 7*c**2 + 314*c**3 + (c - c + c**2)*(36 - 36 + 2*c) as n + t*c + r*c**2 + y*c**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*-1*sqrt(176))**2 - -5*(-1 + sqrt(891))*5.\nAnswer: 225*sqrt(11) + 6311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - 14.1. Let h = r - -1.8. Let a = -13.000092 - h. Round a to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4973959153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106829586?\nAnswer: 2, 3, 137, 43321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310 a factor of 42195416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-39)*((-21)\/(-8))\/((-1)\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b7 (base 15) in base 8?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 31.802?\nAnswer: 31.802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 511328478.5 to the nearest 10000.\nAnswer: 511330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1427774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*o + 1192 - 1191, -8*o - t - 1 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232\/685 + -1143784\/11645. Let m be (-8)\/10*(2072\/(-16) + 7). Let x = o + m. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 8*a**2 + 2*a + 6. Let u be w(-4). Let b = 1 - u. Suppose 3*o - 138 = -b*o. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0 - 1\/60*f**4 + 154*f**2 - 1\/1575*f**7 + 1\/300*f**6 + 0*f + 1\/450*f**5 + 0*f**3. Solve z(s) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38646 or -3?\nAnswer: 38646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(1100) + sqrt(1100) + -1)*3)**2 - (sqrt(1100) - (sqrt(1100) + 1 - sqrt(1100))*4)**2)*6.\nAnswer: -1680*sqrt(11) + 230960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 82952640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmj when four letters picked without replacement from {e: 2, j: 2, m: 5}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1275*m**3 + 6*m**2 + 13*m + 12. Let j be l(-2). Let a = j - -253. What is a rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011010110 (base 2) in base 12?\nAnswer: -555a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g**(-1\/4))\/(g*g**(-3\/2)*g**0))\/(g\/(g*g**2*g*g)*g**(-4))**34 assuming g is positive.\nAnswer: g**(3259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = -0*p. Suppose -5*c = 4*z - 8, 0 = -z + 214*c - 215*c + 2. Let q(v) = v**2 - v - 1. Let d(a) = -5*a**2 + 2. Determine p*d(h) + z*q(h).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 3. Suppose -63*u - 42 - 84 = 0. Let l(m) be the third derivative of 2*m**4\/3 - 7*m**3\/3 - m**2. Determine u*l(j) + 11*y(j).\nAnswer: j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - (-61 + -8)) + (0 - (1 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c**3 + 4315*c**2 + 3915*c + 710 = 0 for c.\nAnswer: -71, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1952 - 1946. Let t be 4\/(-20) - (6 + (-66)\/p). Let -36\/5*i - 4\/5*i**3 + 0 - t*i**2 = 0. Calculate i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287, -331, -375?\n\"Answer: -44*x - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let d(h) = 8*h. Let u(o) = -2*d(o) + 10*j(o). Determine u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177113625 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2475 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 58. Let o = n + -14. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13726844*c**3 - 399*c**2 + 309*c wrt c.\nAnswer: 82361064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515520203?\nAnswer: 11, 347, 135059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2516*s**3 + 356*s**2 + 17.\nAnswer: -15096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (7 + 15 + (-7 - 11))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 82 = 4*w - 27, 0 = -4*l - 20. Let q be (8\/(-16))\/((-2)\/w). Does 14 divide (q + 8)*2\/((-18)\/(-579))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1049*m**2 - 6*m + 2. Let j be n(1). Let f = j + 1055. Solve 3*a = f*u + 3, u = -4*a - a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/9)\/(k*((k\/k**(5\/4))\/k*k)\/k*k)*k**(-1\/4)*k**5*((k\/k**(-2\/7)*k)\/k)**(-13\/3)*(k**(2\/7)*k*k)**(2\/29) assuming k is positive.\nAnswer: k**(-427\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7341617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*c**3*k*r**2 - 3*c**3 + c**2*k + c**2*r**2 + 3*c*k*r**2 + 5*c*r + 6*c wrt r?\nAnswer: 50*c**3*k + 2*c**2 + 6*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016185 rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 + 2042*o + 90462. Determine a(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/7 + 116*i**2\/7 - 34*i + 120\/7 = 0.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + ((sqrt(180)*2 + -5)*-3 + 4)*3 + 0))**2.\nAnswer: -214272*sqrt(5) + 994624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (186 - 191) - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1089, 1096, 1125, 1188, 1297, 1464, 1701?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596.749644 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1028245*v - 2069657*v + 1041415*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 36 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus 27.1885?\nAnswer: 19.1885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + 2.1\nAnswer: 2.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -9. Let t(u) = u**3 + 4*u**2 - 2*u - 5. Let y be t(w). What is the greatest common factor of y and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 32. Let q be z(14). Let c = 9 - q. Solve 2*i = -4*l + 30, 3*i - 2*i = -c*l + 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*a - 228*a + 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2. Let i be g(-2). What is the third derivative of 6*r**4 - 4*r**4 + 8*r**5 - 2*r**i + 6*r**2 wrt r?\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 38*q**2 + 123*q - 4. What is k(41)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48684 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - (-108)\/(-63) - -8. Which is the closest to -2\/7? (a) o (b) 0.15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Is (r\/4)\/((-2)\/(-76)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10329, -10343, -10375, -10431, -10517?\nAnswer: -10639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 4. Let h(c) = c**2 - 7*c - 6785. Calculate h(n) + 7*j(n).\nAnswer: n**2 - 6757","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o - o**3 + 16*o)*(2 - 2 + 2)*(-3 + 0 - 1).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)*1)\/sqrt(9))\/(2*sqrt(16)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15838 + 19358. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121825349.\nAnswer: 17, 37, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21291 and 407247.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/11, -11\/356, 0, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30374 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049318926 rounded to six decimal places?\nAnswer: 0.004932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -47. Let k = x - 118\/3. What is the closest to 1 in -3, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by 13.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*t + 130*t - 2*g = 1418, 2*t - 932 = 4*g. What is the greatest common factor of 56 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3362 - -4899. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 7, w: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 + -237.2580748.\nAnswer: -236.1580748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12313 + 13671. Calculate the remainder when a is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/60 + -7 - 1\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, and 1 k when three letters picked without replacement from fhdmtftkhhhf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-15))\/((-10)\/15). Let t = w + 46. Calculate the remainder when t is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x + 12. Let l(w) = -w. Let q(n) be the first derivative of -n - 3 - 5\/2*n**2. Determine x*l(v) + q(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*y = 8, 0*y + 24 = o - 3*y. Let f = -197 + 438. Let i = -197 + f. Solve -5*b - i = 2*t - 13, o = -4*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620*o**2 + 0 + 0.\nAnswer: 620*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*u + 188. Suppose 4*a - u = -3. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 4 = -6*b. Let n(a) = 3*a**b - 6*a + 5 - 4*a**2 + 2*a**2. What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2408 and 15\/4?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.3 (c) -664\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -887*j + 777*j + 1 + 3 + 875*j + 1 as c + p*j and give p.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163205878*m**2 - 926*m + 61485 wrt m.\nAnswer: 326411756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5026, 2, 5 in descending order.\nAnswer: 5026, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4.2, 2, -3 in descending order.\nAnswer: 4.2, 2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13121 + -208658?\nAnswer: -195537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let p(i) = -i**3 - 10*i**2 - 4*i + 10. Let h be p(-10). Suppose -5*l = -v*l - h. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -998938 and 0.5.\nAnswer: -499469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x - 15 + 35 + 1100*x**2 - 20 - 1101*x**2.\nAnswer: -x**2 - 36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 24 = 67*n - 63*n, -w - 19 = 3*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 2)*(-5 + 18 - 8) + 7 + 3 + 21)*(-3 + 3 - 3*d) in the form f + j*d and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -367800 or -367799?\nAnswer: -367800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -194, -250, -306, -362?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 16*g + 3. What is the third biggest value in 0, -4, g, 0.07?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310 (base 4) in base 13?\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*135\/54\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.214, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*72\/(-450)*(-7 + 2). Let w = 6 + j. Solve -q = w, 17 = -2*o - 4*q - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y + 2*y**2 + 1569 - 1569. Let r = -17 + 20. Give l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -5. Suppose -f = 2*s - 15 - 4, h = -2*s + 5*f. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10220?\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 3, 0.1, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26389?\nAnswer: 11, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4 = -3*t - 3, -t - 5*y + 23 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 111. Let f(l) = -l**3 + 17*l**2 - 17*l + 10. Let u be f(p). What is the remainder when 2\/3 - 110\/u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618845 is divided by 5680?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -29*c**8\/168 - c**7\/105 - c**5\/20 + 51*c**4\/4 + c**2 + 109*c. What is the third derivative of p(q) wrt q?\nAnswer: -3480*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from llhxggggxllllxlyx?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y - 5. Let j(k) = -10*k - 12. Let f(v) = -v + 8. Let t(n) = 7. Let q(h) = 3*f(h) - 4*t(h). Let x(z) = 4*j(z) - 11*q(z). What is 6*s(i) - 7*x(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 9) to base 14.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 261261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10996650?\nAnswer: 2, 3, 5, 7, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47912750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 583146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104063801 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10068.8 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153090, 153080, 153060, 153024, 152966, 152880, 152760, 152600?\nAnswer: 152394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**5 + v**2 + v + 1. Let d(k) = k**5 + 2*k**2 + 4*k + 2. Let b = -4 - -3. Let g(z) = b*d(z) + 2*a(z). Find the second derivative of g(j) wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.82 - 0.18. Let v = -56 - -54. Which is the fourth biggest value? (a) z (b) v (c) -3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106\/9 - -536\/45. Is 1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 32*i**2 + 602*i - 78. Is c(21) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/2520*(-10)\/(-36). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -8307.\nAnswer: -8311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 + 2*(-2)\/6. What is the second biggest value in v, -2.5, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5375*y - 13978*y + 5289*y in the form g + v*y and give v.\nAnswer: -3314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17028286 + -33528286. What is z rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 6 + 11 - 46 as h*p + l + u*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**3))**(-6\/23))**50 assuming h is positive.\nAnswer: h**(900\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -25862483 less than -25862482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -170, -474, -1040, -1958?\nAnswer: -3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/9 - 67988*b**2\/9 + 7846270*b\/9 + 13643600\/3 = 0.\nAnswer: -34109, -5, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16897*m. Let u(a) = 503*a**2. Calculate x(u(b)).\nAnswer: 8499191*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 1. Let y be s(-2). Let x = 0.14 + -0.14. Which is the nearest to 0? (a) y (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 143, 340, 671, 1136, 1735?\n\"Answer: 67*l**2 - 4*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38*(-135)\/(-3420)*2\/(-11).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6308524*b**3*h + 4*b**2 + 66323*h wrt b.\nAnswer: 37851144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11110010011100100001001001?\nAnswer: 11110010011100100001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(61*n - 3*n - 22*n)*(6*n**2 - n**2 - 2*n**2) to the form b*n + a + t*n**3 + g*n**2 and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*n, 5*n - 29 = 3*l - 9. Let y(x) = -x**2 - 15*x. Let w be y(l). Suppose -5*g - 15 = 0, g = -4*u - w*g + 237. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1927\/5 + 389. Let i(m) be the first derivative of -27\/2*m**2 + 16*m**3 - 1\/2*m**6 + f*m**5 - 4 + 6*m - 21\/2*m**4. Factor i(y).\nAnswer: -3*(y - 2)*(y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10693522 to the power of 1\/2, to the nearest integer?\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 3*c - 163*c**3 - 4*c**2 + 137*c**3 + c**4 as k + p*c + o*c**3 + z*c**2 + g*c**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-3) - 12\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125952 and 2959872?\nAnswer: 5919744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 + 0*m**4 + 3*m**4 + (0*m**4 + m**4 + 0*m**4)*(0 - 1 - 1) + m**4 - 3*m**4 - 2*m**4.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvi when three letters picked without replacement from iofvfifonffovififff?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let t be l(2). Let v = -1.3 - -1. What is the closest to -0.1 in t, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-4))\/(p\/(p**(-1\/3)\/p)))**(3\/13))**50)**17 assuming p is positive.\nAnswer: p**(-13600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618201 is divided by 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-261)\/6*8\/(-12). Let s = b - 17. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from hmbbhbmmmhmhbdhmthdh?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b**4 - 85248*b**3 + 209*b - 1598 wrt b?\nAnswer: -180*b**2 - 511488*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {d: 6, e: 1, v: 2, a: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101.3591 + -1.0209. Let r = 103 + m. Let v = 1.52 + r. Round v to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 9*a. Sort a, 3, -4.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110683 (base 9) in base 16?\nAnswer: 113a5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 4. Put -1, q, -2, -5 in ascending order.\nAnswer: -5, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -12 - -3*1\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -51. Let h be 295 - 1\/(3\/(-6)). Suppose 0*d = 3*d - h. Calculate the greatest common factor of d and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 16*v**2 + 16*v + 46. Let i be h(20). Round i to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 2*c**2 - 1. Calculate i(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250791991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3636 (c) 4 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2)*116\/261\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2701 (base 8) to base 14\nAnswer: -773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*p**3*q*w**3 + 9*p**3*q*w**2 + 48*p**2*q - 4680*p*q*w**3 + 2*p*w**2 + 118*q wrt w?\nAnswer: 264*p**3*q - 28080*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9722869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/1 - (1 + 0). Let m(r) be the second derivative of -r**3\/2 - r**2\/2 + r. List the prime factors of m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89647915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 5*q**2 + 6*q + 14. Let k be l(-5). Let g be 27\/(-24) + 1 - (-78)\/k. Which is the closest to 3\/10? (a) -0.5 (b) -2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 - t. Let v(y) = 3*y**2 + 50*y + 28. Let s be v(-16). Let m(z) = 5*z**3 + 9*z**2 + 5*z. Give s*m(x) - 18*k(x).\nAnswer: -2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(272)*-1 - sqrt(272)) - (sqrt(272) - sqrt(272)*-1)*2 - (sqrt(272)*2*-3 + -5))**2.\nAnswer: 560*sqrt(17) + 53337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 10. Calculate w(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 divided by -8?\nAnswer: 163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -102 (c) 1 (d) 118 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**8)\/(v*v**(1\/25)))**(4\/3) assuming v is positive.\nAnswer: v**(796\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*x - 144, -11*x = -13*x + d + 106. What is the least common multiple of x and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/2 + 7090193*w**2 + 50270808416465*w\/2 - 100541730276050 = 0.\nAnswer: -7090195, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.8? (a) 13\/3 (b) -0.013 (c) 1 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -384217 take away -8?\nAnswer: -384209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 7*g**3 + 15860*g**4 - 15852*g**4 - 5*g**3 - g**2 - 1 to z + f*g**2 + m*g**3 + v*g**4 + p*g and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -11. Let x be t\/10*4\/6. Suppose 483 = 204*j - 129. Solve -3*v - 40 = -5*b, 0 = 4*v + x*b + j + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112101112021 - 0?\nAnswer: 112101112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + -12 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 151930.42 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.86457 times -1.9\nAnswer: 3.542683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66.98 - -66. Let q = 20.73471 - 21.7142. Let h = q - i. What is h rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 3*b - h - 5, h + 2 = 0. Suppose 5*d + 3*o = 9*d - 117, d = b*o + 25. What is the greatest common divisor of d and 260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198411.606 milliseconds in days?\nAnswer: 0.002296430625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*a - 68 = 0, k + 3*k - 82 = -2*a. Let z be 75\/k + (-12)\/(-28). Suppose -49 = -z*v - 1. Calculate the smallest common multiple of v and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 13*u**2 + 7*u - 7. Let b be n(-11). Let g(k) = -k + 1. Let w be g(-3). Suppose -102 = -w*a + b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 0*g + 6673*g**3 + 5157*g**3 - 2413*g**3 - 14*g.\nAnswer: 9417*g**3 - 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1 = -7*r + 3*r + 67 - 3, 0 = 3*r - 66 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1448, 1416, 1384, 1352?\n\"Answer: -32*y + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k**0)\/k)*k)**(-45))**(-2\/13) assuming k is positive.\nAnswer: k**(270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*w - 1265 = 3628 + 1958 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 180\/(-42) + 4\/14. Let d be (-1)\/(-3) + a\/(-6). Let z be (24\/(-18))\/(d\/(-3)). Let v(w) = -2*w. Determine v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4957 + 4944 + (1 - (1 + -5) - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = l + 24, 2*l + 2*r + 3 = 3*r. Let n be (55\/(-15) - -1)\/(126\/(-27)). Is n greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5846589 by 5459.\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (-2 - 3 - -8). Solve m = o*m + z - 6, 5*z = -4*m + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2469 - -1050. Let a = l - -2755. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 6*q + 5. Let m be b(6). Let n(d) = d + 3. Let r be n(-3). Suppose r = -m*l + 2*l + 12. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -740 - -636. Let q = p - -103. What is the closest to -2\/9 in 2\/11, -5\/3, 0.09, q?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -19. Calculate the remainder when ((-5)\/2)\/((-2)\/16) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 o, and 1 v when four letters picked without replacement from {d: 1, z: 7, o: 6, x: 2, v: 1}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwkh. Give prob of sequence hw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**4\/12 + 121*w**2\/2 - 3*w. Is x(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-255)\/(-87) + (-2)\/(-29). Let n be (3 - 0)*1 + 2. Let l(x) = -x**2 + 7*x + 6. Let s be l(8). Which is the closest to 0.3? (a) n (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o - 83*o + 3*o + 30*o + 23*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 8840.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 4*g**2 - 3*g**2)*(3*g**2 - g**2 - 3*g**2) + 5063*g**4 + 3481*g**4 - 6983*g**4 in the form y*g**3 + p*g**2 + x*g**4 + j*g + l and give x.\nAnswer: 1562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from lhw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*f + 0 + 0 + (-468 + 573 - 614 - 590)*((0 + 0 + f)*(-3 - 1 + 6) - 1 + 1 + f).\nAnswer: -3273*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 0*y + 2 + y - 611*y**2 + 612*y**2 + 2*y**4 to q*y**4 + d*y**3 + w*y + s*y**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 bigger than -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 253 = 847. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166904255.\nAnswer: 5, 7, 4768693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*y**5\/5 + 552*y**4\/5 - 23088*y**3\/5 - 82614*y**2\/5 - 9321*y\/5 + 49662\/5 = 0. Calculate y.\nAnswer: -89, -3, -1, 2\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3837.358km?\nAnswer: 3837358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 132 times 19602\nAnswer: 2587464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2\/5, -2656, 1, 9, -5, 5?\nAnswer: -2656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 871051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 5. Suppose -10 = -7*i + 32. Let o = 3 - -3. Let t(c) = -i*c - o - 2 + 2. Give 7*m(l) + 6*t(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091837321?\nAnswer: 1091837321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -73, 297, 1\/219, -0.4?\nAnswer: 1\/219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 17*w - 43. Suppose -4*l - 2*g = -6*l + 26, -3*g = -18. Determine c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -20701 (c) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 28*a = -205*a - 433*a. Factor 1\/3*x**2 + 4*x + a.\nAnswer: x*(x + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**5 + 296*q**4 - 1390*q**3 - 12697805*q**2 wrt q.\nAnswer: 300*q**2 + 7104*q - 8340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 11. Let r be -1 + 0 - v\/(-2). Let f be r\/15 + 18\/5. Solve 0 = -5*c - f + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:04 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/36 - (-152)\/(-36). Is (6295\/10)\/((-2)\/t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17650 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = j + 4, 0*o - 25 = 4*j + 5*o. What are the prime factors of (-1)\/j + (-328)\/(-10)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22e98 (base 16) in base 10?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**3 + 12*x**2 + 5*x + 5. Let b(o) = 8*o**3 + 13*o**2 + 6*o + 6. Determine 5*b(y) - 6*m(y).\nAnswer: -2*y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/608*40\/170)\/(1\/(-6)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s + 33. Let j(p) be the first derivative of -p**4\/4 - 5*p**3\/3 - 5*p**2\/2 - 5*p + 1. Calculate the remainder when j(-5) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 + 3*s**4 - 12*s**3 + 4*s**2 = 0. What is s?\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = -25. Let l = 61\/2 - a. Find w, given that 0 + 1\/2*w**2 + w - l*w**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/15 + 163310044*s\/5 + 10001313926730726\/5.\nAnswer: 2*(s + 122482533)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*((sqrt(85) - (sqrt(85) + (-3*sqrt(85) - sqrt(85))))*-4)\/sqrt(5).\nAnswer: -64*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 49*i + 117. Calculate j(42).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -7)*(45\/(-20) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*b - 70 = -120*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.10317622 times 7\nAnswer: -7.72223354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 p when three letters picked without replacement from gpggeepgyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 10*x**2 - 20*x - 167. What are the prime factors of y(-30)?\nAnswer: 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744824.4 decades in years?\nAnswer: 7448244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let y = -0.038 - 1.822. Let p = 0.14 - y. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ccrccccccr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**(-22))**(-1\/13) assuming h is positive.\nAnswer: h**(44\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 4*z**2 - 3. Let a be v(3). Let q = a - 44\/3. Let n = -48 - -52. Put q, n, 3 in descending order.\nAnswer: n, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2897305758 to the nearest integer?\nAnswer: 53827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87965057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 471 + 1204. Let k be g\/15 - (-1)\/3*1. Suppose 2*z + 0*z - 329 = -3*c, 0 = -2*c - z + 220. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvdtttddvdd. What is prob of sequence dtd?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -4, -33, 17, 1.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 61. Let i be l(-15). Which is the nearest to -0.2? (a) i (b) 2\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 8:41 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/18*(-2)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, 0, -1 in increasing order.\nAnswer: -176, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 4:34 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - -8?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5*m - 8)*((0 + 3 - 2)*(0 + 2 + 0) - 3 + 0 - 10)*(25*m + 35 - 35).\nAnswer: 1375*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -16 (c) 1\/2 (d) 1 (e) -2775 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s**4 - 37*s - 6. Let z(d) = -13*d**4 - 37*d - 7. Let x(u) = 7*l(u) - 6*z(u). What is the second derivative of x(g) wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*q**4 - 25*g**2*q**2 - 1295*g**2*q + g*q - 79267115*q**5 + 2*q**2 - 3*q wrt q.\nAnswer: -48*g**2*q - 4756026900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjztzzjjjzjjjjjja. Give prob of picking 1 t and 1 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t - 5. Let u(o) = 4*o + 3. Let s(j) = -10*u(j) - 6*z(j). Let f be (9 + -5)*2\/4. Let c(w) = -3*w**2 + 14*w**f + w**2. Give s(c(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22311 - 1130111112?\nAnswer: -1130022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 7:56 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2) + 1 + -5 - (sqrt(2) - (sqrt(2) + 1))*3)**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*u**3 + 23*u + 2 + 149*u + 126*u**3 - 41*u**3 - 45*u**3 as y*u**3 + t*u + c + m*u**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2607*g + 2. Let l(f) = 96420*f - 75. Let v(q) = -2*l(q) - 75*n(q). Let b(t) = t. Determine v(b(z)).\nAnswer: 2685*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**3 - 3*f**2 + 4*f + 1. Let i = 4 - 0. Let r(d) = -11*d**3 + 6*d**2 - 9*d - 2. What is i*r(o) + 9*w(o)?\nAnswer: o**3 - 3*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 + 894*t - 22080. Calculate q(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*p**4 + 21*p**2 + 155*p**4 + 33*p**6 wrt p?\nAnswer: 3960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -21. Suppose 2*f = u, -3*q + 124 = -q + 4*f. Suppose -q*o = -62*o + 116. Calculate the remainder when o is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) - (sqrt(704)*-2 + 0)))*1.\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(99)*3 + -5 + sqrt(33)\/sqrt(3))*6 + (sqrt(539) - (2 + sqrt(539) + -2))*2)*2)**2.\nAnswer: -14400*sqrt(11) + 162005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - 118*o - 129. List the prime factors of i(46).\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 63. Let g be u(0). Suppose -g = -2*r - 3*b, -2*r + 2*b + 0*b = -38. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.6 + 20.6. Sort 1\/2, -0.1, j, -1\/2.\nAnswer: -1\/2, -0.1, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = 75*a. Solve 5*o + 2*g = 2*o + 16, a = 5*o + 4*g - 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2998, 2994, 2992, 2992, 2994, 2998?\nAnswer: 3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 54, 18, -44, -138, -270, -446, -672?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {l: 1, q: 3, f: 1, j: 5, r: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1)\/(2\/22). Let x = 40 + a. Let k = x + -3. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69688*v + 34803*v + 35076*v.\nAnswer: 191*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1141482 by -2166.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, -10.4, 0.65, 4 in ascending order.\nAnswer: -10.4, -0.22, 0.65, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + x)*(x - 2*x**2 - x) - 11*x**3 - 5*x**3 - 2*x**3 + (-4*x**2 + x**2 + 4*x**2)*(0*x + 2*x - 3*x) - x**3 + 5*x**3 - 2*x**3.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 10*p - 7. Let n be g(-12). Let f = n + -13. Solve -2*c + 4*c + f = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.4143279 rounded to 1 dp?\nAnswer: 58.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 0*v - 5*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4444*d - 1472*d + 27338 = -20297 - 35581 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3105 - ((1 - 11) + 5). What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27210555 (base 8) to base 13\nAnswer: -1357278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 618 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 + 75*r**2 - 399*r - 16139. Determine u(-37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 3. Let u be r(-10). Suppose 5*h - u = -2*o, -4*h + 5*h + 7 = o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from badbbffbbfdd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**3 - x. Let b be d(-1). Let r = b - -25. Let v = r + -17. Solve -3*o + i = 5*i - 8, 3*i - 31 = v*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -622*y - 20. Let d(a) = -3112*a - 94. Give -3*d(v) + 14*w(v).\nAnswer: 628*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3191 * 12.8.\nAnswer: -40844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -33608.8816 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * -0.0355.\nAnswer: -1.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -559*c**3\/6 + 280*c**2 + 2882*c. What is the derivative of k(o) wrt o?\nAnswer: -559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1655)\/(-45) - 8\/(-36). Suppose -r*q + 44*q = 21. Let f(d) = 2*d - 6. Determine f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (530\/2332)\/(15\/48)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.51748 months in years?\nAnswer: 22.70979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 9 - 36. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285\/380 - (-19)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyytytyytyy. Give prob of sequence tyyy.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - -6. Suppose 4*z - 5 = 5*x, -w = 3*z + 6*x - x. Sort -2, -4, z in ascending order.\nAnswer: z, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n**2 + 8*n**2 - 7*n**3)*(3*n - 4*n - 4*n) in the form p*n**3 + l*n + i*n**2 + g + y*n**4 and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 + 51 = 0. Calculate the greatest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 + b - 2. Let g = -252 - -366. Suppose -2*w - 24 = -g. Let f be (42\/w)\/7 + (-88)\/(-15). Calculate r(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199246473 - -111490?\nAnswer: -199134983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 3*t + 2*t + 3*t - 2*t + t + (0*t + t + 0*t)*(-5 + 3 - 2) + 5*t - t - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 42*f + 1. Let d(n) = 4*n - 2. Let b be d(3). Suppose 4*k - b + 6 = 0. Is o(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 8. Let z(d) = 3*d**3 + d**2 - b*d**3 + 500 - d + 2*d. Let x be z(0). What is x rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/5 - 219*k**4\/5 + 3162*k**3\/5 + 30264*k**2\/5 + 13056*k + 7680 = 0 for k.\nAnswer: -4, -2, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 11*o + 6. Let v be m(9). What is the second derivative of 12*c**5 + 615*c - v*c + 10*c**5 wrt c?\nAnswer: 440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586562 (base 11) to base 2.\nAnswer: 11100011010011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*p + 895 = -52*p - 275 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**7\/4200 + o**6\/300 - 3*o**5\/200 + o**4\/30 + 26*o**3\/3 - 14. Let x(j) be the third derivative of b(j). Factor x(c).\nAnswer: -(c - 4)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 - 5*t + 2. Let n be b(-4). What is the third derivative of 3*a**2 - a**6 - a**6 + a**2 + 7*a**n wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204)*-3 - sqrt(204))\/sqrt(12) + 1.\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73614781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-2)*40\/20. Let h = -28 + l. Let y(s) = -5*s - 4. Let d(o) = 6*o + 5. Give h*y(p) + 3*d(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 - 115*t + 16. Determine g(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3063.7862976 + 13607\nAnswer: 16670.7862976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1158, -1145, -1134, -1125, -1118, -1113, -1110?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {v: 4, p: 1, r: 5, h: 2, x: 1, t: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24.9 and -0.3.\nAnswer: 7.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 990, 6886, 21994, 50640, 97150, 165850?\n\"Answer: 721*z**3 + 280*z**2 + 9*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 5*a**7\/42 - 5*a**6\/6 + 3*a**5\/4 + 25*a**4\/12 - 10*a**3\/3 - a + 20. What is k in z(k) = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8560 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(2\/7)\/u)*u*u)**(2\/25)\/(u**(2\/3)*u*(u\/(u**(2\/7)*u)*u)\/u))\/((u**(-2\/7)*u**(-1\/2)\/u*u*u)\/(u**(-2\/13)\/u*u*u\/(u\/u**(-4)))) assuming u is positive.\nAnswer: u**(-73327\/13650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v - 4*v)*(-188*v**2 - 487*v**2 - 41*v**2).\nAnswer: 5012*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 4. Find the first derivative of -1 + 2 + 0*r**x + 0*r**4 - 3*r**4 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f - 239*f**2 - 11*f - 10*f.\nAnswer: -239*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49591971 divided by 99.\nAnswer: -500929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001011101100110011 + 10?\nAnswer: 110000001011101100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*f + 31, 5*g = 5*f + 3*g + 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4\/3 - 14*v**3\/9 + 2*v\/9 = 0.\nAnswer: -1, -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, u: 4, c: 4}. Give prob of sequence ccb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28683*y**3 - 694 + 692 - 11015*y**3.\nAnswer: -39698*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 41\/5 of a millimeter?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2))\/(8\/66*1539\/(-684)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4317511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/6)*i)\/i)\/(i*i**(1\/18))*(i*i**(-2))**(-25) assuming i is positive.\nAnswer: i**(226\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q - 21. Let z be m(3). Is 3 a factor of z\/2 + 114*(-1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 775, 1987, 3581, 5557?\n\"Answer: 191*u**2 + 639*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-15)\/g*(g*g**(-8)*g)\/g)\/((g\/((g*g**(-1\/16))\/g))\/((g*((g\/g**(-1\/3))\/g)\/g)\/g)))**(1\/3) assuming g is positive.\nAnswer: g**(-1187\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)\/(3\/(20 - -1)). What is the remainder when 161 + i + (-3)\/(-4 + 1) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1344 + -1346. Let g(d) = -4*d**2 + 28*d + 25. Let r(l) = -7*l - 5 - 1 - 2*l**2 + 3*l**2. Let v(k) = a*g(k) - 9*r(k). Determine v(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600009119 to the power of 1\/2, to the nearest integer?\nAnswer: 24495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 5*k + 5 = -33*t, 5*t + 2*k = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49114922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*y + 20, 5*y = 20*k - 21*k + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 400\/2831, -1\/6, -1 in ascending order.\nAnswer: -1, -1\/6, -2\/21, 400\/2831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f + f + x, 3*x = 4*f - 2. Suppose -f = -2*d + 6. Let p = -41 + 47. Solve 0 = -d*n - p + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -514354\nAnswer: -1028708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 6*l. Let d(c) = -5*c**2 + 25*c + 1. Let p(v) = -2*d(v) - 9*k(v). Determine p(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*y + 15 = -2*y, 4*y = 0. Let t(l) = -g - 3*l**3 - l + 2*l**2 + 4*l**3 + 4*l**2. Is t(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 12, -14, -50, -96, -152, -218?\n\"Answer: -5*r**2 - r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-150)\/35 + (-4)\/(-14). Suppose u = -15*x + 1939 - 484. What are the prime factors of x?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*u**5 + 2*u**3 + 83279*u**2 + 817831*u + 12.\nAnswer: 460*u**3 + 12*u + 166558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2057)*1*5.\nAnswer: 165*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-12 + 20 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from cuummc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 + -0.16. Which is the closest to s? (a) 0.3 (b) 0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2948*d**2 - 34*d**3 + 1 + 1479*d**2 + 1469*d**2 - 1.\nAnswer: -34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -15. Solve -2*t - 4*a + 20 = t, -a + 10 = z*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 8*c + 1. Give g(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(147) - sqrt(15)\/((sqrt(220) - sqrt(55))\/sqrt(11))) + -4)**2 + 1.\nAnswer: 344*sqrt(3) + 5564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 9533950.\nAnswer: 19067900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 853916, 853939, 853984, 854057, 854164, 854311, 854504, 854749?\n\"Answer: i**3 + 5*i**2 + i + 853909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-78))\/((-520)\/195))\/(1\/8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v + 272 + 412 = -2*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (24\/72*8)\/(20\/315)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*d = 697*d + 754*d - 35394 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(1*1\/(-5)). Let w be (-15)\/200 - 2\/x. Let t = 11587.5 + -11587. Which is the fourth smallest value? (a) 5 (b) -0.2 (c) t (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100010 (base 3) in base 2?\nAnswer: -1001000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(-3 - 2 + 3)*(20*u - 30*u - 101*u + 2*u + u - 2*u + (-2*u - u + 2*u)*(4 - 1 - 4) + 2*u - u + u) to d*u + y and give d.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p + 51 + 2*p - 90 + 50. Is a(5) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - (1 + -3). Suppose -198 = -3*v - k*h - 23, 4*h + 200 = 4*v. Let z = 24 + v. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112\/125271 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + (sqrt(13) + 5*(sqrt(208) + sqrt(13)) + 3 - 3*(sqrt(13) + 0 + sqrt(13) + -1 + sqrt(13))) + 1)**2.\nAnswer: 170*sqrt(13) + 3782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 5602084*f - 5602082.\nAnswer: -2*(f + 1)*(f + 2801041)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/17, 1.6, -1.19, 4, -1\/2 in ascending order.\nAnswer: -1.19, -1\/2, 2\/17, 1.6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12578 + 12580. Sort -5, -1, 5, m, -54 in ascending order.\nAnswer: -54, -5, -1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 168*a - 5. Let o(l) = -6175*l. Give o(t(x)).\nAnswer: -6175*x**2 + 1037400*x + 30875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2468641 = 2468504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2028688 = 49*k + 2027855 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341424301 (base 5) to base 16.\nAnswer: 171b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let f(z) = -2*z + 1. Let g = 27 - 12. Suppose -t - g = 2*t. Determine t*h(v) + 2*f(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -42. Suppose u = 6*d + 1. Let z be -3 - (-3 - d) - (-1 - -1). Solve -t = z*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1320233 divided by -2.\nAnswer: 1320233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 - 76 = 88*w + 41 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5281 - 13381. Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**4 - u**2)*(6 - 2*u - 6).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 185\/3 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r**(-2\/7)\/r))*r)**29*r**7*r**(-4) assuming r is positive.\nAnswer: r**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56242891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16418978.\nAnswer: 2, 8209489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -5*r**3\/6 - 23*r**2 - 10*r + 2. Calculate the smallest common multiple of 9 and s(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9516, 0.3, 16 in ascending order.\nAnswer: 0.3, 16, 9516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -423, -634, -845, -1056?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-5984))\/(23\/((-3519)\/(-27)))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159124817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1363 (base 9) in base 12?\nAnswer: -719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/60 + v**4\/6 + v**3 - 114*v**2. What is h(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 90?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -5\/6, 0.4, -3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302840 = -2730*w - 1066*w - 724*w for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 469 + -427. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3398, -6866, -10334?\nAnswer: -13802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35640 and 2610?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5 + 297647*i**4\/2 - 24565505*i**3\/2 - 42502467*i**2\/2 - 10117881*i\/2 + 3760722 = 0. Calculate i.\nAnswer: -29847, -1, 3\/10, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 6 + 46*y - 1 - 2 to the form q*y + m and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22978 and 3.\nAnswer: 22981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 19, 50, 97, 166, 263, 394?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 + 3*c - 4. Let h(l) = -24*l**3 + 24*l - 33. Suppose s - 3 = -k, -103*s + 99*s - 5*k + 11 = 0. Give s*h(v) - 33*b(v).\nAnswer: 3*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 551794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 4609836?\nAnswer: 4609836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -24, 651, -2 in decreasing order.\nAnswer: 651, -2, -22, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42435821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:25 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1 (c) 87.434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 601 = 812 - 441 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/8*-211*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4 + 7550*f**3 - 2*f**2 + 2*f + 435.\nAnswer: -48*f + 45300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -462*x**2 - 501*x + 3. Let s(y) = 11*y**2 + y - 1. Let m(q) = b(q) + 3*s(q). Find the second derivative of m(z) wrt z.\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 0, 15, 323\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1121289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 6*o**3 - 13*o**4 - 6*o**5 + 2*o**3 - 2*o**4.\nAnswer: -3*o**3*(o + 2)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.119, -0.4, 0.06, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -c + 230, 19 - 65 = -q + 4*c. Calculate the remainder when q is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170727 to the power of 1\/2, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 355*s - 692 wrt s.\nAnswer: 355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -191*a*m**3 + 29723*a - 22*m**3 wrt m?\nAnswer: -573*a*m**2 - 66*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/45*(10 - (-177)\/(-15)). Let g be -1 + (5\/(-2) - -2). What is the nearest to s in g, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2199267501550160.9999758 + 2199266803573089. Let y = w + 697977177. Let u = y - 105. What is u rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(72\/132)\/(-1).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 1. Let s be (1 + -1)*1\/(12\/4). Let r(i) be the third derivative of 1\/4*i**4 + s + 0*i - 2*i**2 - 5\/6*i**3. Give -10*j(l) - 2*r(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49386679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-4)\/15*(-270100)\/5840.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -14. Suppose -p*v - 8 = -4*h, 4*v + v = -h - 23. Let o be -2 + 1 + (h - 35\/(-8)). Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x - 11. Let d(t) = 2*t - 1. What is -2*d(s) + u(s)?\nAnswer: 4*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*t**5 + 329*t**4 + 509*t**2 + 476*t + 237231.\nAnswer: 2980*t**3 + 3948*t**2 + 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 11. Is d a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17242 divided by -6733\nAnswer: -17242\/6733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 209? (a) 4 (b) 1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12341\/2 + -6170. Which is smaller: -0.061 or k?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose 0 = 2*w - 3 - 3. Find the third derivative of -2*z**3 + p*z**2 - w*z**2 + 0*z**3 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10441036 or 9\/2?\nAnswer: 10441036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 32. Suppose 3*k = 31 + v. Calculate the remainder when (-450)\/(-8) - 1\/4 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -5*z, 3*z + 0*c = c - 2. Let s(q) = -q**2 - 5*q + 9. Let x be (1 - -1 - 3)*7. Let n be s(x). Sort z, n, 1 in decreasing order.\nAnswer: 1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s**3 - s**2 + s + 2. Let o be l(-1). Is -4*o\/(-16) - -386 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 304684488?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1149? (a) 32 (b) -4 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -46*u**3 + 23*u**2 - 23*u. Let k(x) = -5*x**2 - 3*x - 2. Let g(h) = -7*h**2 - 5*h - 3. Let c(y) = 2*g(y) - 3*k(y). Give 23*c(j) - l(j).\nAnswer: 46*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54273 is divided by 18087?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55398, -55395, -55392?\n\"Answer: 3*a - 55401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 0.04, 36?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/4 - 482255*w\/4 = 0.\nAnswer: 0, 482255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1468, 1645, 1826, 2011, 2200, 2393, 2590?\n\"Answer: 2*x**2 + 171*x + 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33053 - -2.66947. What is the smallest value in -24, -1.3, p?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 46. Give m(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p. Let d = -18 + 20. Suppose 3*r = -3*y + d*y + 11, -3*r + 10 = 2*y. Let o(m) = -r*m - 7*m + 13*m. Calculate q(o(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 44*p - 165. Suppose 0 = -12*t - 55 + 259. Let x be q(t). Solve -6*d + 2 = -4*u - 4*d, -x*d + 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(6\/5)\/(c\/c**(-2\/5)*(c**(-6)\/c)\/c) assuming c is positive.\nAnswer: c**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20526282 to the power of 1\/2, to the nearest integer?\nAnswer: 4531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 575*c + 34528. What is t(51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5844960 and 2583.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = r, -3*l + 4 = r - 3*r. Suppose -h - h - 12 = -4*n, r*n - 8 = 3*h. Find the second derivative of -105*p**2 - 2*p + 6*p**h + 105*p**2 wrt p.\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(16 - (29400\/1776 + (-6)\/111))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. Solve -n + 2 = -k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-50)*6*(8 + -11). Factor -l - 3\/5*f**3 - 33\/5*f - 19\/5*f**2.\nAnswer: -(f + 3)**2*(3*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guwqwguqq. What is prob of picking 2 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -100240.\nAnswer: -1\/7160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*v + 7 = 2*s, -2*s - v = -3. Solve -s*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*c + 26867 = 0, -1 = 3*c + 11. Let o = -4393 - u. Let v = -156277\/16 - o. Calculate the common denominator of -125\/12 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.2 (b) 0.4 (c) -4\/9 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -30, 3 in decreasing order.\nAnswer: 9, 4, 3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 83160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 26. Calculate the lowest common multiple of v and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5923, 11869, 17805, 23725, 29623, 35493, 41329, 47125?\n\"Answer: -j**3 + j**2 + 5950*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-286)\/33)\/(-13)*21*2\/8.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130113490 less than or equal to 130113490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2. Let x(r) = -33*r**2 - 20. Let w(s) = 64*s**2 + 34. Let t(v) = 3*w(v) + 5*x(v). Give t(y(u)).\nAnswer: 1323*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 24. Let i = n - 23. Let u = -3 - i. Solve u*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -157, -0.4, -3663?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 - 3. Let u = 261.1 - 261. Which is the nearest to w? (a) -4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 905*o - 13145. What is the thousands digit of i(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 + -38589?\nAnswer: -38641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25641, -51541, -77441, -103341, -129241, -155141?\n\"Answer: -25900*m + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114414*x**2 - 20222559*x**2 - 9790627*x**2.\nAnswer: -28898772*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.18727 from -0.4.\nAnswer: -0.58727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 19 = 3*r - 18, -4*r = 5*i - 50. Let o = 21 - r. Calculate the greatest common factor of 30 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2. Let y(p) = -85*p**3 + 49*p**3 - 6*p**2 + 41*p**3. Let f = -5 + -1. Calculate f*g(x) + y(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112222021 - 30?\nAnswer: 112221331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2206 + 2205. Put -4, 59, a, -2\/7 in decreasing order.\nAnswer: 59, -2\/7, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -6. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111658538.\nAnswer: 2, 167, 181, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 14. Let t(f) = 2*f + 7. Let k(p) = 4*h(p) - 7*t(p). Differentiate k(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*l - 6*i + 2*i, l = -2*i + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 3*f, d = -f - f + 10. Suppose d*u = 4*z + 46 - 14, 3*z + 15 = 0. What is the least common multiple of u and 13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -68)\/(-8) - -418. Suppose -28*c - 13*c = -p. Calculate the greatest common factor of c and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 302*k - 109*k - 13*k**2 - 100*k - 99*k in the form v*k**2 + z + m*k and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*k**3 + g*k**2 - 24567*g - 6400*k**3 wrt k?\nAnswer: -6*g - 38400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 2268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -23*g**2. Let m(l) be the second derivative of -7*l**3\/6 + 90*l. Give m(a(n)).\nAnswer: 161*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -962 - -2097.8357\nAnswer: 1135.8357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p**2 - 3*p + 4*p + 12*p**2. Does 10 divide x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48162 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*k**2 + 119*k**2 - 51*k**2 + 15*k.\nAnswer: 5*k*(2*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 4*n**2 - n + 1. Let m(u) = 5*u**2 + u - 3. Let t(d) = -4*d**2 + 4. Let w(f) = 3*m(f) + 4*t(f). Let v be w(5). Determine a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10110100011?\nAnswer: 10110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/8 in -5, -0.4, 10972, 2\/25, -4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.8 - 30. Let o = i - 2.87. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608.0068 rounded to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42728 is divided by 224.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 168*u**2 + 9*u + 540. Calculate the remainder when 220 is divided by m(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16247625, -16247629, -16247633, -16247637, -16247641?\nAnswer: -16247645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = 5. Let g be 1\/1*m - -30. Let a be 4\/g + 29360\/136. Calculate the greatest common factor of 27 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - 279\/36. Let d = t - -5. Is d != -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 517*i**3*j**6 + 75*i**3*j**3 - 1710*i**3*j - 2*i**2*j**2 wrt j.\nAnswer: 62040*i**3*j**3 + 450*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14754 - 295013\/20. Let t be (0 - 280\/(-16))\/((-2)\/(-4)). Calculate the common denominator of i and ((-101)\/8)\/(t\/20).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -3\/8, 1519?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (328*t + 378*t - 51*t)*(-4*t + 3*t + 0*t)*(0 + 0 + 2 + (0 + 0 + 2)*(0 - 1 + 2) + 4 + 1 - 2) to p*t**2 + f*t + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a4f - 2?\nAnswer: -8a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55135314 = 126*r + 34261833 - 44410521. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 4 + 0 + -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 90. Suppose -4*o = 12, 4*o = -3*h + 7*o + 9. What is the remainder when l(h) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a kilometer in meters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -473, 1\/4 in decreasing order.\nAnswer: 4\/3, 1\/4, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 0.04 (b) -0.5 (c) 0.13548 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 33 (b) 0.02 (c) -9 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 4*c**2 - 2*c + 1. Let v be p(3). Let a(k) = v*k + 0*k - 7*k. Let z(s) = -2*s. Give a(z(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 2274*z**2 + 1312*z - 1491737. Calculate k(1137).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.6. Let g = -0.7 + v. Let n = g + 0.5. Which is smaller: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26706 divided by -1?\nAnswer: 26706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from poqlfopf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3\/7, 0.2, 30?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 20 = -2*i - 9 - 4 - 15, -420 = 21*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 17. Suppose -5*u = -3*z + 4, 4 = -16*u + 20*u. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.1 (b) 2.9 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*h + 663*h - 334*h.\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/30 + d**3 - 8*d**2 - 52. Let y(k) = k**2. What is y(c(l))?\nAnswer: 4*l**4 + 24*l**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 49*t + 248. What is x(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69.58 - 113.58. Is -6.1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3653 is divided by 305.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from mlyvvvvymlyiylzzii?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838 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 g = 1212.00082 - 1212. Round g to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 5. Let v be i(-9). Suppose -v - 3 = -4*o. Let f(g) = -2*g**3 + g**2 + 2*g + 1. Let l be f(-1). Solve -4*r - l*m = 8, r - o = -m + 2*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 10*b - 1, -2*v = -4*b + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001630321 to 6 decimal places.\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678599.8 less than 0.023971?\nAnswer: -2678599.776029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 79929.59t?\nAnswer: 79929590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/3))\/d*d*d**0*(d**(1\/3))**(-30))\/((d*d\/d**(-5)*d)\/d**(-5\/6)*(d**(2\/5)\/d*d)**(-40)) assuming d is positive.\nAnswer: d**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6065 + 4077. Let s = o - -2807. What is the highest common factor of s and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -3\/10*d**5 - 1\/112*d**7 - 8*d - 1\/4*d**4 + d**3 + 3*d**2 - 7\/80*d**6 + 0. Factor t(a).\nAnswer: -3*(a - 1)*(a + 2)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5333236.\nAnswer: 2, 71, 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 + -8 - -7) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2 + 4*z + 2. Let p(y) = y**2 - 3*y + 1. Let f be p(3). Suppose 0 = r + f + 2. What is c(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, 5 in increasing order.\nAnswer: -13, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32264 is divided by 250?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -29\/5106?\nAnswer: -29\/5106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 = -3*g + 12, 4*g - 2 = x. Suppose 4*l - l - 5*t - 43 = 0, g = l + 2*t - 18. Calculate the remainder when 41 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*a - 3 + 3\/8*a**2 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 10 + 2*l**3 - 33 + l to h + j*l**2 + x*l**3 + q*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 552*t**5 + 4599*t**3 + 11*t**2 - 84771?\nAnswer: 33120*t**2 + 27594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 + 224*o**4 + 3748*o**3 + 17432*o**2 + 31600*o + 20000 = 0. What is o?\nAnswer: -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12db0 - 4?\nAnswer: -12db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72 + 9 + -3 - (13 - 22)) + 8 - -9.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 1 + -3 + (-6)\/(-2). Let z(b) = b**2 - 4*b + 3. Calculate the smallest common multiple of 14 and z(k).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/54 + (-60)\/54?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1488 or 1512?\nAnswer: 1488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 9*h**2 - 3*h + 5. What is j(9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6996250647845.1 and -0.4.\nAnswer: -6996250647845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 88. Let o = g + 65. Let b(l) be the second derivative of l**5\/20 - 5*l**4\/12 + 7*l**3\/6 - 3*l**2 + 5*l. Calculate b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 5*f - 3. Let m be l(-2). Let r(w) = -w - 3 - w + 22 + m*w. What is the tens digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 11 - 17*l + 3 - 99*l in the form m + i*l and give i.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {o: 2, e: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccy when three letters picked without replacement from {y: 5, c: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43451868 and -12?\nAnswer: 43451880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 101. Calculate the remainder when (-6780)\/r + (-2)\/(-10) is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -139, -0.1, -6, 2, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12554633 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30529579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2184000 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n - 48 = -50*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -1563805?\nAnswer: 70371225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 7*c - 65 = 4*y + 8*c - 35, 134*c = -3537 - 483 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(0 + (-3)\/4). Let j(q) = 9*q**3 - 13*q**2 - 3*q + 2. Let i(p) = -5*p**3 + 7*p**2 + 2*p - 1. Let l(h) = 11*i(h) + 6*j(h). Determine l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7*g + 19 = 0, -4*g - 36 = 4*i - 8*g. What is the second smallest value in -1\/5, i, -2, -2.06?\nAnswer: -2.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 11)\/((-4 + 2)\/2). Let y(x) = -5*x + 14. Let t(p) = -5*p + 14. Let h(f) = l*y(f) + 4*t(f). Is h(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/153*-9 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - j = 14, -5*q = j + 3*j - 48. Let p(c) = -q - 5*c**3 - 12 + 21. What are the prime factors of p(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1349.7 + 231.7. Let k = l - -1117.453. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(21\/(-3) - 3) - 0. Let d = r + -12. What is the hundreds digit of (-4)\/66*3 - 3326\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0 + 2*l - 9 + 0 + 1. What are the prime factors of x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p - 27. Suppose -w = -p*w + 155. Let d = w - 19. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**6\/6 - 8*z**5 + 265*z**4\/2 - 960*z**3 + 6885*z**2\/2 + 4*z + 350. Let k(w) = 0. What is w?\nAnswer: 3, 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 27 - 17 = 0. Suppose 5 = -5*k, 4*f - 6*f = -s*k - 12. Solve 2*i - 16 = 3*x - 2*i, 0 = x - f*i + 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/246, -0.05, -328 in ascending order.\nAnswer: -328, -0.05, 1\/246, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 - 108 = 0. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 7:15 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -78*a - 347. What is the tens digit of p(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080100677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/44? (a) -2 (b) 87 (c) 4 (d) -19 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/3 + 148*g**4\/3 + 1874*g**3 + 10804*g**2\/3 + 5329*g\/3.\nAnswer: g*(g + 1)**2*(g + 73)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/30 - r**4\/12 - r**3\/6 - 6*r**2 + 82. Let t(k) = -k. Suppose 27 = -3*s - 5*l - 1, l + 6 = -s. Give s*m(x) + 2*t(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -969\/2, 0.0374, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 961578 + 206831386?\nAnswer: 207792964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 231 (b) -6 (c) -52 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 5763666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139553 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*l**3 + 3690885*l**2 - 1342200*l + 122020 = 0 for l.\nAnswer: -6101, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 6*f**2)*(3*f**3 - f**3 - 4*f**3 + (-1 - 2 + 5)*(-8*f**3 + f**3 - 6*f**3)).\nAnswer: 168*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.377244 hours in nanoseconds?\nAnswer: 19358078400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/19 - 9132*k**2\/19 - 54640*k\/19 + 19200 = 0. What is k?\nAnswer: -4560, -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/30 + 2*o**2 - 11. Let x(a) = 27*a - 1. Calculate s(x(i)).\nAnswer: -1458*i**2 + 108*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15940\/32 + ((-3)\/1)\/24. Suppose 0 = -7*x + 1903 + n. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115.9 + 116. Which is smaller: 32.8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304656508?\nAnswer: 2, 13, 53, 110543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 110 = 3*q. Let n = -20 - q. Suppose -n*l + 24 = 8. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-12))\/(3\/30). Sort 5, 3, p in ascending order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 6 - (-45)\/1. Let u be 4\/(2 - 80\/p). Let v = -5 + u. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -858 < 1193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 42 = -4*o, -2*o + 3*g + 16 = -g. Suppose 3*i = 4*s + 21 - o, i = 4*s + 1. Solve -i*p = -8*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113003 - -132?\nAnswer: 113140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -3*h**2\/2 - 18*h - 14. Let p be f(-10). Is 4\/p*-3 - -32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/4 + -2)*-49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**2 - 6571195*b + 19713540 = 0.\nAnswer: 3, 1314236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 19*w + 317 + 337 - 654.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i + 4. Let q(g) = 6*g**2 + 20*g - 11. Let f be q(-4). Determine u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**5 + 6*u**4 + 3*u**3. Let p(q) = 6*q**5 + 12*q**4 + 6*q**3. Let h(o) = 5*k(o) - 2*p(o). Solve h(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 1.9. Which is the second biggest value? (a) -22 (b) j (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:06 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145150 + 4?\nAnswer: -145143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -520744 divided by 2\nAnswer: -260372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266081769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.01 + -0.01. Let l = t - 2. Let f = 0.2 + -1.2. Which is the nearest to l? (a) -2 (b) -3\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -24 + (-2 - -35658) + -26.\nAnswer: 2, 19, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 13736 = 3148. Calculate the greatest common factor of l and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2. Let p(o) = -19*o - 2. Determine b(p(g)).\nAnswer: -722*g**2 - 152*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -48*h**2. Let z(r) = 7*r**2. Determine q(z(j)).\nAnswer: -2352*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3718971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.047194 + 135.428194. What is g rounded to zero decimal places?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1798*0.4\nAnswer: -0.07192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722 = -16*r + 3*r - 6*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22450 - -22521. Calculate the highest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.64 + 0.64. Let p = 33 + u. Is p < 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*m**2*v**3 + 3*b**3*m**2 + 7*b**3*v**3 - 16*b**3*v**2 + 2*b*m**2*v**2 - 5*b*v**3 wrt v?\nAnswer: 36*b**3*m**2 + 42*b**3 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*u - 37 = -y, 0 = -2*y + 5*u - 3. Suppose 0 = n - y + 9. Solve 20 = 3*g + n*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 3440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdlwpiwmpwwmwwm. What is prob of picking 1 l and 1 i?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-112) + (-7)\/4. Let k(u) = -151*u + 8. Let b be k(o). Suppose 0 = 8*s - b + 86. What is the remainder when 94 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 16*b - 288 = 0. Suppose 2*c - 3*j = 21, -5*c - 7 = -2*j - b. Solve 0 = c*d - 2*v + 2, d - 4*v - 5 - 1 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-312)\/16)\/(3\/(-68))?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2 - 203*g + 1406. Determine k(7).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k**2 - 19*k**2 + 1 + 2*k - 1. Let f(p) = -13*p**2 + p. What is 12*f(t) - 5*i(t)?\nAnswer: 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -20, 0*p + 4*p - r - 24 = 0. Solve t = -2*t - 4*u - 5, 20 = -t - p*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*j + 35824*j**3 - 71641*j**3 - 16*j**2 + 35821*j**3.\nAnswer: 4*j*(j - 7)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.7 - -11.833. Let z = p + -0.333. Let h = 0.4 + -4.4. What is the closest to 0.2 in 4, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + sqrt(8) + -1 + 3 + sqrt(8)*2 - (sqrt(72) + -2 + -4)))*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let v = -0.12 + 0.02. What is the closest to 2\/3 in v, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -13. Put g, -1, 2 in decreasing order.\nAnswer: 2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111110011111110110 (base 2) in base 3?\nAnswer: 11220212111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517985.861 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 407, 819, 1231, 1643?\n\"Answer: 412*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6948401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - h)*(34*h**3 + 90*h**3 - 27*h**3) + h**3 - h**3 + 6*h**4.\nAnswer: -91*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4174 or 29223\/7?\nAnswer: 29223\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*m = -3*m, 3*a - 5*m - 6 = 0. Let i(l) = -3*l**2 - 4*l - 2. Let f(b) = -4*b**2 - 5*b - 3. Let x(w) = a*i(w) + 2*f(w). Factor x(d).\nAnswer: d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12277401 is divided by 27283.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -52*k - 258. Suppose f = -3*j - 27, -f = -4*j - 0*f - 36. Let n be a(j). What is the greatest common divisor of 60 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1547 + 17*g + 1547 to f + z*g and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i - 1833*i**2 + 83*i**2 + 445 - 11*i + 93 - 2242*i**2 wrt i?\nAnswer: -7984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 1073 in descending order.\nAnswer: 1073, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 - 158. What are the prime factors of 7\/(-2)*26052\/(-91) - n?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(80) + -1)*3)**2*1.\nAnswer: -72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37279739066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4357.\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-62)*4\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03175 in 2\/3, 252, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 44 = -2*f, -f + 0*f - a = -23. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -343706561?\nAnswer: 343706574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*j - 121 = 0, -76 = -3*s + 5*j + 51. What is the greatest common factor of s and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/((q*q**(-21\/8)*q)\/q*q)*q)*q\/(q*q\/((q\/(q\/q**(-8\/3)))\/q)*q) assuming q is positive.\nAnswer: q**(-175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 - 4 = 0. Let t = i + 2. Let f = 1 + t. What is the nearest to f in 0.1, -4, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*w + 12 = 0, -f - 8*w = -4*w. Suppose f*k + 0*k - 44 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -9) + (8 - 30) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2781*n + 1129*n + 6543*n + 13687*n.\nAnswer: 18578*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*h + 7772, 5*h - 7764 = -0*h + 3*t. What is the lowest common multiple of 36 and h?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/15 + 4*l**3\/15 - 14*l**2\/15 - 8*l\/3 - 8\/5 = 0 for l.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t = 51*t - 20 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 14*y - 136\/5.\nAnswer: -(y - 68)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 60 = p. Suppose -d = 2*z - p, 4*d - 53 = -4*z + 35. What is the smallest common multiple of d and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244129 to the power of 1\/2, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*t + 17. Let c be 2\/(2 + 32\/t). Is ((-23)\/c)\/((-2)\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 374. Calculate the greatest common divisor of w and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - (-2929)\/63. Let s = v + -47. Let d = 21 + -107\/5. Which is the second smallest value? (a) s (b) -1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035.011 minutes in seconds?\nAnswer: 242100.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/14539 and 91\/454528?\nAnswer: 98632576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 3*w**8\/56 + 89*w**6\/30 + w**4\/6 - 52*w**3\/3 + 529*w. Find the third derivative of z(b) wrt b.\nAnswer: 360*b**3 + 2136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 6*n**2 - 2*n + 4. Calculate y(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7*y = 4*y + 3703, -5*p + 3*y + 4649 = 0. What is the highest common divisor of p and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*k + 6259 - 6259 + (-1 - 1 + 3)*(2*k - 1 + 1) + k - 4*k + 4*k + (-2 + 2 - 2)*(1 + 2*k - 1) to b + w*k and give w.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -1)*1*-5.\nAnswer: -55*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 14) in base 5?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0 (c) -3\/2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 - 5*j**2 + 2*j + 3. Let u(o) = -o**3 - o**2 + o + 1. Let m(l) = -g(l) + 5*u(l). Factor m(a).\nAnswer: -(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 2, h: 1, k: 2, s: 1}. What is prob of sequence sy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -4*a**5\/5 - 125*a**2\/2 - 140. Find the second derivative of k(y) wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + d**2 - 4*d**2)*(-548*d + 755*d - 2438*d - 6904*d - 39*d).\nAnswer: -9174*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26579, -5, 0.316, 2, -0.5 in increasing order.\nAnswer: -5, -3, -0.5, 0.316, 2, 26579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x + 37 = -68*x - 80 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24 - 54 - -31 - (1 + 1). What is the third smallest value in 1\/3, s, -0.1, -3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 5*b + 17215. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9aa3 (base 14) in base 4?\nAnswer: -12202233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 8*w - 3. Let m(k) = -k**2 + k - 1. Let z(l) = j(l) - 3*m(l). What is the second derivative of z(g) wrt g?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-210)\/(-20)*(-238)\/3. Let u = s + 1490. What are the prime factors of u?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 763*v**3 - 133*v**2 - 4.\nAnswer: 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:05 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 26 = -f. Let g(m) = 2*m + 1. Let r be g(4). Let y = 51 + r. What is the greatest common factor of f and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**7\/42 + 8*f**6\/15 + 21*f**5\/5 + 12*f**4 + 6*f + 1. Factor g(k).\nAnswer: k**2*(k + 4)*(k + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + b - 19 = 16*t, -b - 89 = -5*t. Solve 0 = 4*x - 2*y + y, 2*x = -4*y - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-20)*675\/1080.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*u + 2*v, 2*u = 7*u + 5*v. Suppose n - 17 - 2 = -o, -2*o = -u*n + 102. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**3 + 3*f**2 - 3*f + 1. Suppose 0 = -751*t + 791*t + 80. Let h(c) = -3*c**3 - c**2 + c. Give t*x(a) - 5*h(a).\nAnswer: a**3 - a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -90*d**2 + 22*d - 5. Let n(w) = -w**2. What is x(n(y))?\nAnswer: -90*y**4 - 22*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 2*t - 4*v, 2*t - v - v - 234 = 0. Let c = t + -113. Let r(f) = f**3 - 6*f**2 - 3*f + 8. What is r(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -710 and 11.02?\nAnswer: -7824.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 458\/3 - 154. Let m = o - -5\/3. Let n = 83\/95 - 9\/19. Which is the nearest to n? (a) 3 (b) m (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b - 2. Let a be 5\/1 - (-2 + 0). Let q(f) = 79 - 80 - a*f + 0*f. Calculate 8*q(g) - 5*t(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8415 - -27.8875. Let r = f + -29.2. Round r to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:25 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202662 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*y**2 - 100*y**2 - 5*y**3 - 97*y**2 - 117*y**2 + 4*y**3.\nAnswer: -y**3 + 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 120, 211, 288?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/2656 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1090 and 358283.\nAnswer: 3582830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 256\/448 - (2 - 2). Let a(v) be the first derivative of 1\/42*v**6 + 17\/14*v**2 + 11\/14*v**4 + 4\/3*v**3 + s*v + 8\/35*v**5 - 6. Solve a(p) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9374, 37210, 83528, 148268, 231370, 332774?\nAnswer: 452420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a7564 (base 11) to base 4.\nAnswer: 1031200031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-13\/4))**(4\/17) assuming q is positive.\nAnswer: q**(-13\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 29*v**2 - 22*v + 174. Suppose -193345*s + 193319*s = 728. Determine d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 4*u**3 - 135*u**2 + 2 - 24*u + 163*u**2.\nAnswer: -4*u*(u - 6)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*s = -0*s + 14, 4*s = -3*z + 3. Let t be (-1)\/z + 54\/120. Which is the biggest value? (a) t (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4377 - 2064. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6799?\nAnswer: 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -80*w**2 + 12*w - 6. Let t(r) = 78*r**2 - 14*r + 7. Let s(a) = 7*c(a) + 6*t(a). Let x(n) = -n**2 - 5*n + 5*n. Determine x(s(h)).\nAnswer: -8464*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114) - 6*-1*sqrt(114)))\/(sqrt(384)*-3*-4).\nAnswer: -7*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = 5*t, -24 + 9 = -5*t + 5*y. Suppose -58 = -4*g + t*g. Suppose -2*x - g - 77 = -f, 4*f - 4*x = 528. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 554*p**5\/5 + 5*p**4\/12 - p**3\/6 - 8*p**2 - 42*p. Let k be o(-3). What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 4*g. Let o be i(2). Sort o, -2\/7, 2, -0.1 in decreasing order.\nAnswer: 2, o, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1435214 (base 6) in base 4?\nAnswer: -110031322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22681 smaller than -22681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/80647 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1119150 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**3 - 7*u**2 + u + 8. Let j(a) = -8*a**3 - 6*a**2 + a + 6. What is -4*f(g) + 5*j(g)?\nAnswer: -4*g**3 - 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -406 + -15?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 54 + 366. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**(1\/2))\/o)**(-8)*(o**4)**(-1\/4) assuming o is positive.\nAnswer: o**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -73, -177, -335, -553, -837?\n\"Answer: -i**3 - 18*i**2 + 5*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22721 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: Solve 772\/3*l - 257\/3 - 258*l**2 - 1\/3*l**4 + 260\/3*l**3 = 0 for l.\nAnswer: 1, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:31 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 190 = -3*o. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53899829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4517 less than -4517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -0.3, -3, -106048?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -14. Sort f, -3, -2 in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -14) + (-131 - -117). Let q be (-2)\/((-1)\/5*2). Solve i + 7 = q*b, -5*b + a = -3*i - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0 + 2. Suppose -l*a = -4*a + 84. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, x: 5, s: 1, n: 3, g: 1}. Give prob of picking 1 x and 1 g.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 231*p + 932. Let s be x(-4). Which is the second biggest value? (a) -1 (b) -5 (c) 0.02 (d) 3\/2 (e) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 + 11*j**3 + 288 - j**2 - 270 wrt j.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8 + (-3)\/(-6). Let o be (-5)\/45*(f - -1). Which is the fourth biggest value? (a) 0.3 (b) 5 (c) o (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*0.167.\nAnswer: -1.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -102, -491, -946, -1245, -1166, -487?\n\"Answer: 37*v**3 - 255*v**2 + 117*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjy. Give prob of sequence yj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -192*m + 7685. Let a be w(40). Let t(p) = p**2 + 4*p. Let l be t(-5). Solve -2*z - a*u = -l*z - 2, 2*z - 5*u = 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21090 divided by -74.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + k + 3*k + 70 = 0, -2*v + 46 = 2*k. Let q be v\/6*2\/3. Calculate the common denominator of (-62)\/(-5) + -3 + q and -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/7 - 228*w**2 + 1602*w\/7 + 3196\/7 = 0. Calculate w.\nAnswer: -799, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, b: 1}. Give prob of sequence ph.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-130455)\/(-3) - 72\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99 - 438*b**4 - 3*b**4 + 849*b + 34*b**4 - 2479*b + 98 wrt b.\nAnswer: -4884*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13049426 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/38 (b) 1\/3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -1082518 in decreasing order.\nAnswer: 3, -1, -1082518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 + 1\/(-2). Let j = 3 + p. Find the first derivative of -d**3 - 2 - 2*d**j - 1 wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3 + 4*o. Let k(c) = c. What is k(v(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by -684?\nAnswer: 119\/684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(240)*-2)\/(sqrt(56)\/(sqrt(28)\/sqrt(4))))\/(-4*(sqrt(726) + -2*sqrt(726)) + 5*sqrt(726)*1).\nAnswer: 2*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -4 - (-19 + 16). Let l = 4 + 0. Suppose l*g + a = 4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 times -81.83\nAnswer: 220.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-140)\/16 - 3\/12. Let d(u) = 9*u**3 + u - 2. Let r(v) = -37*v**3 - 3*v + 9. Let g(y) = z*d(y) - 2*r(y). Find the second derivative of g(s) wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11503 + 110151 = 1298*p for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 832 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**4\/s*s)**(5\/3)\/((s\/s**(-1\/7))\/(s*s**(-2\/17))) assuming s is positive.\nAnswer: s**(2882\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1260770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -14*l - 165. What is the remainder when 65 is divided by p(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.44874 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-102)\/12*2. Let h be -3 + g*7\/(-21). Solve 25 = -h*o + 7*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllzllzgglgyg. What is prob of picking 1 l, 1 y, and 2 g?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 80*i**2 + 2805*i.\nAnswer: -5*i*(i - 33)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 308*s**2 - 129*s + 7. Is f(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-4)\/(-2) - 18)\/(78\/(-1755))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*m - 116*m + 238*m - 2*m + 0*m + m + 1 - m - 1 + (2 + 2 - 2)*(3*m + 0*m - 4*m) - 2*m - 5 + 5 to j + z*m and give z.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7895 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyr when three letters picked without replacement from {l: 3, y: 2, k: 10, r: 2, d: 2, x: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -141 = -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 g when three letters picked without replacement from {w: 5, g: 2, d: 1, o: 4, b: 1, m: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 864246.1 milligrams in nanograms?\nAnswer: 864246100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12560.65ml to litres.\nAnswer: 12.56065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 318994331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -33. Let s = r - -31. Let x be (-2)\/4*-2*15. Calculate the greatest common factor of x and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**4 + 7*j**4 - 15*j**4 + 0*j**4 + 3*j**2 wrt j?\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 5 + 2 + 0 + 7. Let y be q(-11). Suppose 0 = y*d - 0*x - 4*x - 16, 0 = -5*d + 4*x + 24. Solve -3*i = 4*k + 17 - 41, 31 = 5*k + d*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -19\/3659235?\nAnswer: -19\/3659235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 156 = -4*o. Suppose -o = -2*n + 106. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(343))*4)**2.\nAnswer: -16512 + 672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from qfa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212 - -211.98. Let t = 0.3 + -2.3. What is the closest to -0.1 in w, -1, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 107?\nAnswer: 6741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2189 - -2184. Sort -4, 30, t.\nAnswer: t, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) -4 (c) -50 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*h + 116, -y - 4*h + 26 = -0*h. Let f = y - 18. Suppose 10 = 2*a + 2. Solve a*c = -s - s - f, s - 4 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 242. Calculate h(-71).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.26 and 4.\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 3*(1 + 0). Let j be ((-1)\/1)\/(22\/q). What is the biggest value in -3\/5, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.05 (b) -4 (c) 8 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149476 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -240, 5, -33, 68, 0.\nAnswer: -240, -33, 0, 5, 9, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -246, -243, -224, -177, -90, 49, 252, 531?\n\"Answer: 2*o**3 - 4*o**2 + o - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-76)\/24 - (-6)\/36 - (-980)\/30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -59. Let o(y) = -181*y**2 - y. Let m be o(v). Is -7 + 9 + -5 - m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 311993 and 333689.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 21907510?\nAnswer: 2\/10953755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbbzfbrrzbfh. Give prob of sequence frfz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -4. Let j = 4 + c. Suppose 3*n - 11 = w, -3*n + j = 2*w - 14. Calculate the least common multiple of n and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -593696645290 less than 4?\nAnswer: 593696645294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**5\/7 - 66536*f**4\/7 - 368831196*f**3\/7 - 680861855432*f**2\/7 + 2728244889200*f\/7 - 2047014136032\/7 = 0.\nAnswer: -5546, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (1 + 0)*45\/(-585)*-65?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -12. Suppose z = x - 3 + h, -x = z - 10. What is the remainder when 17 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/28 + (-883740)\/1106. Let z = n - -5592\/7. Is z smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*d**4 - 3*d**3 + 1287*d wrt d?\nAnswer: 1680*d**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4455 + 5*g**3 - 14*g - 4456 + 3*g**3 + 8911.\nAnswer: 8*g**3 - 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10 = -7*a. Let j be -6 + (4 - 1) - -20. Suppose j = 4*l - 3. Calculate the highest common factor of l and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -11. Suppose 0 = h + 3 - m. Let j be (h + -1 - -2)\/(-1). Sort 0.2, -1, j in increasing order.\nAnswer: -1, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24257 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4662 - -1061?\nAnswer: -3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 + -6.1. What is the smallest value in 4, 0.1, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1038 and -65\/66?\nAnswer: 11418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*z, -3*z = -5*p - 0*p + 2. Sort -4, 22, z in increasing order.\nAnswer: -4, z, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12\/5, 2\/9, 1\/27, 1, 6\/5, 2\/47?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1, -1010554, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 71*s - 1555. Let a be b(22). Solve 8 - 50 = -a*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**4\/12 + w**3\/6 - 19*w. Let o(q) be the first derivative of 7*q**3\/3 - 7*q**2\/2 + 58. Determine o(n) + 5*x(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 5 = 8860*r - 8859*r, 3*x = r + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvizvegpii. What is prob of sequence iep?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1054*a. Let q(r) = 380*r**2. Calculate x(q(p)).\nAnswer: -400520*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2340 and 1620?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 586, 3140, 7396, 13354?\n\"Answer: 851*h**2 + h - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5530*i - 25245 = 6465*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*((2 + sqrt(684)*2)*-4 + -5 + -4)**2.\nAnswer: 8160*sqrt(19) + 220321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 69.45537 months?\nAnswer: 0.57879475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**2 + 64*d**2 - 50*d**3 + 52*d**3 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550.6 * -5.4\nAnswer: 2973.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/1 - (17 + -3 - 24). Solve -2*j = -5*c - 10, 4*j + 2 = l*c - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2678 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26698.6807017 + -26494.68069. Let g = -204.0211 - -0.0211. Let q = a + g. Round q to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 66963.\nAnswer: 937482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 7, -4, -322.\nAnswer: -322, -4, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 14 = -2. Let v(x) = -x. Let o(a) = 3*a. Let z(y) = k*o(y) - 8*v(y). Let i(r) = -r**2. Calculate z(i(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*a - 6. Let s be (3\/(-9))\/(a\/(-9)). Solve o + 2*b = -0*b - s, -4*b - 32 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhzhhhhhzhhhhzhh. What is prob of sequence zz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54134.199 minutes in weeks?\nAnswer: 5.37045625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015500173 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 10*b - 5*p + 135 = 0, -4*b - 99 = -5*p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*f - 36 - 17, 5*f + 44 = -2*v. Let h be (-4)\/8 + (-35)\/f. Put 4, -5, h in descending order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2293 (base 12) to base 5.\nAnswer: -110410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3\/5, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1551 - 1521. Let u = 16 + -10. Let m be (6\/4 + 1)*u. What is the highest common divisor of y and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.6 and 193.\nAnswer: 189.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 1087*w - 5417. Give t(-5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -16. Let s be -7*(-1 + -1 + 48\/28). Let w = g - s. Let u(o) = -o. Determine u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53*((-84)\/(-20) + -4))\/(2\/10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:47 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2186833.24 rounded to the nearest one hundred?\nAnswer: -2186800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {o: 6, j: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932298473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -20, -0.4, -46?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 312, 465, 616, 765, 912?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbbj when four letters picked without replacement from {j: 5, b: 13}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 19 = -18*s - 4. Let z = 13 - 18. Put z, -1\/20, s in decreasing order.\nAnswer: s, -1\/20, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*2\/288*0\/(-5 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. Suppose -z = 2*z - 6. Let g = b + z. Solve g = -s + 4*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -2\/15, -4 in increasing order.\nAnswer: -4, -2, -1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1234753 and 1235.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h + 2. Let q(v) = 30*v - 2. Calculate -3*n(z) - 4*q(z).\nAnswer: -45*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*g = 5, 5*g - 15 = -4*s + 4*g. Calculate the remainder when 36 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/52246 - 52251\/261230. Let s = -1.1 - 2.9. Let n = -0.1 + 0.14. What is the third smallest value in n, t, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3795, 5, 3, 2, -4, -38 in ascending order.\nAnswer: -38, -4, -3, 2, 3, 5, 3795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 33. Let x be v(7). Let 66*w**2 + x*w**3 + 91*w**2 + 495 - 37*w**2 + 715 + 825*w = 0. Calculate w.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827968 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u = -26. Let g = -12 + u. Put g, -4, 3 in descending order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:33 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 789*c**4\/4 - 146*c - 1209. What is the first derivative of r(p) wrt p?\nAnswer: 2367*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**2 + 1\/14*v**4 - 18*v + 0*v**3 + 0 - 3\/140*v**5 - 1\/70*v**6. Determine x, given that u(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(-5 + 0 + 2)*(-3*c + c - 2 + 1).\nAnswer: -18*c - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 12*s + 21. Let c = s + 18. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r - l, 2*r + 5*l + 12 = 2. Suppose 0 = -64*i - 17*i + 243. What is the first derivative of 5*m**2 - i*m**2 + 23 + r wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*h**2*y + 121*d*h*y - 7*d*y + 78*d - 2*h**2 wrt h?\nAnswer: 2*d*h*y + 121*d*y - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*f = 5*f - 5, 10 = 2*i + 2*f. Let u(l) = -l + 9. Let t be u(-6). Let m be (-60)\/t - (-23 + -1). What is the greatest common factor of m and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/18)\/(23746\/(-320571))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 - 42b6?\nAnswer: -4294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 100.63.\nAnswer: -120.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 9.75473697.\nAnswer: 4.75473697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1133321 (base 4) to base 15\nAnswer: -1c42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9860025 and 11025.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 6*n**2 - 113.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.6409 micrometers in kilometers?\nAnswer: 0.0000009936409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-3806.1.\nAnswer: 38061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5815068571\/44 + -132137924. Let t = -22724 + r. What is the common denominator of (65\/10 + -4)*((-1620)\/80)\/81 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**3 - 8*k**2 + 30*k = 0. What is k?\nAnswer: -3, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(-1546 - (-12)\/(-3)). What is v rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 (base 12) in base 4?\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 0)*(-1)\/(-2))\/(21\/(-12600)*-2150)?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13130 = -2*a. Suppose -3*g + 12012 = -4*j, 0 = 2*j + g - 569 + a. What is j rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*h + 18310, 275*h - 280*h = -5. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/((-15)\/6))\/((-3)\/(-45)). Let i be (7 + 14)*k\/(-21). Solve i*x - 12 = 9*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33427 divided by 33427\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3919205 divided by -755?\nAnswer: -5191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 2 (c) 1275308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 21 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2*z**2 - 2*z**2 + 7*z**2).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 5) to base 8\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.7214 - 0.2786. What is the second biggest value in 4\/7, j, 6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30677 is divided by 140?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 11 = o, 5*v - 7 = 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135716?\nAnswer: 2, 7, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6 + 7*x - 4 + 5. Let u(r) = -10*r - 10. What is -7*s(d) - 5*u(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2)*6\/(-12). Let s(j) = j**2 - 2*j - 1. Let g be s(-2). Solve i = 2*l + 5*a + 7 - 0, -l + g = -a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f*h*u**2 + 2*f*h - f*u**2 + 3*f - 3*h - u wrt h?\nAnswer: 3*f*u**2 + 2*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x - 5*x - 17*x**2 + (3 - 3 + x)*(-4008*x - 3931*x + 7998*x) to the form a*x + d + s*x**2 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -6*z**3 - 21039*z**2 + 44566989*z - 22278234 = 0?\nAnswer: -4994, 1\/2, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let a(l) be the first derivative of l**3 - l - 18. Determine h(a(x)).\nAnswer: 9*x**4 - 6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 369. What is the remainder when m is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 8 - 7 + 9*f to the form c*f + s and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 13*f**2 + 10*f + 17. Let k be i(13). Let v = -117 + k. Is v a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2748.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by 576.\nAnswer: 161\/576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(76)\/sqrt(4)*-5)*-4)**2.\nAnswer: -320*sqrt(19) + 7664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231114 (base 5) in base 14?\nAnswer: 89db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 219393144681696 - d**2 - 219393144681696.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -910*t - 4. Let o(u) = -1821*u - 7. Let l(c) = 5*k(c) - 2*o(c). List the prime factors of l(-1).\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 6. Determine u(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4888 + -4885. Solve 182*q + s = 183*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/(2\/42). Let y be (-94)\/p + (-12)\/(-42). Let t be (42\/24)\/((-10)\/(-40)) + 0. Calculate the highest common factor of t and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 52. What is the remainder when 143 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 6 - 6 - c - 2*c**3 to r + q*c**3 + d*c**2 + y*c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 1\/2, 4.4, -3 in ascending order.\nAnswer: -3, -2\/13, 1\/2, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 8 = 0, -3*a + 28*o = a + 26*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71*l**2 + 69*l**2 + 55*l**2)*(-3 + 0 + 1) in the form k*l + c*l**2 + x and give c.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15*l**2 - 6*l - 51. What is g(-7)?\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 19 - 17) + (2 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvxggvxvg. Give prob of picking 2 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 t, and 1 s when four letters picked without replacement from tdtttttstdttnttttts.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7576\/6*(-6)\/(-28). Let v = -38013\/140 + u. Calculate the common denominator of ((-3)\/16)\/(2664\/2368) and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 4 - 4 + (4*k - 4*k + k)*(-6*k + 12 - 12 - 2 + 2 - 2*k - k + k - 2*k - 1 - k + 1 + (0 + 2 - 4)*(0 - 2*k + 0) + 0*k + k - 3*k)*(k - 4*k + k).\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3112865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, 5, -3.88, 7, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 38895*l**3 - 38910*l**2 - 77800*l.\nAnswer: 5*l*(l - 2)*(l + 1)*(l + 7780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Suppose -o + 12 = k*o. Suppose 111 = 5*f - 54. Calculate the highest common divisor of f and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108754.2 * 0.081.\nAnswer: -8809.0902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*m**3)*(2*m - m - 2*m) + 3*m**4 - 11*m**2 + 11*m**2 + (4*m**3 + 0*m**3 - 3*m**3)*(0*m - m + 2*m).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 25.89. Let i = 20.79 + -21. Let g = f - i. What is g rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let t(c) = 6*c**2 - 1. Let w be t(1). Let b = 0.4 + -0.4. Sort h, w, b in ascending order.\nAnswer: b, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -1*(0 + sqrt(13)))**2 - (sqrt(208)*5)**2.\nAnswer: -5148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 182096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -1769, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:59 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 11 = 0. Let q = f + -7. Solve 0 = 2*u + q*v - 8, 4 = 4*u - 4*v - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**3 + 41*q**2 + 72*q = 0.\nAnswer: -8, -9\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, c: 2, z: 1, m: 1, k: 11}. Give prob of sequence ee.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16766*h*o*q - 6*h*o - 102*h*q + 193057*o + 2 wrt q?\nAnswer: 16766*h*o - 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48268117?\nAnswer: 17, 2839301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4377015 and 7\/139557.\nAnswer: 48147165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/117 and 65136 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k - 11*k)*(-40*k + 13*k - 19*k)*(k**2 + 0*k**2 + 0*k**2).\nAnswer: 414*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -30, -69, -142, -261, -438, -685, -1014?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose k = -4*z - z. Solve z*y - 4 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {b: 2, o: 3, j: 6, w: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Calculate the remainder when (-10)\/(-4) - 1\/(-2) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (470 - 98 - 2*d + 160)*(2*d**4 - 11*d**4 + 0*d**4).\nAnswer: 18*d**5 - 4788*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 2, a: 1, k: 6, y: 2, v: 2}. Give prob of sequence yza.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4.06 * 139958\nAnswer: 568229.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -0.1 (c) -2 (d) 1.65 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 + 6)*8\/3. Is (-12)\/b + 4265\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f + 119. Let v be t(14). Let r(a) = -a - 14. Determine r(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 - 0.68. Let j = 0.05 - -0.04. Let r = j + 0.21. Put f, 1, 2\/5, r in ascending order.\nAnswer: f, r, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 - 81 = 12*y + 10*y. Let j(u) be the first derivative of 0*u**2 + 0*u + 38 + 15\/2*u**y + 31\/3*u**3. Find the third derivative of j(n) wrt n.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 1, 60 = 4*g - 3*i. Calculate the remainder when 34 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -1. Let j be 8*-4*q\/(-8). Let t be 2 + -1 + j\/1. Solve 5*c + k + 6 = 0, 5*k + t = c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*r, 3*b + r = -0*r. Let m = 551 + -393. Suppose 2*k + b*k = m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8844 and -1140.\nAnswer: 7704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {z: 1, y: 4, s: 1, v: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.04, -4.178?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:50 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*p - 4*b, 0 = -0*p + 5*p - b - 65. What is the remainder when 80 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688104344 a multiple of 1103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 587111341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 592001089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29484849 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -346620411?\nAnswer: 346620365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 15*o - 30. Let f be b(-17). Suppose -4 = 2*n + f*k, -3*k - 4 = n + 1. Solve 8*s - 8 = n*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.706385 - -0.5.\nAnswer: -2.206385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-85)*(-6)\/((-48)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + o + 1. Determine t(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 508 + -497. Suppose 19040 = 7*r - i*r. What is r rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*4*((-6)\/(-16))\/(210\/(-140)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swaa when four letters picked without replacement from {q: 4, s: 2, k: 4, w: 1, a: 9}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*t + 17 = 5*d, -5*d = -t - 16. Let x be (6\/(-4) - -1)*0. Suppose -o + 6 = d*c - 2*o, 2*c - 3*o - 11 = x. Solve 10 = 3*y + c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) 0.2 (c) -7\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/20 - 5*c**4\/24 - 13*c**3\/6 + 10*c**2. What are the prime factors of f(6)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 96*n - 2. Let u(d) = 7*d**2 + 190*d + 5. Determine -15*p(b) - 6*u(b).\nAnswer: 3*b**2 + 300*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-168)*-6*(-10)\/(-1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16144, 16795, 17458, 18139, 18844, 19579, 20350, 21163?\nAnswer: 22024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -613*k - 10. Let h(a) = -1521*a - 24. Let r(w) = -5*h(w) + 12*l(w). Let s(z) = -z. What is s(r(g))?\nAnswer: -249*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 27.1. Let i be ((-2)\/(-6))\/(10\/(-40)). Sort i, 2\/3, d.\nAnswer: i, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.5 + 4.18. Let d = u - -2.47. What is the biggest value in d, -6\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -940*o**5 + 855*o.\nAnswer: -18800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -5, -463214, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 62666 and 62730 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 5 (c) -3.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/3*(4 - -2). Let b(l) = -l**3 + 17*l**2 + 37*l + 33. Let n be b(19). Let a = k - n. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j - 43*j**2 + 0*j**3 + 0 + 1\/12*j**4. Let f(b) = b**2 - 23*b. Calculate x(f(t)).\nAnswer: 2*t**2 - 46*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 152 = 4*b. Is (b + (3 - 6))*-1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.85 + 0.032953.\nAnswer: 54.882953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663917*y - 331959*y - 7*y**2 + y**2 - 331958*y + 5*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15 + 13\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1022933 (base 10) to base 14\nAnswer: -1c8b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 16*y. Determine n(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.7, 0.05, -0.5, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.05, -1\/8, -0.5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 32*m = 5*b + 95, -6 = 2*b. Solve -570*n = -572*n - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -858, -4, -6, -7, 1, -3 in ascending order.\nAnswer: -858, -7, -6, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-28)*(o\/o**(-6\/13))\/o*(o*o**13)**(9\/5) assuming o is positive.\nAnswer: o**(-22\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351 (base 14) to base 13.\nAnswer: -3b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.31 in -138\/5, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/54*1440\/(-1040)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290728 divided by -72682.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + r = -8, -i + 16 = 3*r - 6*r. Is i at most as big as -1312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from wdwdmjw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*p - 61*p - 71*p in the form g + v*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 101110?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18100800 divided by 56565.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2 + 3*t - 2. Let x be y(-2). Let r be (1 + x)*(-3)\/6. Put -2, r, 4 in increasing order.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by (-6688)\/(-80) + (-4)\/10*-1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11931335.799 rounded to the nearest one hundred thousand?\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d. Let v(u) = 7*u. Let c(a) = 5*v(a) + 2*w(a). Let r(f) = -f**2. What is c(r(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 18*p**2 - 13*p**2 - 1 + 2*p as i + s*p + z*p**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 437\/(-2898) - 1\/14.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 - 3*v**3 - 3*v**3 + (2 - 2 - v**2)*(-22 - 23*v + 22) - 11*v**3 - 15 + 15 to j*v + l*v**2 + k + b*v**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 150, 649, 1480, 2643, 4138, 5965, 8124?\n\"Answer: 166*r**2 + r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 6*t**2 - 19*t + 1. What is the derivative of b(f) wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*o - 2*o**2 - o - 12*o + o - 13*o to the form a*o + w + g*o**2 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002 (base 4) in base 15?\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00546990799 rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 716.86 - 1245.33. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045885 to the power of 1\/2, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(-8)\/12. Suppose 0 = 4*v + 3 + u. Let p(t) = 12*t**2 - t. Is p(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 - v + 1. List the prime factors of d(2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.500129 + 1.5. Round g to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3 - 53931*d + 51297?\nAnswer: 6*d**2 - 53931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 21\/11, 15.\nAnswer: -3\/2, 21\/11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 374, 2044, 6572, 15386, 29914, 51584?\n\"Answer: 238*j**3 + j**2 + j + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 - 3*s. Let t(j) = j**2 + 2*j + 2. Let i(c) = 4*c**2 + 10*c + 10. Let a(z) = -i(z) + 5*t(z). Give u(a(l)).\nAnswer: 10*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4 - -3)\/(-2). Let n = 67\/36 + h. Put 0.4, n, 2 in descending order.\nAnswer: 2, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c6 (base 13) to base 8.\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*w = 29, -g - w - 5 = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1015 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 253*j + 6. Let v(w) = 3*w. Give -u(n) + 6*v(n).\nAnswer: -235*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*((g*g**(4\/15))\/g*g)\/g*g*g**(-9\/10)*g*g**46\/g*g*g**24 assuming g is positive.\nAnswer: g**(2171\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9, -2\/11, 34, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-60) + 12\/15. Suppose -2*x - k + 15 = 0, 0*x + k = -x + 6. Solve -3*a - x = -m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022001 + -102001?\nAnswer: -2201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = -30. Suppose -2*j + 8 = -52. Suppose 0 = -6*u + u + j. Calculate the greatest common factor of y and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 358 = 57*a - 218 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 43208.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + z + 3. Let b = -2280 + 2282. What is r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*n + 8, -4*n + 2*q + 2*q - 4 = 0. What is the third derivative of -3*y**3 + y**2 + n*y**3 - 3*y**3 wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Suppose -5*y = 3*g - 2*g + 13, 3*g = -3*y + 21. What is the remainder when g is divided by h(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221010 - 10?\nAnswer: -221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from ayhyyyyyyhyhhy?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3 - 24 - 57*u + 51 - 31 wrt u?\nAnswer: 3*u**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250924 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 3\/4, -0.49, -2\/3, -0.18.\nAnswer: -0.7, -2\/3, -0.49, -0.18, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -1367a?\nAnswer: -13671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + (7 - (4 + 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -318*-585.22\nAnswer: 186099.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 6*s**3 + 13*s**3 + s**2 + s - 12*s**3 as r*s**2 + i + k*s + d*s**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58191, 58179, 58153, 58107, 58035, 57931?\n\"Answer: -r**3 - r**2 - 2*r + 58195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 725, 2156, 4329, 7244, 10901, 15300?\nAnswer: 20441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkpk when four letters picked without replacement from pggggggkgpkggg?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (1 + (-5 - 17) + 17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - -20022220020120?\nAnswer: 20022220022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 59*b**2 + 23*b - 130. What is the thousands digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1321, -2631, -3935, -5233?\n\"Answer: 3*d**2 - 1319*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -844 (base 12) in base 8?\nAnswer: -2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 5*m**2 - 19*m - 1. What is the remainder when 104 is divided by j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -d + 6412, 743*d - 740*d + 4*q = 19228. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1013, 1045, 1139, 1325, 1633, 2093, 2735, 3589?\n\"Answer: 5*p**3 + p**2 - 6*p + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/333 and 34\/5217.\nAnswer: 15651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + 45875\/100. What is the highest common factor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (-9 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4770, 9335, 13904, 18477, 23054, 27635, 32220?\nAnswer: 36809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2497 + 2508. Let t(c) = -c**2 + c + 18. Calculate the remainder when t(0) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -214291 or -214246?\nAnswer: -214246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32356, -38, 24 in descending order.\nAnswer: 24, -38, -32356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 676 = 1262. Calculate the greatest common divisor of 2622 and q.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j = -3. Suppose 3 = 2*q - s, j*q + 0*s + 4*s - 32 = 0. Suppose 0 = 2*o - 9 - 11. What is the lowest common multiple of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -70*t + 5448. Calculate x(-10).\nAnswer: 6148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:18 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t - 14*t + 30*t - 2 - 11*t + 2.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - 73) + -7 + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 1. Let l = 2\/671 - 63\/671. Which is the closest to 3? (a) g (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38197 - -19267. What is y rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 5*y**2 - 3*y**2 + (-3 - 2*y + 3)*(2*y - 3*y + 3*y) - 2*y**2 - 1 + 1 + y**2 + 3*y**2 - 5*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6614622 (base 7) to base 9.\nAnswer: 1465210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 152. Let c = z + -30. Calculate the smallest common multiple of 7\/(2\/(-4)*-1) and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:11 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let x(g) = 4*g**2 - g + 6. Let q(m) = -9*m**2 + 3*m - 14. Let a(z) = 3*q(z) + 7*x(z). Determine t(a(b)).\nAnswer: b**4 + 4*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10870912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 937*g - 11*g**3 - 468*g - 2*g**2 - 475*g to the form f*g**4 + v*g + j*g**3 + p + h*g**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57184?\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-4)*18\/27. Let z(q) = 2*q**2 - 5*q + 3. Let t be z(y). Let x(k) = 9*k + k**2 + 5*k - 7*k. Let f(i) = -i. Give t*f(c) + x(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24184 is divided by 252.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 76, 73, 68, 61, 52, 41?\n\"Answer: -y**2 + 2*y + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6013021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 1\/3*h**3 + 0 + 1\/6*h**4 - 1\/2*h**2 + h. Let v be g(-2). Solve u - 3*z - v = -11, -2*u = 5*z - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4539863 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -495902*s**2 + 242899 wrt s.\nAnswer: -991804*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -608346*o. Let d(q) = -328*q**2. Give d(x(n)).\nAnswer: -121387832674848*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*l - 3*i + 12, -4*l + 23 = i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 6:24 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.307 - 0.007. Which is the nearest to -9? (a) -1 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 1 + ((-65)\/10 - -2). Sort -4, 0.5, 2, t in descending order.\nAnswer: 2, 0.5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-5)))\/i)**(-2\/35)\/(i**4\/i)**(1\/25))**(-5\/13) assuming i is positive.\nAnswer: i**(61\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/3 + 4266872*f\/3 - 4551549166096\/3 = 0 for f.\nAnswer: 2133436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 4*f**2 - 6*f. Suppose 3*a + 8 = -4. Let s be h(a). Suppose 6*t - 2*t = 5*d + s, 5*d = -5*t + 65. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 316 = 189*j - 2215 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(11 + 2*b + 7 - 16).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 6. Let n(g) = -3637*g**2 + 963*g - 22. Let k(z) = -n(z) + 4*w(z). Find the second derivative of k(d) wrt d.\nAnswer: 7298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -133*m**2. Let s(b) = 17527*b**2 + 21. What is s(o(g))?\nAnswer: 310035103*g**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 20*h - 480. Let i be n(-14). Let x(u) = u**3 + 4*u**2 - u - 5. Calculate x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 357*w**2 + 58*w - 522. Is p(47) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1451306 or -4353917\/3?\nAnswer: -4353917\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 + 40 = x, 4*c + 62 = 2*x. Suppose 4*q + q = x. Let s(h) = -7*h**2 - 93*h + 75. What is the remainder when q is divided by s(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -2.9. What is the nearest to 2 in i, -0.5, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -24*r - 619. Determine h(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 5:58 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6250860 and -17\/60984.\nAnswer: 12501720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (169 + 1217 + 18 + 1075 + (2 - 1 + 0)*(3 + 0 + 0))*(3*i - 3*i + 3*i) to the form n*i + u and give n.\nAnswer: 7446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.125, -0.08, -0.11, -50 in ascending order.\nAnswer: -50, -2.125, -0.11, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 9}. Give prob of picking 2 j and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2440 and 227836464?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, -1260, -3, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t - 7*t)*(5 + 0 - 3)*(-4 - 3 + 2)*(2 - 2 - 4).\nAnswer: -480*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 878*b + 3637*b**3 + 152 - 4952*b**3 - 152 wrt b.\nAnswer: -7890*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258344872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 5\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-225439.\nAnswer: -67631.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s - 30. Let i be (0 + 3)\/(s\/(-4)). Let b(o) = -9*o**2 - o**2 - 4*o**i + 0*o**2. Let d(t) = t. What is b(d(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlqn when four letters picked without replacement from nhllqntq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummmxmmuxmxmxummu. What is prob of sequence mmxx?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57218 and 4070652.\nAnswer: 28494564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 12, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 24*j**2 + 136*j + 17. Let z be v(-15). Let h be 0 + 11 + 2 - -2. Suppose -3*y = -6*y + h. Solve -3*n + 3 + 7 = z*a, 15 = 5*n + y*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 3, l: 3, n: 2, w: 1}. What is prob of sequence aaaw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.14, -1988, -5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 7*v**2 + v - 25. Let j(b) = 2*b**3 + 4*b**2 + b - 13. Calculate -7*j(p) + 4*k(p).\nAnswer: -2*p**3 - 3*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 22, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6832 divided by -4?\nAnswer: -1708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**2 + 8*k**2 - 5*k**2.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13072 and 22?\nAnswer: 143792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.13. Let b = 0.58 + -0.58. Sort 5, b, w.\nAnswer: w, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-28)\/r*r**(-21))\/((r\/(r*r\/(r**(1\/7)\/r)*r)*r)\/r**5) assuming r is positive.\nAnswer: r**(-302\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 69. Let 82*i + 3*i**4 - 46*i**2 + 3*i**3 + 22*i**a - 118*i = 0. What is i?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (244 + -224 - -22)*20\/(-14)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/4 - 1687531*o\/4 - 1687529\/2 = 0.\nAnswer: -1687529, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -y - y - 14, 4*s = -4*y + 4. Calculate the smallest common multiple of 9 and (-1)\/(-4) - ((-70)\/8 - y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -177*x - 12758. What is y(-75)?\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o + 7. Let h be q(5). Let z = 20 + h. Let v(t) = 1. Suppose -b + 1 + 0 = 0. Let u(p) = 2*p + 3. What is b*u(w) + z*v(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 8:58 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -10 - 1122\/(-119))\/((-12)\/14). Put -1\/12, x, -1\/3, -2\/5, 2 in descending order.\nAnswer: 2, x, -1\/12, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.55 (b) -286\/9 (c) 0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 230638*l + 230638*l. Let p(q) be the second derivative of -3*q**3\/2 - 15*q. What is s(p(m))?\nAnswer: 486*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2219*h + 208714. Calculate w(-94).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29933 is divided by 122.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1694746?\nAnswer: -1\/1694746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/8*((-14)\/(-4) + -3). Let x = 3.5 + -8.3. Let d = 0.8 + x. Which is the nearest to 0? (a) d (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -17\/4 (c) -8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 0.2 (b) -2\/25 (c) -5\/4 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13810173 by -5.\nAnswer: -13810173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7328745 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:17 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3804 (base 9) to base 5.\nAnswer: 42324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 18 = -22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3cc09 (base 13) to base 8.\nAnswer: -336644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*((v\/(v\/(v*v**(-17\/4)\/v))*v)\/v)\/v*v)))\/v**(-9)*(v\/(v**(-15)*v))\/v**12 assuming v is positive.\nAnswer: v**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + (-120)\/126. Let o = 2\/13 - 58\/39. Let q = -23\/90 + 1\/18. Which is the third smallest value? (a) q (b) s (c) o (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2645354908 take away 115.05?\nAnswer: -2645355023.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -3718*y**3\/3 + 15*y**2\/2 - 64*y - 1. Is m(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2)*(-20)\/(-30). Let o = 0.01 + 1.99. What is the nearest to 0.1 in k, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 47019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415715, -831430, -1247145?\nAnswer: -1662860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863303452 to the nearest integer?\nAnswer: 29382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(720) + sqrt(720))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121892820 by 1160884.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, b: 6}. Give prob of picking 2 y and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35136.2 - -6963\nAnswer: 42099.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10799 + 10799 + 8*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1196 + -0.0196. Let q = -39.4 + 39. What is the closest to 2\/145 in b, 0.5, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to -202902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41829137*i**2*k - 211*i*k + i + 85753*k wrt i.\nAnswer: 83658274*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 76\/6. Let y(k) = k**3 + 12*k**2 + k + 15. Let q be y(s). Suppose 1 = u - q. Solve -u*w - 2*i = 24, 2*i = -w + 2*w + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16, -5, -75, 0 in increasing order.\nAnswer: -75, -5, -2, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b\/b**(-2\/43))\/b))\/(b\/b**(8\/7)) assuming b is positive.\nAnswer: b**(29\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 83. Let r be 3\/(-1*(-6)\/8). Let v be (d\/r)\/(-7)*0. Solve -2*k - k = v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 + 5. Let g = -11.11992 + 9.52. Let y = t - g. Round y to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b - 8. Let o(g) = 5*g - 3. Determine 3*m(v) - 10*o(v).\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 2*a + 79. Let x(b) be the third derivative of b**4\/24 - b**3 - 18*b**2. Let l be x(6). What are the prime factors of z(l)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 3*p**3 + 2*p + 6*p**3 + 2*p**3 - 4*p**3 + (-p - 3*p + 3*p)*(0 + 0 - 4*p**2).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2047245 + 0?\nAnswer: -2047245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -148b6 (base 14) to base 7\nAnswer: -302016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 707.8292561 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1528.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/17047?\nAnswer: -6\/17047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/1917?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935 divided by 5?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 9498, -83, 5\/3, 2\/215?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 212.528 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 204.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 88893?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v + 13. Let s be w(3). Let z be (2\/10)\/(s\/(-50)). Find i such that 0*i + 3\/4*i**3 + 0*i**4 - 1\/4*i**5 + z*i**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2256 from 33.533382.\nAnswer: -2222.466618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 69. Let j(t) = -212*t**2 - 12*t - 38. Let z be j(l). Round z to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(704)*2*-2 - sqrt(704))*-2*-5*4*-4)**2.\nAnswer: 16220160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3591\/63 + (1 - -17) - (4 - 4\/4).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhc when four letters picked without replacement from ccccccccchcccchhcc?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10436 and 798840?\nAnswer: 2084173560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + -81 + -68 + -5 + -22.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1128 = 109*t - 1034 - 18 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.381881261 to three decimal places.\nAnswer: -0.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 3, m: 7, r: 3, k: 2, o: 1}. What is prob of picking 1 m, 1 k, and 1 p?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19390000 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*h**4\/7 + 39*h**3\/7 - 51*h**2\/7 + 29*h\/7 - 6\/7.\nAnswer: -(h - 1)**3*(11*h - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9436 or 9469?\nAnswer: 9436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 + 3 + (-8 - -7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166501461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 89, 798 in decreasing order.\nAnswer: 798, 89, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8506, 17012, 25518?\n\"Answer: 8506*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1)\/((m*m*(m**(-5)\/m)\/m)\/m)*(m*m**(2\/5))\/m**(-1\/11)*(m**(1\/2))**30*(m\/(m**0*m*m))\/((m*m*m*m**(-6)*m)\/m) assuming m is positive.\nAnswer: m**(1457\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322550125 + 4?\nAnswer: 322550133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10943030 to the nearest integer?\nAnswer: 3308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 175\/12*n**4 + 1\/3*n**3 + 22*n + 0 - n**2. Does 25 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:44 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700720445.\nAnswer: 5, 83, 1019, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207.000089 - -207. Round a to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719462.\nAnswer: 2, 359731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3, 0*r - 15 = -4*r - g. Suppose f + r = 4. Suppose 5*s - 3*y = y + 3267, f = -4*s + 4*y + 2612. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/12789 and 25\/8?\nAnswer: 102312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -24438*d + 24508. What is h(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a + 17. Calculate y(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*r**3 - f*r**2 + f*r + 137*f + 21*r**3 wrt r.\nAnswer: 12*f*r - 2*f + 126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvm when three letters picked without replacement from jtjvvmjjjmvi?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 30. Let b be p(-11). Suppose -h = -0*h, 0 = 4*o + 4*h. Let t = -46 - -48. Solve f = -0*c + b*c - 2, o = -f + t*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o - 3. Suppose 0 = -10*q - 526 + 476. Let k(a) = -51*a - 5. Calculate q*h(l) + 3*k(l).\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17\/3, 0, -1\/43, 2\/15 in increasing order.\nAnswer: -17\/3, -1\/43, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -81. Calculate the remainder when 27 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:40 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/12 + x**5\/20 - 7*x**4\/24 + 1739*x**3\/2 - 3*x**2 + 6*x. What is the derivative of h(k) wrt k?\nAnswer: 30*k**2 + 6*k - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 13) to base 7\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*o + 3*o - 12, 0 = 4*o. Let s be (18 - 21) + (8 - 0) + -3. Let t(u) = 0*u + 0*u - s*u + g*u. Let q(v) = -5*v. Give q(t(r)).\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 3. Let o be (-33)\/15 + 1\/5. Let c = o - -4. Suppose 4 = -x - c. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 4*z - 5*z + 6. Let t be s(-3). Solve l - t - 4 = 4*b, -l - 5*b = 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 1409 (c) -48 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 649.7 - 649.693146. What is o rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 13 = 25*d - 22*d, d + 4*a = -13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 453.8, 0.3?\nAnswer: 453.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(6)*-5)\/(sqrt(99)\/(sqrt(44)\/sqrt(4) + sqrt(11))))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/35838 and -65\/191136.\nAnswer: 573408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 774, 3083, 6932, 12321, 19250, 27719, 37728?\n\"Answer: 770*v**2 - v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3862)\/408 + -4*18\/612 and 25\/1448.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6336285 by 3205.\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53987737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m - 3. Let s be o(3). Suppose -6*c + s*c + 6 = 0. Factor 5*f - f**5 - 25*f**c + 2 - 4*f**3 + 12*f**2 + 15*f**2 - 4*f**4.\nAnswer: -(f - 1)*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + 74 + -85\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1345 = 5*o + z, -2*o + 3*z + z + 560 = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6092*x + 18268. Determine f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2503 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*s + 35. Let y(m) = -11*m - s*m + 2*m - 2*m. Let i(n) = n**2. Give y(i(d)).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -121*z**6\/30 + 33*z**5\/10 - 9*z**4\/8 - 11*z**3\/3 + 235*z. Let h(t) be the second derivative of f(t). Factor h(b).\nAnswer: -3*(22*b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 0*l**2 - 8\/3*l**3 + 1 + 5\/4*l**4 + 0*l. What is the third derivative of r(z) wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3.7. Which is the biggest value? (a) 2\/5 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*r + 20, 16*n + 6 = 4*r + 14*n. Let g = 307.3 + -307. Which is the biggest value? (a) g (b) -27 (c) 3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136) + sqrt(136) + sqrt(136)*-4 + sqrt(136)))\/(sqrt(8) + sqrt(8)*-4*-6)*-5.\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/50 and (-2)\/10 - ((-6595)\/(-600) - 11).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82499846?\nAnswer: 2, 11, 13, 288461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddpd. What is prob of picking 1 p and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130.997468 + -131. What is z rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 8*k + 3. Let u be h(7). Suppose 5*n = r + 5, -3*n + 2*r = -0*r - u. Is 0 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1773, -0.1, -4.\nAnswer: -1773, -4, -0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -373, -8, 5946?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 17*n**2 + 7*n + 31. Let g be t(16). Let o = g - 243. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 11*z + 6. Let s(d) = 3*d**2 + 10*d - 5. Let v(k) = k**3 + k. Let y be v(1). Let j(l) = y*f(l) + 3*s(l). Determine j(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8))**10 assuming a is positive.\nAnswer: a**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454937 - 438398 = 149*l for l.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917994341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74130 or -73320?\nAnswer: -74130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 949 and 1694257?\nAnswer: 22025341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 - g**5\/20 - g**4\/6 - g**3\/3 - 2*g**2. Let b be h(-2). Let t(s) = b + s + 3*s - 5*s. Determine t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174.7 rounded to the nearest ten?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282666 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 - 4. What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - a**2 + 32044524*a - 32044524*a.\nAnswer: -a**2 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -9. Let s = g + -0.5. What is the second biggest value in s, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -311*y**3 + 201*y**2 + 4*y**4 + 760*y - 213*y**2 + 55*y**3 + 512.\nAnswer: 4*(y - 64)*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2633 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsss when four letters picked without replacement from {s: 5, j: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522015 and 39?\nAnswer: 522015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -42*t - 161 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -9. Let l be 20\/(-6)*g\/(-4). Suppose -2*k = l - 29. Calculate the highest common divisor of 60 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 27*s**2 - 6*s - 155. Give h(-28).\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7699*c**2\/2 - 1911*c\/2 = 0.\nAnswer: 0, 1911\/7699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1070 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5445, -4, 5, 2\/7, -1\/3, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 288ab?\nAnswer: 288ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4\/83, 543, -0.5, -1\/4, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + -1 - ((-16)\/((-176)\/121) + -18973) is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.7. Let u = 5.8 + -6. Let b = x + u. Sort b, 5, -5.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.4. Let x = o + 3. Let n = 0.0315 + -0.0315. Which is the closest to n? (a) 1\/8 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k - 82*k - 649 + 3*k**2 + 189 + 72*k in the form n*k + i + p*k**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**5\/5 - 176*b**3\/3 - 11411*b - 12264. Differentiate a(d) with respect to d.\nAnswer: 8*d**3 - 352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50360000 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, e: 2, u: 1, h: 2}. What is prob of sequence hv?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(18\/12*-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -2.4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m - 130938 = -132104 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2407500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2*(-7)\/2). Let x be 76\/(-10) - 28\/70. Let r be (-2)\/(-4) - (-4)\/x. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. What is the second smallest value in 0.4, 1\/3, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -30.43. Let q = a - 0.14. Let y = 0.71 + q. Is -30 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**6\/12 - 4*b**5\/5 + 11*b**4\/4 - 4*b**3 + 9*b**2\/4 + 7. Determine w so that j(w) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - 2*d)*(-d - 5*d - 11*d).\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2833 is divided by 601?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*m**3*q*s - 68*m**3*s + 35*m**3 - 7*m**2*q wrt s.\nAnswer: 28*m**3*q - 68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z. Let m(o) = -o**3 + 2*o**2 + 1. Let w be m(2). Let n be (-66)\/55*w*-5. Let b(d) = -7*d - n*d + 10*d. Calculate a(b(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 250466212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22470)\/(-1500) - 15)*4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*a + 172*a - 236 = 0. Find the third derivative of 4*d**2 - d + d + 5*d**3 + 119 - a wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 465 = 5*r, -5*r - 425 = 3*u + u. Let l = -30 - r. Suppose 4*y - l = -3. What is the remainder when 27 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1946 and -13618\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 6205382 + 6205382.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27772 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25517*b**3 - b**2 + 1030*b - 3?\nAnswer: 153102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3\/(-102)*1). Suppose 0 = -j + n - 32. Solve 5 = -l - 4*g, -j*g + 1 = -3*l - 0*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 173, 611, 1345, 2375?\n\"Answer: 148*b**2 - 6*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 62. Let x = -0.2 + 0.3. Which is the biggest value? (a) x (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 1755, 6457, 15621, 30735, 53287?\nAnswer: 84765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -0.4, 10, 65, -2 in decreasing order.\nAnswer: 65, 10, -0.4, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -963 and -0.4.\nAnswer: 385.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*-675.\nAnswer: 30375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59504, 106549, 153594?\nAnswer: 200639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 33 = 4*w, -11*d = -7*d - w + 217. Let p = d + 53. Solve s = -p + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1010.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y. Let h(p) be the third derivative of -2*p**2 + 0 + 0*p**4 + 15*p + 1\/12*p**5 + 0*p**3. Determine h(l(w)).\nAnswer: 125*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 27 + 37 = 0, -5*k = -4*i - 75. Solve 25 = -5*x - 5*a, k = -5*x - 25*a + 27*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*x = 286*x - 80. Put x, 1, 51, 0, -1 in decreasing order.\nAnswer: 51, x, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150 - 1137 = 13*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -5*x - 30. Suppose -3 = -3*z + 9. Suppose x = z*n - n. Which is the third smallest value? (a) n (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272*t**5 + 737*t - 170*t + 385*t + 518*t**5 wrt t.\nAnswer: 4920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 2, u: 6, m: 3}. What is prob of sequence umu?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 85. Let f(c) = -b + 6*c**2 + 12*c**3 + 4*c - 10*c**3 + 2*c. Let k(o) = -5*o**3 - 13*o**2 - 13*o + 11. What is -13*f(a) - 6*k(a)?\nAnswer: 4*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 4 - (2 - (3 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9013\/40 - -1116\/5. Is 2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82 - 32*d + 38 + 44 + 31*d**3 wrt d?\nAnswer: 186*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4815845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 412 = -402, g - d = 5 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14086 rounded to the nearest one hundred?\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556*h + 4*h**3 - 5*h**3 - 1781*h.\nAnswer: -h**3 - 225*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. What is the closest to -0.1 in i, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -19968775\nAnswer: -3\/19968775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 - 2*n + 1. Suppose 10*o - 5 = 11*o. Let i be p(o). Let g be (4 + -1)\/(i\/(-77)). What is g rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*((-21)\/(-9))\/(-7). Suppose -44 = -2*z + i*o, 2*z + 5*o = -0*z + 35. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 638, 1106, 1584, 2078, 2594, 3138, 3716?\nAnswer: 4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*p + 50, 1 + 12 = q - 2*p. Suppose -q = -4*i + 33. Calculate the remainder when 40 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16110\/7 - 2302. Let m be (1 - 2)*(-3)\/5. Which is the third smallest value? (a) 5\/2 (b) m (c) 1\/9 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + q - 114*q**3 - 83*q**3 - 5*q**2.\nAnswer: -197*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*y - 200*y + 84 = 0. Let j be -1*3\/((-21)\/y). Let x(z) = z**3 - z**2 - z - 1. Calculate x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 43446.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 + 7*m - 3. Let n be l(-3). Suppose -4*r = -n*r + p - 36, 41 = r - 4*p. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 7*c + 2. Let a be q(-9). Let v be a\/(-7) - (-14)\/(-49). Suppose -v*f - 2*f = g - 40, 52 = 3*g - 5*f. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 2. Let n = 0.319 + -0.319. Let u = 1 - 0. What is the nearest to u in n, z, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 4 (c) -53 (d) 2\/5 (e) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z**3 + 465808*z**2 - 2143180*z - 931800 = 0.\nAnswer: -23295, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/15 - t**4\/6 + 7*t**3\/6 - 5*t**2. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - 197. Let p = o - -265.93. Which is the closest to -1? (a) p (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988817255?\nAnswer: 3, 5, 5581, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:52 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 9}. What is prob of sequence ssds?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q + 4*o, 0 = -5*q - o - 2 - 3. Let k be (q*(-2 + 0))\/((-14)\/(-21)). Let z = -8 - -11. Solve -2*c - 2*c + k = -3*f, z*f = 2*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 93874\/(-143) + 2\/2. Let i = -655 - g. Is 2 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiimmitimmmiimmmmit.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.94 + 1.44. What is the second biggest value in q, 0.3, -3\/2, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Suppose -3 = -b*f, x = 2*x - 4*f - 33. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6512630 divided by -112?\nAnswer: 3256315\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2. Let y(s) be the first derivative of -1\/2*s**2 - 3 + 0*s. Give q(y(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 16.9. Let g = -15.6 - m. Which is the closest to -1? (a) 0.3 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 33*t - 12 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -15908*w + 15465. Give d(1).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*w = -567*w + 4*m + 16, 0 = 5*w + 2*m + 8. What is the second smallest value in -11\/4, -84, w?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -92. Let m be ((-98)\/28*(3 + 1))\/1. What is the remainder when 144 is divided by (-6)\/m + (-1536)\/l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/4 - g**3\/3 + 17*g - 2. Let l be n(0). Let a be ((-51)\/6)\/(2\/(-28)). Calculate the greatest common factor of a and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Let l(v) = 2*v**2. What is -6*l(k) - 5*y(k)?\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, i: 7}. Give prob of picking 2 i and 2 k.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 2*j**2 + 320*j + 990. What is g(-3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/30 + 3*t**2\/2 - 4*t. Let w(y) be the first derivative of p(y). Let u(b) = b**2. Give u(w(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -764 - -760. Let t(p) = 3*p**2 + 6*p + 11. What is the remainder when 115 is divided by t(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 9*m + 14*m + 61 - 40 - 4*m.\nAnswer: 19*m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:59 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 6*b - 5. Suppose 0 = -d - 11 + 17. Determine h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762088.\nAnswer: 2, 37, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1030 divided by 515.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*q - t - 8, 3*q + 4*t - 35 = 0. Let g be -4 + 42\/5 + q\/15. What is the second derivative of 5 - 5 + 11*u**5 - g*u + 14*u wrt u?\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/12)*(g\/(g**(-2\/13)\/g*g))\/g*g)\/(g**(1\/15)*g*g**(1\/3)) assuming g is positive.\nAnswer: g**(-257\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 59 + 375 + 10)*(-2*k - k + 4*k).\nAnswer: 408*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114333.00105161 + -114333. What is y rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5229.06057 + -5229. What is t rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-12)*8\/(-6). Let c(n) = -535 + 263 + 266 - 4*n**3 - 35*n + 3*n**3 + 13*n**2. Let b be c(9). Sort -1\/11, b, f, -0.3.\nAnswer: -0.3, -1\/11, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10268 times -4\nAnswer: 41072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/144 and -37\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/((-4732)\/(-42))*(-10)\/(-18).\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90.924 + -0.076. Let z = k + 92. What is the third smallest value in 2, z, -0.4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 + (-8424)\/110. Let j = -76 - k. Let r = 0 - -0.4. What is the biggest value in r, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4549908 and 151\/264.\nAnswer: 9099816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 65. What is the tens digit of (-3 - 58\/(-6))*(-24)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*d - 1. Suppose -4*c - q = -3*c - 16, d*q - 13 = -c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.9 + -1.1. Let r = 4.5 + d. What is the nearest to -0.2 in -2\/13, r, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(2 + sqrt(2))*-1 + 2) - (-2*sqrt(72) + 0 - sqrt(72) - (sqrt(18) + -2)*-3)**2.\nAnswer: -174 - 99*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9861794*b**3*f - 3*b**3 + 1628388*b**2 wrt f.\nAnswer: 9861794*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1200 + -112?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11038818 divided by 6.\nAnswer: 1839803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 19 = -3. Sort j, -10, -2.\nAnswer: -10, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17719908 is divided by 193?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15059515.\nAnswer: 5, 1291, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 6. Let f be l(6). What is c in -f*c**2 + 3*c**3 + 11*c - 7*c + 8*c = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*h - 45*h + 105*h)*(2*h + h - h) as d + v*h + b*h**2 and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 29. Let s(z) = -2*z - 24. Let g = 356 + -350. Let d(y) = g*s(y) + 5*p(y). Let j(i) = -4*i. What is d(j(h))?\nAnswer: -12*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*b + 9*b + 1269. Calculate the lowest common multiple of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 199*n - 8962. Calculate p(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u*u*(u*u**0)\/u*u))*u*u**(-3\/2)*u*(u*u**(7\/2)\/u*u)\/(u*u**(2\/23)))**(-18\/11) assuming u is positive.\nAnswer: u**(-3276\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9807 is divided by 223.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3459881.\nAnswer: 19, 182099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524729293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -19, -41, -77, -133, -215, -329, -481?\n\"Answer: -k**3 + 2*k**2 - 13*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/4 + 33*g**4\/4 + 115*g**3\/4 - 1185*g**2\/4 + 556*g - 297 = 0.\nAnswer: -27, -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2194321 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 15*d**2 - 12*d - 8. Let n be f(8). Let g = -41 - n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 + -65 - -53) + -63.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o + 52. Let f be u(-6). Solve 4*t + f = -d, 0 = -5*d - 2*t + t - 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4163151633 to the nearest integer?\nAnswer: 64522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246.97 + -247. Which is the closest to 1? (a) 4 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*y + 42*y + 183. Let p = 55 + y. Let v(j) = j**2 + 5*j. Determine v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8*z = 352, d = -3*z + 2*z + 166. Does 42 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1742*v - 1721*v + 1 - 1 + 3460*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-216)\/(-16)*(-4)\/(-6). Let s = 126 - r. Suppose 3*o + s = 2*c, -c + 3*c - 2*o - 112 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 7*k**5\/15 + 2144*k**2. Let w(u) = 91*u**2. What is t(w(l))?\nAnswer: 231868*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 42*q**2 - q - 24*q**2 + 2*q + 22*q**2.\nAnswer: -44*q**2 + q + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*s**5 + 17*s**5 - 21*s - 18*s - 13*s**5 wrt s.\nAnswer: 520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*w - 1, -5*u - 125*w + 122*w - 7 = 0. Let q(k) = k - 1. Let t(v) = -4*v**2. Let l = 2 - 0. What is l*t(i) + u*q(i)?\nAnswer: -8*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*a = -7*a + 1440 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4876 - 20399 = -25*h. Suppose -100 = -11*p + h. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2838710.\nAnswer: 2, 5, 7, 107, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28 + 11.28. Let p = b - 6. Let z = 2257.1 + -2259.1. What is the second smallest value in -4, -1\/5, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 6137 + -3004. Calculate the highest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 296. Let w = -70 + 100. Calculate the remainder when (-22)\/(-3)*z\/w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-207)\/(-36) - 6) - 651\/(-279).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) + (-68)\/12. Let m be x\/(((-7)\/(-28))\/((-4)\/6)). What is the greatest common divisor of m and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/((-6)\/(-56)). Suppose -d*q = -17*q + 60. Let l be (350\/q)\/((-1)\/(-2800)). Round l to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 2, y: 5, m: 1, n: 3}. Give prob of picking 1 g, 1 m, and 1 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 100*r**2 + 7905*r.\nAnswer: -5*r*(r - 31)*(r + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {f: 3, k: 5, x: 1, g: 2, h: 1, j: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5470934842.\nAnswer: 2, 89, 30735589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p - 3. Let d(w) = 6*w + 3. Let n(u) = 2*d(u) + 3*j(u). Let o(m) = 3*m + 2. What is 3*n(a) + 5*o(a)?\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((49 - -1)\/5)\/2. Let b be 5\/d - -4 - 1. Suppose -c + 5*t = 20, -30 = -0*c - 5*c - t. Solve -5*m - 35 = -5*f, -b*f + 15 = -c*m - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62647, -125330, -188013, -250696, -313379?\nAnswer: -376062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 514*j**2*l**3 - 144*j**2*l**2 + 3*j*l**3 - 3*j*l**2 + 365*l**3 - 1442 wrt l?\nAnswer: 3084*j**2 + 18*j + 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -22. Let n(k) = 3*k + 4*k - 1 + 3*k**2 - 5*k. Give n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.2 + -5.7. Suppose 8*n - 3*n - 95 = 0. Suppose 3*s = -t - 14, -4*t - 3*s - n = -2*t. Which is the third smallest value? (a) 1 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 553, 1127, 1723, 2341, 2981?\n\"Answer: 11*h**2 + 541*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52300888 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6677*f**2 + 723*f. Let g(m) = 2*m. What is r(g(o))?\nAnswer: 26708*o**2 + 1446*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 426007536 a multiple of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 533 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063 times 0.2?\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 434 and 1488.\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210126 (base 7) to base 5.\nAnswer: 14404413","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + 4*(sqrt(13) + (sqrt(117) + sqrt(117)*2)\/sqrt(9))*-1)*-2.\nAnswer: 9 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31650 (base 7) in base 16?\nAnswer: 1ec3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 236.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -50.\nAnswer: -50, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (13258\/(-99435))\/((2\/(-6))\/(2\/(-22)))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21261756 - -4975202587\/234. Let d = p + 2750\/13. Calculate the common denominator of d and ((-2160)\/(-32))\/45 - 82\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhfhhhlhh. Give prob of picking 1 l and 1 h.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 8*g + 9. Let h be t(-7). Let o be 3\/(-1) + 0 + h. What are the prime factors of -4 - -7 - 5*o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -15. Let k be -2*a\/((-4)\/12). Solve -7*y + 3*y = -3*m + k, -3*m = -y + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28496647*p**2*u - 37*p*u + 12*p + 5*u - 5783 wrt p.\nAnswer: -56993294*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*n = 94 - 112, -4*n - 8 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(1\/(7\/(-7))). Suppose 122 = 5*f + 4*q, -r*f + 3*q = -2*f - 79. What is the remainder when 35 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)**(-20))**(-10)\/((h**(1\/3)\/h)**(-7)*(h**(-2))**(4\/3)) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18374 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 740*a - 737*a. Calculate the greatest common divisor of 688 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(1914\/(-12) - -2). Suppose -12*m - b = -17*m. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5228871 and 12726.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 124, 135, 148, 163?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 73.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2892 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 x when three letters picked without replacement from {f: 1, x: 2, z: 1, p: 3, j: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/16332 and -61\/274922?\nAnswer: 1649532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 27 = -3*w, 229*w = -2*i + 233*w - 10 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -35. Let g = 166 + -167.54. Let s = -1.64 - g. Which is the second biggest value? (a) s (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 50625271?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 83283*a. Let k(m) = -2*m**2. Give q(k(r)).\nAnswer: -166566*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2*g**3\/3 + 150. Let p(n) = 278*n**2. Give p(m(q)).\nAnswer: 1112*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205816588?\nAnswer: 2, 19, 101, 26813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2041003410 (base 5) to base 4.\nAnswer: -100021321213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 699 - 454. What is the greatest common factor of 140 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1144)\/11 - -14. Which is the second biggest value? (a) u (b) -18 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v - 51*v = -22*v + 243 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 14. Determine g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.3 (b) -17 (c) 3\/4 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216042 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-70) + (-108)\/(-15)*4. Suppose u*h - 26*h = 18. Suppose 0*y = h*y - 1686. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2)*a))\/(a*a**37*a*a) assuming a is positive.\nAnswer: a**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2 + 11*w + 3. Is n(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -15, 3, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*h**2*j*y**3 - 320*h**2*j*y - 4*h*j*y**2 - 3*h*j*y + h*y**3 - 246*h wrt h?\nAnswer: -300*j*y**3 - 640*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 8*n**2 - 15*n - 15. Let k(y) = 14*y - 2. Let r be k(1). Let h be x(r). Let l = 72007\/15 + h. What is the common denominator of l and 10\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a08c (base 13) to base 16.\nAnswer: 7bee7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 48 = -4*l + 52 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136996977?\nAnswer: 3, 13, 37, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pip.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2513 + -2373. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 105.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -13*n**5\/5 + 15*n - 23. Differentiate k(y) with respect to y.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878745359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19981513?\nAnswer: 197, 101429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 2\/3*l**3 - 5*l**2 - 1\/6*l**4 + 6 + 0*l - 1\/60*l**5. Let o(m) be the second derivative of g(m). What is o(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 0 = -5*d + 3*d + 10. Suppose 0 = -56*s + 55*s + d. Solve -3*t = -4*a + 9, -t - w*t = s*a + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - -7 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k + y - 34 = 13*k + 2*y, y + 1 = -2*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3 + 13*f**2 + 2*f - 11*f**2 - 4*f + 0*f. Let l be o(2). Suppose -1 = l*q - 22. Solve -9 = -q*w - 0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702573?\nAnswer: 1702573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -30102260*t + 256536. Let g(z) = -4107*z + 35. Let o(q) = -36648*g(q) + 5*y(q). Let m(l) = -2*l**2. Determine m(o(p)).\nAnswer: -8290592*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + 792*p**3 - 171*p**3 + p**2 - 415*p**3 - 5*p as w*p + l*p**3 + d + f*p**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1169 less than 1?\nAnswer: 1.1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 + 238. What is the greatest common factor of 25 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-12)*a\/(a**(-4\/15)\/a))\/(a*a\/(a**(-7)*a)*a\/a**(-1\/10)))**38 assuming a is positive.\nAnswer: a**(-2147\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**2\/9 + 20*n + 224 = 0.\nAnswer: -24, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4.35 (c) -1\/3 (d) 22 (e) 9 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) 294\/37 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -0*f, -2*z - 4*f = 8. Let m(n) = n**2 - 1 + 2*n**z + 1. Let x(k) = -2*k. Calculate x(m(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5035 and 142570?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 3*v**2 + 7*v - 3. Let y(i) = 6*i**3 - 8*i**2 - 20*i + 8. Let w(r) = -14*s(r) - 5*y(r). Factor w(p).\nAnswer: -2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 35*w - 15625. Give a(-80).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16662\/(-15)*(2 - (-36)\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84600000 rounded to the nearest one million?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**5 - 1185*o**4 + 47265*o**3 - 90955*o**2 + 44880*o = 0.\nAnswer: -272, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32444704 by -3268.\nAnswer: -9928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310864 - 310863.999873687. Round c to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117 + 17 + 28 + 5*v - 7*v**2 + 40 to b*v + k + i*v**2 and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-420))\/((-4)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-19)*c)**21 assuming c is positive.\nAnswer: c**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 79. Suppose -p*h + 271 = -33. Let g = h - -34. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.43 * -255.2\nAnswer: -7000.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20836 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96413914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k + q + 194 = 0, 5*k - 244 = 2*q. Let t be 6\/(-21) - k\/(-70). What is the third smallest value in t, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:44 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 0. Suppose -14*l + 5*l = 0. Solve l = -j*a - a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000432248 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -170, -185, -202, -221?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.55 - 0.45. Suppose -5 = 2*f + 5*d, -15 = 2*d + 3*d. Suppose -f*j + 5*p = -0*j - 45, 8 = -3*j - 4*p. Which is the biggest value? (a) j (b) 27 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8 + 6) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8*s + 83 = 7*s, -3*s = 5*o - 71. Suppose -2*l - 21*a + 76 = -o*a, -l - 3*a = -40. Is l <= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:48 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (0 - 1) - 2. Let h be g\/(-4) - (-1)\/(-4). Which is the closest to -0.1? (a) -3 (b) -2\/23 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 296, 650, 1114, 1670, 2300, 2986?\nAnswer: 3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -691 - 689 - 233*d + 1380 to the form z + g*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 933*j - 1498*j + 10468*j to the form t*j + l and give t.\nAnswer: 9903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 11:01 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 40 + 64 = 0. Differentiate l*m**2 + 6 + 19 + 27*m**2 - 4 with respect to m.\nAnswer: 70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1761 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, m: 5, e: 9, g: 1}. Give prob of sequence qm.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**3 + 6*u**2 - 4*u - 7. Let m(z) = -4*z**3 - 7*z**2 + 5*z + 7. Let y(a) = 5*m(a) + 6*s(a). What is the second derivative of y(j) wrt j?\nAnswer: 96*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b**3 + 498*b**2 + b - 2. Let q(j) = -7*j**3 + 166*j**2 - 1. Determine 2*o(p) - 7*q(p).\nAnswer: p**3 - 166*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 49*u - 1 = 0, 13 = -5*l - 3*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1373 greater than -1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*f + 84*n - 79*n, 0 = -2*f + 3*n + 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18951 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200200 - 1002?\nAnswer: 2122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181cd0 (base 14) in base 16?\nAnswer: cf9fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 722, 668, 612, 554?\n\"Answer: -t**2 - 51*t + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.4 + -8.9. Let i be 337\/(-84) - (-1)\/4. Let w = 24\/7 + i. What is the closest to w in 13, y, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-10))\/(2\/8). Suppose 5 = -z - 4*h, 0*h - o*h + 35 = 3*z. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 261 = -x, 2*t = 3*t + x - 126. Calculate the remainder when t is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z. Let s(c) = -c**3 - 12*c**2 - 10*c + 13. Let j be s(-11). Let p(x) = 10*x**j - 6*x**2 - 5*x**2. Determine p(v(m)).\nAnswer: -225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - i + 26, -3*y - 316*i = -5*y - 318*i - 8 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -73. Put -2\/13, v, -4, 0 in increasing order.\nAnswer: -4, -2\/13, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 210\/55 + -4 - (-4)\/22. Suppose 0 = -5*b + 2*k + 88, 5*b - 91 = -s*k - k. Suppose 20 = -m + 5*m. Solve -5*h = 4*o + m, -b = -4*o + 3*h + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -158\/7 (b) -1 (c) -4\/5 (d) -5 (e) -0.032\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 65*f + 687. Give h(40).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 472*s - 60. Let t be h(-20). What is t rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28014893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + 9*j)*(-2*j**2 - 2*j + 2*j) - 2*j**3 - j**3 + 0*j**3.\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 235 + 243 - 2*s**2 - s + 238 + 146*s**2 - 725 as y + b*s + z*s**2 and give z.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -35108*d + 395. Is s(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be ((10\/3)\/(-2))\/(9\/(-297)). What is the remainder when 122 is divided by (7\/(154\/b))\/((-1)\/(-10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) -4\/5 (c) -0.43790948\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7*y - z = -217, -4*y - 2*z + 292 = 0. Let d = -8 + 20. Calculate the remainder when y is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 0*u + 13*u - 2*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*((l**(-5\/12)\/l)\/l)\/l*l\/(l*(l*(l*l\/((l\/l**21*l)\/l*l*l))\/l*l*l)\/l))\/(l**(-7)\/(l\/(l\/l**19*l))) assuming l is positive.\nAnswer: l**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011965 rounded to four dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844868.\nAnswer: 2, 211217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020021221101 + -1?\nAnswer: 2020021221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1973621, -1973622, -1973623, -1973624?\n\"Answer: -h - 1973620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/69220 and 26\/55.\nAnswer: 761420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2. Let p(r) = 19*r**2 + 354*r + 21. Let l(c) = 6*c**2 + 117*c + 6. Let u(x) = 7*l(x) - 2*p(x). Determine u(i(f)).\nAnswer: 36*f**4 + 333*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 m, and 1 a when three letters picked without replacement from gmtffptgmtagtft.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p - 3. Let v be a(-2). Let b = -931 - -937. Suppose 171 = 2*r - 4*u + u, -2*u = b. Calculate the greatest common divisor of v and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*583.94\nAnswer: 175.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-12)\/(-15)) - 277137\/55431. Let w = -18875\/1225641 + d. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-16))\/((-7)\/12). Let o = 130.8 + -131. Put m, o, 2 in ascending order.\nAnswer: o, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.164965 - -10.164295. Let j = h + -10. Round j to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {t: 2, l: 5, v: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 10:04 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325 + 709. Is 32 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59634 and 8633678.\nAnswer: 6626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.8862 to zero decimal places.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 + 31*r - 6. Let p be l(0). What is the second smallest value in 1\/5, p, 0.4, -0.17, 14?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 464\/(-26) + (-4)\/26. Let r be 1\/(3\/h*-3). Suppose -17 - 5 = -r*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 0 + 2 + -6 + 2 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 + 0*g**5 - 2*g**5 + (-4*g**4 + 4*g**4 - g**4)*(-1 + g + 1) - 5*g**4 + g**5 + 5*g**4.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 >= 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3206, 6460, 9712, 12962, 16210?\nAnswer: 19456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126 is divided by 121.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -6259485 and -6259484 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4714786 (b) -4 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1060, 2093, 3126, 4159, 5192?\n\"Answer: 1033*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - z. Let d be b(-2). Let y be (7\/((-175)\/d))\/(2\/20). Let r(w) = w**2 - 5*w + 3. Let k be r(5). Solve x - k*x - y = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 39*o**2 + 76*o - 79. Let u be i(37). Sort 0, 205, u.\nAnswer: u, 0, 205","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from yxyydawdazyx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 10*o - 55*o - 7*o.\nAnswer: -73*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 659412*p**3 + 19780560*p**2 - 197799600*p + 659322000.\nAnswer: 3*(p - 219774)*(p - 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250806 * -0.9.\nAnswer: -225725.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 25*z - 288. Suppose -11*i = 5*i - z. Solve -i*p - 17 = -2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.07\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121*0.31.\nAnswer: -37.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1098)\/(-12)*(-2 - 0). Let m = -123 - q. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15479324.\nAnswer: 2, 7, 552833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.031 + -39. Let a = 0.031105 - o. Round a to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7261489 = 91*p - 393522. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 306342336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36\/5 - -7. Suppose -p = -2, -5*g + 5*p + 2 = -3. Which is the closest to k? (a) -0.3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*106\nAnswer: 31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3448992?\nAnswer: 2, 3, 37, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 1 = 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651672 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:34 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = -g, -2*x - 40 = 4*g + x. Let i(h) = h**2 + 7*h. Let j be i(g). Solve 3*z + z + 16 = j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 61*u - 37. Let w be n(-5). What is the common denominator of w\/16*(-34)\/255 and 47\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 3*j + 6, 0 = 1708906*p - 1708903*p - 5*j - 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 92 (b) 3\/7 (c) 93 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 + 537 = 7*b. Suppose -219*p = -b*p + 27005000. Round p to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60032914 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x**4 - 27*x**3 - x**2 + 12*x + 78. Let y(p) = -2*p**4 + p**3 - p**2 - 2*p. Let u(i) = -o(i) - 6*y(i). Find the third derivative of u(q) wrt q.\nAnswer: -72*q + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175 or 165?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1\/2, 1\/5, -0.3, -120, 0.79, 48?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000024712 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1050 - -1055. Let n = 5 + -1. What is the closest to -0.1 in 3\/7, -0.1, n, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-141636)\/(-66990) - (-7)\/(-5).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/1734061 - 1026316485\/27744976. Let i = 276\/7 + s. Let p = 249\/4 - 107\/2. Find the common denominator of i and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccmmlcccxv. What is prob of picking 1 l, 1 m, and 1 v?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1205370 and 37170.\nAnswer: 8437590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 746, 753, 762, 773, 786, 801, 818?\n\"Answer: k**2 + 4*k + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 23*f**5\/30 + f**4\/24 - 2*f**2 + 9. Let c(b) be the second derivative of v(b). Is c(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 3*x + 10*x**2 - 3*x + 0*x**3 + x**3 to the form m + j*x**3 + o*x + w*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -338 + 338. Which is the nearest to -7? (a) x (b) -1\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.173 + -0.027. Round q to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n + 0*n)*(14 + 2 + 3)*((-2*n + n + 0*n)*(-6*n + 3*n + 2*n) + 2*n**2 + 2*n**2 + n**2 + (-1 - 1 + 0)*(6*n**2 - 4*n**2 - 3*n**2)).\nAnswer: 152*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/j**(2\/9))\/j*j*j)\/(j**2*j))\/((j**1*j)\/j*j**5))**(7\/11))**(4\/13) assuming j is positive.\nAnswer: j**(-140\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04973 * 19.\nAnswer: 0.94487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91696080*c**3 + 40794142*c wrt c.\nAnswer: 550176480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695, -678, -661, -644, -627, -610?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -430 + 507. Let r be ((-18)\/(-15))\/((-4)\/(-10)). Suppose 11 = r*o - 1. What is the remainder when x is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 7*r. Suppose 0 = -x - r*w + 2*w + 1, 5*w = -4*x - 22. Put 1, x, 0 in decreasing order.\nAnswer: 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z + 2*z + 5*l, -5*z + 50 = -5*l. Let c = -4 + 6. What is t in -2*t + z*t + c*t**3 + 4 + 3*t**2 + 5*t**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10907, -21856, -32805, -43754?\nAnswer: -54703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6179?\nAnswer: 2\/6179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -27 + 9. Suppose -i*f = 3, f = -3*x + 3*f + 50. What is the greatest common divisor of 248 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 29*n**6\/360 - 45*n**3 - 41. Let y(f) be the third derivative of t(f). Let l(m) = -m. Determine l(y(z)).\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Sort t, 5, -1, -2 in increasing order.\nAnswer: -2, -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -989153\nAnswer: 3\/989153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251124927.\nAnswer: 2251124927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j**(-1\/3))\/j*j)**(-17))**(3\/22) assuming j is positive.\nAnswer: j**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5842 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: Calculate prob of sequence hm when two letters picked without replacement from bhimihijiihbjbhhhh.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 120*i**2 + 500*i - 574. Determine c(124).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 1\/20*i**5 + 7*i - i**3 + 1\/2*i**4 + 1\/2*i**2 + 0. Let s be b(-7). Let j(f) = -f**2 - 5*f + 1. Calculate j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/15 + 29472*c\/5 + 229814\/3.\nAnswer: 2*(c + 13)*(c + 44195)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 24859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**3\/3 - 43*z**2\/2 - 65*z - 169. Let m be x(23). Let v(i) = 6*i + 4. Let n(o) = 6*o + 3. Determine m*n(a) - 3*v(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 1633*a + 17814. Determine m(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -201 (b) 105.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {u: 1, v: 2, i: 10, z: 1, f: 6}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 34266*w**3 + 13*w**2 - 5*w + 6. What is the tens digit of h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*l + 26*l - 454*l**2 + 425*l**2 + 2718 + 1908*l**2 wrt l.\nAnswer: 3758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/(8\/(-160)*2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 7*t**2 + 4*t + 1. Let y(w) = 3*w**2 + 16*w - 2. Let g be y(-5). Determine l(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 30 = 5*r. Let l(i) = 0*i - 2*i - 3*i + r*i. Let h(a) = -a**2. Determine l(h(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16797.84 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11798\/12 + (435\/18)\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5072887?\nAnswer: 181, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 69, 108, 171, 264, 393, 564?\n\"Answer: c**3 + 3*c**2 + 5*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**8\/168 - 17*i**7\/105 - 2*i**6\/3 + 10*i**5 - i**2 + 4832. Factor z(u).\nAnswer: -2*u**2*(u - 3)*(u + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189*c**2 + 100*c**2 - 81*c**2 - 471 + 359*c**2 wrt c.\nAnswer: 1134*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 385 or 381?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8437 and -2480904071.\nAnswer: -2480912508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112110121 (base 3) in base 4?\nAnswer: -13120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11020 - -11014. Is d at most as big as 392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -881113, -881111, -881109, -881107, -881105, -881103?\n\"Answer: 2*q - 881115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 51.3299 millilitres?\nAnswer: 0.0513299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 39*g + 16. Let a be v(8). What is the greatest common factor of 41 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/104)\/((-50)\/650)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/8)\/((-1)\/14). Suppose 0 = -3*s - c + 1. What is the units digit of ((-3)\/(s\/(-2)))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 14 - 116. Let s = c - -48. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 - 36288810501.\nAnswer: -36288810547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082413 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*d + 137 - 2004 = 0, 10 = -2*d. Let q = p + 1263. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100011001000101000101 (base 2) to base 10.\nAnswer: -9539909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1865 - 908. Suppose 0 = -6*p + x + 22113. Is 2*4\/(40\/p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*i*l**4*z**3 - 2*i*l**2*z**2 - 2*l**4 + 11*l**3*z**3 + l**2*z - 24*z**3 wrt l?\nAnswer: 312*i*l*z**3 - 48*l + 66*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 k when three letters picked without replacement from {j: 7, k: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f - 15. Solve -4*q = -7*q - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*l**2 + 8*l - 74525 + 74525 to the form c*l + r + g*l**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*2109\nAnswer: -210.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from {g: 2, m: 1, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 12:03 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/45*-32 - 1444\/152*8\/38?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -14*o - 7. Let d(p) = -7*p - 4. Let k(l) = -l**2 + 7*l + 11. Let h(x) = -x**2 + 8*x + 29. Let r be h(10). Let y be k(r). What is y*d(w) + 4*j(w)?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 7 + 1. Let b = 3 - -7. Calculate the greatest common divisor of p and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three sixths of a minute in seconds?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72001, -143996, -215991, -287986, -359981, -431976?\nAnswer: -503971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2. Let d(a) = 49*a - 782. What is k(d(g))?\nAnswer: 4802*g**2 - 153272*g + 1223048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -842 + 1705. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 10*k**2 + 6*k + 7. What is the units digit of x(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31580\/13 + -2431. What is the common denominator of m and 41\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 2*y. Let s(b) = 6*b**3 - 25*b**2 - 2*b. Determine 2*c(u) + s(u).\nAnswer: 4*u**3 - 25*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.3606 - -4.0076. What is h rounded to 0 dps?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1377)*-2 + sqrt(1377))*2 - (sqrt(1377) + (sqrt(1377)*-2 - sqrt(1377)))*2)*-6)**2 + 0)*-6.\nAnswer: -1189728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:49 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.77220385 rounded to one decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166 - 14432?\nAnswer: -14255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 12*t + 15*t)*(-6*t + 14 - 14).\nAnswer: -18*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(135)\/sqrt(5) + sqrt(3) + sqrt(3))*-3)\/((2*sqrt(1944))\/(sqrt(512)*-1)).\nAnswer: 4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7152910 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -48. Find the third derivative of -8*f**4 - 22*f**j - 5*f**2 + 13*f**4 wrt f.\nAnswer: -408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, 1\/149, 821.\nAnswer: -1, 1\/149, 23, 821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -30*m**2 + m + 7*m**2 + 2*m**3 - 2 + 12*m**2 + 9*m**2. Let a = 6 - 4. Calculate w(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 + -112?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25842494 by -2.\nAnswer: 12921247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64\/5 of a centimeter?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 5, 29, 3, -3, -2.\nAnswer: -66, -3, -2, 3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.63826 rounded to 0 decimal places?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13.45 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195535 is divided by 12453?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/((-4)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 9*j - 3*j)*(j - 1 - 2*j + 3*j).\nAnswer: 16*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224092 and 85192?\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15*(8\/12 - (2 - 1)). What is the fourth smallest value in -0.5, -0.3, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 4*z - 3. Let v be f(-3). Let w(p) = p**3 + 17*p**2 - 8*p - 122. Let h be w(-17). Let a = v + h. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.22 + 5.447. Let y = g - -52.173. What is y rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {l: 2, e: 1, t: 4, h: 1, y: 7, c: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187184 (base 11) to base 3.\nAnswer: -112121122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + -1 - -9. Let z = 9 - g. Factor -12*x**3 - 35*x**2 - 13*x - 11*x - 2*x**4 + 9*x**z - 8.\nAnswer: -2*(x + 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 1. Let f be y(1). Suppose -3*x = -a - 20 + 4, -f*x + 3*a + 20 = 0. Suppose -p - 3*b - 34 = -6*p, -b = -x*p + 23. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdm when three letters picked without replacement from {d: 1, w: 2, m: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.018 - -0.079\nAnswer: 0.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyynhnynyhnyhynyhy. What is prob of picking 2 n and 1 y?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32370825 and 6474165.\nAnswer: 32370825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -49*q**3 + 9*q**2 + 6*q + 4. Let f(o) = -16*o**3 + 3*o**2 + 2*o + 1. Determine 7*f(k) - 2*m(k).\nAnswer: -14*k**3 + 3*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 21*i - 200 = -25*i, 0 = 4*j - i + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1160)\/(-7 + 3) + (9 - 3). What is the greatest common factor of 72 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let q(f) = 2*f + 9. Let n be q(-6). Let k(l) = -l + 3. Let d be k(n). Let a(p) be the second derivative of p**3\/3 - p. Give d*j(t) + 5*a(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*r + 17 = 0, -t + 86546*r - 86549*r - 12 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9470.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 12. Determine o(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(1*-4))\/2. Let y(s) = s**2 - 20*s + 39. Let k be y(18). Let a be 3 - (-1 + -2 + k). Solve 3*l - 4*x = -13, o = -4*l - a*x + 13 + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (9 - (21 - 35)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 3*x + 4*x + 3488 - 3488 - 43*x**2 to the form h*x + o + u*x**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 9:41 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3710?\nAnswer: 370a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -211000011?\nAnswer: 210222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 3*l - 2. Let z be s(4). Let r(g) = z*g - 3*g**2 + 2*g**3 + 2*g - g. Is r(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 12*s**2 - s - 15. Give y(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311 + 310.5. Let t = 0.7 - 1. Sort 0.2, t, -2, q in increasing order.\nAnswer: -2, q, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2 (c) -3 (d) -1 (e) 2\/71 (f) -89 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -5*r**4\/4 - 17*r**3 - 55*r**2\/2 - 9*r + 4061. Factor s(z).\nAnswer: -(z + 1)*(z + 9)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706976?\nAnswer: 2, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(12\/381))\/((-1)\/(-94)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7536 and 67\/3468?\nAnswer: 2177904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -225. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (0 + (-5 - -2))) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = -3. Let g be (y + -1)*(-5)\/(-10). Suppose -3*h + 4*w + 2 + 35 = 0, -4*h + 2*w = -56. Solve g*m + 3*m = -h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*r**3 + 0 - 4 - 9364*r**4 + 5 + 9359*r**4 in the form d*r**4 + q*r**3 + s*r**2 + w + b*r and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1026106, 1 in ascending order.\nAnswer: 0, 1, 1026106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27979, 56516, 85051, 113584, 142115?\nAnswer: 170644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -1, -48, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:25 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 119. Are h and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180953?\nAnswer: 59, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 17*r - 8. Let i be w(5). Suppose 0 = i*g - 7*g + 340. Calculate the remainder when g is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 - 21646*q - 2958660 = 0. Calculate q.\nAnswer: -135, 10958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 + -0.15. Sort k, 4, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 - 8 = 101*t - 122*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1511, -1431, -1251, -923, -399, 369?\n\"Answer: 8*b**3 + 2*b**2 + 18*b - 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - b)*(-3*b + 2*b + 2*b) + 10*b**2 + 23*b**2 - b**2 - 4*b**2 - 3*b**2 + 5*b**2.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5251 is divided by 869.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*q = 2*i - 31, i - q = -1. Let u = 4.9 + 0.1. Let y = -5 + u. Which is the second biggest value? (a) i (b) y (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = 5*a - 7*d + 9, -a - 3*d + 1 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4 - 8 - f**2 + 1 - 8*f - 1. Let h be y(-7). Solve 2*n - n = -h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2507677.\nAnswer: 19, 59, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by -10520.\nAnswer: 17\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534 is divided by 663.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/46*8342\/12513.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 3*u - 11*u to the form f + x*u and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -94. Suppose -s*t + 47*t = 401541. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/4 - 1959*d**4\/2 - 97035*d**3\/4 + 850863*d**2\/2 - 1989240*d + 2952600 = 0. What is d?\nAnswer: -37, 4, 5, 1330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 321565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Let u(b) = -3*b**2 + 7*b. Let w(c) = -22*c + 18*c + 0*c**2 + 2*c**2. Let l(g) = -4*u(g) - 7*w(g). Give x(l(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t**2 - 1. Suppose 12*f = 14*f + 4. Let p(z) = -8*z**4 - 17*z**3 + 7*z**2 + 4*z + 7. Let w(s) = f*p(s) - 14*r(s). Determine u so that w(u) = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6227 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 119825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(48))**2 + sqrt(3) + sqrt(3) - ((sqrt(3) + sqrt(6)\/sqrt(2))*6 + sqrt(3))) + 1.\nAnswer: -11*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 1, e: 1, k: 3, i: 3, q: 2}. What is prob of sequence sk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -150. Suppose s = 2*v, -5*v + 0*s - 1 = -n*s. Put v, -24, -5 in decreasing order.\nAnswer: v, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(228))\/sqrt(12).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -12. Let u = -8 - n. Let j = -283 - -277. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/24 + 5*z**3\/6 - 4*z**2. Let d be y(0). Suppose 2*u - 15 = -9. Sort -4, d, u.\nAnswer: -4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 100023653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 12*r + 98 = 360, v + 1197*r - 1201*r + 46 = 0 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2*i + 2. Let v(d) = -2*d**2 + 5*d - 5. Let m(t) = -5*a(t) - 2*v(t). Let s(f) = 4*f**2 - 2*f**2 + f**2. What is m(s(u))?\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2232 + 103?\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**2*w**4 - 22*t**2*w + 172875*t*w**5 - w + 1501 wrt w?\nAnswer: -84*t**2*w**2 + 3457500*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {y: 11, s: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*h**2*p - 3*h**2 + h + 233*p - 2 wrt h?\nAnswer: 192*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(1573) + 4 + (sqrt(1573) + -3)*1).\nAnswer: 6 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -10*s**3 - 764235*s**2 + 1146385*s + 764250 = 0.\nAnswer: -76425, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, 37, 313, 749, 1339, 2077, 2957, 3973?\nAnswer: 5119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-112 + 90 - -64).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18383817 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -85. Let g(v) = -7*v**3 - 5*v**2 + 7*v - 22. Let s be g(-6). Let r(f) = -1258*f**2 + 4*f + s*f**2 - 13 - f**3 - 3*f. What is r(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*d - b + 82, 0 = -d - 3*b + 24. Suppose -3*j + d = -0*j. Let o(k) = 7*k**2 - k + 7. Is o(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**3\/3 + 3. Let v(i) be the first derivative of -4*i**3 + 3. Give m(v(z)).\nAnswer: -144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10664 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 14 - 10. Solve -4*g = -m*q - 12, -g - 2*g + 5 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 6. Let w(n) = 3*n**2 + 1 - 2*n**2 + 0. Let y(o) = -o**3 - 8*o**2 + o - 8. Let p(v) = d*w(v) + y(v). Calculate p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24913*l**2 - 12570*l**2 - 12514*l**2.\nAnswer: -171*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 322126.9835 - 322056. Let h = -71 + k. What is h rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.915208 rounded to 2 decimal places?\nAnswer: 7.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.13042?\nAnswer: 0.13042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-27 + (36 - -286))*((-113)\/(-5) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 730 - 730.00782. What is l rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -294403?\nAnswer: -294400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4457 * -0.2.\nAnswer: 891.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j**2 - 7*j. Let n(d) = -10*d**2 - 7*d. Give -5*n(v) + 4*x(v).\nAnswer: 6*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 3480 and 3477 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - w**2 + 541 + 473 - 1014.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1815.12 nanometers?\nAnswer: 0.00000000181512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/15 and 52\/279.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*s + 34*s - 18*s)*(79*s - 39*s**3 - 79*s + (-4*s**3 + 3*s**3 + 0*s**3)*(-2 + 2 - 2)) to u + a*s**4 + y*s**3 + x*s**2 + g*s and give a.\nAnswer: -1924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + ((-209)\/105 - 1). Let c(t) be the second derivative of 0*t**2 - t - 1\/42*t**4 + 1\/21*t**3 + d*t**6 + 0 - 1\/70*t**5. Factor c(b).\nAnswer: 2*b*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/17)\/(4209\/71553). Factor -h**4 - 2\/3*h**2 + 1\/6*h**q + 0 + 6*h - 9\/2*h**3.\nAnswer: h*(h - 9)*(h - 1)*(h + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 48414*z + 48416*z + 22, -5*c = -4*z + 46 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 2}. Give prob of sequence rrn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 234, 12, 16, -2, 3, 98.\nAnswer: -2, 3, 12, 16, 98, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4145466473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3 + 3 - 3\/2*k**2 - 1\/4*k**4 + k. Suppose i(z) = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61242740 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: Suppose 5*x - 22 = -4*w + 26, 0 = -2*w + 3*x + 2. Solve 1 = -2*q - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxoox.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15656 is divided by 66?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 13. Let k be v(7). Calculate the common denominator of (k\/5)\/(6\/(-735)) and -35\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t - 66*t - 3*t + 6 - 14 + 6.\nAnswer: -31*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6653000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(13\/((-78)\/4))*((-20)\/(-4))\/(-1455).\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 0.22. Let i = 0.2 + p. Suppose -4*s = -9*s - 25. Which is the third smallest value? (a) -3 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a05 (base 11) to base 14\nAnswer: -62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 v when three letters picked without replacement from {v: 1, k: 2, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -3)\/(2\/(-4)). Let u be (((-1260)\/8)\/15)\/(4\/40). What are the prime factors of u\/14*m\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-182910)\/(-16) - (-16)\/(121 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1260349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1512\/1256065 or 0?\nAnswer: -1512\/1256065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 - -2.1. Let k = f + -3. Sort -3\/13, -3, k, -2\/13 in increasing order.\nAnswer: -3, -3\/13, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(1 - 3). Let p(v) = v**3 + 6*v**2 - 4. Let j be p(-6). Let w = -29\/5 + 169\/30. Which is the biggest value? (a) t (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(-3*sqrt(9)))\/sqrt(4).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47\/3 - -16. Let b = 1.79 + -8.79. Put j, b, 2\/5, -0.5 in descending order.\nAnswer: 2\/5, j, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006447 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 - 271. Let h be (-37)\/(-7) - 2\/7. Let j be ((-8)\/10)\/((-2)\/h). Solve 4*g - p - 12 = 0, j*g + 3*p + 6 = -f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915856, 1831715, 2747574, 3663433, 4579292, 5495151?\nAnswer: 6411010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -72, -47, 16, 135, 328, 613, 1008, 1531?\n\"Answer: 3*n**3 + n**2 + n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - j + 13 + 7 = 0, -25 = -5*d + 5*j. Suppose -d*g - 2 = -22. Let p = -22 + 39. Calculate the remainder when p is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -101000110100?\nAnswer: -101000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -163, -236, -309?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 = 74*a + 4*b, -21 = a - 0*b - 7*b - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81031, -162057, -243087, -324133, -405207, -486321, -567487, -648717?\nAnswer: -730023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s + 3. Suppose -4*j = -2*n - 328, 2*n = -2*j + 32 - 348. Let m be 4\/34 - n\/85. Solve m + s = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20914, -20921, -20928, -20935, -20942, -20949?\n\"Answer: -7*m - 20907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + ab?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138396265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23916 and 2076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (9 - (63 + -46))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 24.11, -3, -5, 1\/7?\nAnswer: 24.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -a + 366201, -t + 4*a - 82081 = -8837. What is t rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59762526 divided by -891978.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*t + 4622 - 4608 = 0, q + 33 = -3*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35 + (2 - 5) + -2. Let j = q - 11. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3. Let d(m) be the second derivative of -m**4\/12 - m**3\/6 + m**2 + 1075*m + 4. Determine 5*d(s) - 4*n(s).\nAnswer: -s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2*(-15)\/(-6). Let x be 2\/7 + (-918)\/(-21). Let h be 2\/y - x\/(-10). Let v(s) = -s**2 + 4*s - 1. Determine v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1) - (2 - 10). Suppose -39 = -f - 35. Suppose f*r = -2*r + j. Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1)*((-1 + 0 + 3)*(-l - l + 4*l) - 15*l - 23*l + 0*l)*(3 - 2 - 2)*(l**2 + l**2 - 3*l**2).\nAnswer: -34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 5*o**3\/6 + 3*o**2\/2 + o. Let n be (4\/(-3 + 1) - 6)*1135\/(-1135). Let z(l) = 14*l + 9. What is n*s(g) - 3*z(g)?\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2467, -2365, -2155, -1807, -1291?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = -1492*r + 1525*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131518 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = -4*m, 0 = -y - y + 2*m - 2. Let t be ((-1)\/y)\/(14\/84). What is the nearest to t in 1\/4, -2, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152110464.\nAnswer: 2, 3, 11, 36011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7252.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:21 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/14)\/((-6)\/8). Let o = 3\/74 + -317\/518. Which is the second smallest value? (a) p (b) o (c) 2\/13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2225, -2227, -2229?\n\"Answer: -2*x - 2223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 273844566 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 21*r**2\/2 - 3*r - 7. Let z be o(-3). What is the units digit of (z\/5)\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c**2 + 4. Let s(k) = -29*k**2 - 7. Calculate 7*j(n) + 4*s(n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 4*p + 15, -5*p = 5*s + 84 - 99 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -233. Let g = q - -245. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18701 is divided by 75?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 2)*2\/3. Solve 2*q - 6 = s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 30630.\nAnswer: 275670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15776\/11 + -1434. What is the second smallest value in -1, 2, 3\/4, r, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236593\/199290 - ((2\/(-8))\/(-1) - 19\/(-20)).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 4, j: 7}. Give prob of sequence jc.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:40 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 30*z + 1 - 54*z + (z - 3*z - z)*(7 - 3 - 2).\nAnswer: -30*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.6 - -6.3. What is the nearest to 0.1 in a, 2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -60. Suppose -m = f - 46. Solve f*v + 3 = -9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*z + 119*z - 69*z to the form l*z + u and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*w*y**3 + 2*w*y - 44*y**3 - y**2 + 24 wrt y.\nAnswer: 882*w - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 3\/2 (b) -0.2 (c) -5 (d) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43888 + 146699. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**8\/672 - q**7\/210 + q**6\/240 + 17*q**2\/2 + 14. Let i(o) be the second derivative of s(o). Find m such that i(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -54, -1\/7, 6, 0, 4\/11 in decreasing order.\nAnswer: 6, 4\/11, 0, -0.05, -1\/7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-620)\/(-682))\/((-1)\/(-11)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -3\/5, -14700, 8\/5 in decreasing order.\nAnswer: 8\/5, 0, -0.5, -3\/5, -14700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/3 + -1)\/(8\/4). Let h(f) = f**3 + f**2 - f + 1. Let l(u) = 2*u**3 - 4*u**2 + 4*u - 4. Give k*l(t) - 4*h(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11\/((-297)\/(-17181)) + (-15)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -5) + (11 - (-4 + 22))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r**2. Suppose 12*g - 57 = 9*g. Let q(z) = g + z - 19. Determine a(q(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*p + 1 = 98*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74.51 + -74. Let k = -0.41 + t. Which is the closest to k? (a) -1\/4 (b) -9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 5*q - 674 + 719, 3*g = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 4*i + 24. Let j(c) = 8*c + 14. Let s be j(i). What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969258 minus 114?\nAnswer: 1969144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 138458.\nAnswer: 7\/138458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7458358.774 less than -0.00272?\nAnswer: -7458358.77672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/6)\/((s\/(s\/(s*s*s**(-4\/3))))\/s) assuming s is positive.\nAnswer: 1\/sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a minute?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -3.\nAnswer: -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/x**(-3\/4))\/x)**(-37)\/((x*x**2\/x)\/x*x*x*x**12) assuming x is positive.\nAnswer: x**(-467\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 1. Let m(y) = 6*y**2 - 7*y - 14. Let o(c) = m(c) + 2*n(c). Suppose -3*q - 1 = -5*i + 3, i = -5*q + 40. What is the hundreds digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -117, -16, 1, 1\/22?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 8 = -3*z - 4*r, -3*r + 6 = 0. Solve q + q - 2*p + z = 0, -5*p + 2 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 + 8*v - 10. Let t be n(-9). Let g be (t - -1)\/(-3 - -4). Let d be -3*((-42)\/9 - g). Calculate the greatest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 2314.\nAnswer: -254.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(2575\/(-3620)) - (-10 + (-24)\/(-12)). Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 10. Let d(o) = 7*o - 19. Let w(m) = -2*d(m) + 5*z(m). Let r be w(15). Suppose r*b - 8 = 1. Solve b*i = -i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 176*n - 65. Is i(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142380335 divided by 5.\nAnswer: 28476067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4 - 1. Let k(s) = s**2 - 3*s + 3. Let y be k(z). Let i be -10*(y\/6 + 1). What is i rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*o + 55, 31 = w + 128*o - 124*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8829 + 25536. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2057459*q - 6580 = 2057540*q - 2449 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 235 + 147. Let o(y) = 4*y**2 + y - 1. Let j(h) = -7*h**2 - 2*h + 1. Determine k*o(d) + 6*j(d).\nAnswer: 2*d**2 - d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 343290.65+319389\nAnswer: 662679.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**8\/252 - a**7\/3 - 143*a**6\/20 + 297*a**5\/10 + 729*a**4\/4 - 48*a**2 - 2*a + 1. Find h such that c(h) = 0.\nAnswer: -27, -3\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*r - 58 = 21, -93 = -3*k - r. Calculate the remainder when k is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4622 - -46321\/10. Find the common denominator of (-4)\/64*-182*-1 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143676707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42112463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, n: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 7. Let h be r(-7). Suppose -5*o + 6*o + a + 81 = h, 3*a = -o - 87. Let g = 36 - o. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57420165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 19. Let o(x) be the first derivative of 2 - 2\/55*x**5 + 0*x - 2\/11*x**m - 3\/22*x**4 - 1\/11*x**2. Find t such that o(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -4*w**7\/105 - 4*w**5\/15 - 39*w**2. What is the third derivative of h(c) wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*q, i + 3*q = -0*i - 5. Suppose n + i*w - 32 + 9 = 0, -3*n - 5*w + 34 = 0. Let g(x) = -x + 6. Let a be g(6). Solve 3*p + a*p = n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -55*d**3 + d**2 + 2*d + 1. Let z be v(-1). Let t be 1 + (-2 - (32 + 2)). Let u = 40 + t. What is the greatest common divisor of z and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(((-18)\/(-3))\/3). Let r = o + 1. Let q(f) = f**2 - 8 - 3 + 12 + f - 2*f. Give q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (9 + -2)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/200392 and -123\/250490?\nAnswer: 1001960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/3 + 518*a**3\/3 + 8380*a**2\/3 + 36904*a\/3 + 9680 = 0.\nAnswer: -242, -10, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 0*f**2 + 2*f**2 + (-f - 3*f + 3*f)*(5*f - 3*f + 0*f) - 15*f**2 - 13 + 13 - 4*f**2 + 11*f**2 - 23*f**2 as s*f + x + d*f**2 and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 - (-3603)\/6 - 2. Suppose -3*w = -822 - 246. Suppose 5*y + 3*d + 2*d = c, w = 3*y + d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let p be ((-6)\/(-9))\/(10\/6). Suppose -4*l + 2 = 3*f - 4, 0 = -2*l + f - 2. Which is the smallest value? (a) z (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 5) in base 11?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-350)\/(-3) + 1)*(-614 + 635) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 650?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 7) to base 11.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12\/2743 + -249877\/60346. Calculate the common denominator of 135\/(-8)*7\/(35\/(-6)) and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1021119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*t, 5*t = -3*f - 2*f - 5. Suppose -f*i = 30 - 3. Let h = 37 + i. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1767 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/24 - j**4\/4 - 2*j**3\/3 + 2*j**2. Let v(s) be the first derivative of b(s). Does 4 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 61*p**3 - 8 + 64*p**3.\nAnswer: 3*p**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2625 or 2376?\nAnswer: 2625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362331 divided by -18?\nAnswer: -4362331\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113403*b**3*k**2 - 25992422*b**3*k - b**2*k - 2*k**2 wrt k.\nAnswer: -226806*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 284. Let b(g) = 19522*g**2 - g - 1. What is y(b(t))?\nAnswer: -58566*t**2 + 3*t - 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*r**3 - 1599*r**3 + 6*r + 528*r**3 + 487*r**3 - 5*r.\nAnswer: -89*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*p - 464. Suppose -p = 3*h - 370. Calculate the greatest common divisor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 181661.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1\/3, 1\/282?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.072278383 + -1244.3\nAnswer: -1244.372278383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:43 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 + 7*y. Let z(k) = -3*k**2 - 4*k. Let t(o) = 4*b(o) + 7*z(o). Let r(s) be the first derivative of 38*s**3\/3 + 25104. Determine t(r(h)).\nAnswer: 10108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*((-2)\/(-19) - 0 - (-18108)\/171). What is b rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + sqrt(44))*-2)**2.\nAnswer: -24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, x: 5}. What is prob of picking 2 x?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17382 + -0.1?\nAnswer: -17382.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 114599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufuuuuuxuuuufuuuu. Give prob of sequence uuu.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 10}. Give prob of sequence hffh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.2, -5\/4, -44545\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8181 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 5*v - 30, -2*z = 3*v + z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*b - 5*b. List the prime factors of 25 + 6\/(-9)*b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) + 6\/(-27). Suppose r = -g - 2*g + 9. Let k = g + 3. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(17\/4)\/b)*b**(-4\/7) assuming b is positive.\nAnswer: b**(-79\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -188\/3?\nAnswer: -188\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 25*i. Suppose i = 2*d - 545 + 321. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110000011101 (base 2) to base 3.\nAnswer: -1101222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17373?\nAnswer: 3, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 4, z: 5, s: 2}. Give prob of sequence si.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, z: 1, p: 1, k: 1}. What is prob of sequence qp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-7570.\nAnswer: -204390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12ab9a + 2?\nAnswer: 12ab9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 4. Let r(v) = 9*v + 11. Let j(k) = -17*l(k) + 6*r(k). Let s be j(3). Let i = -61 + 59. Which is the smallest value? (a) 5 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*u = 65, -2*r - 6 + 1 = -3*u. Let f(n) = 3*n + 35. List the prime factors of f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o. Suppose 4*z + 4*x + 3 = 11, -2*z - 17 = -5*x. Let h(w) = 5*w**2 + 3*w + 4. What is z*h(f) - 3*q(f)?\nAnswer: -2*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 30 + 10 + 46*a as u*a + g and give u.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 478 + 33. Let r = x + -327. Which is greater: 186 or r?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 147. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 44 + 10. Let g = 121 - j. Suppose g = -4*w + 407. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 79. Let m be ((297\/12)\/j - 4)*-4. Solve -4*g - m = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2350 or -2349?\nAnswer: -2350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2*o**2 + 3*o + 2. Let h(y) = 6*y - 1. Let d(w) = 15*w - 3. Let r(u) = 3*d(u) - 7*h(u). Determine -4*n(f) - 5*r(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*f, -10828*f + 10829*f - 1 = -b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 4*q - 4. Let w be o(5). Let b be 3\/(w + (-2)\/8). Calculate the remainder when (-69)\/(-6) - (-6)\/b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/11 (b) 0.4 (c) 2 (d) 4\/3 (e) 14 (f) -0.06489\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(2990\/3611) + (-75)\/250?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:02 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*-1 + 740\/52. Let i = 464\/39 - n. Suppose 0 - 1\/3*j**5 + 4\/3*j**3 + 2\/3*j**4 - i*j**2 + 0*j = 0. Calculate j.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 - 1690*p**4 - 79507275*p**3 + 131225089540*p**2 + 526172365120*p = 0 for p.\nAnswer: -4496, -4, 0, 2419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, p: 6, z: 2}. Give prob of picking 4 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 5, t: 3, x: 1}. What is prob of sequence jx?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 + -75. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 399 - 399.1. Suppose -5*x + 111 = -x + z, -3*x = -z - 85. Which is the nearest to h? (a) x (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.361 + -1.361. Which is the third smallest value? (a) -2 (b) -3.6 (c) p (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*u - 50 + 20, 4*j - 3*u - 26 = 0. Suppose -180 = -j*d + 3*d. Calculate the least common multiple of d and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/15)\/(-4*(-1)\/12). Suppose 0 = -3*j - h - 5. Let s(u) = -4*u**2 - 2*u. Let v(x) = x. Calculate j*v(d) - s(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2310618 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 6391970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/117)\/((-3)\/((-27)\/(-4)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 306 - 108. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2857 = 2*v - 483. Let t = 9410\/67 + 917764\/603. Let i = v - t. Calculate the common denominator of i and 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -19*q - 44. Calculate the remainder when i(-7) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1501 * 0.1\nAnswer: 150.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11705415*c**3 - 11705413*c**3 - c**2 + c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysr. Give prob of sequence rs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7274 and -1610172368.\nAnswer: -1610172367.2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.56 - 26.46. Let b = z + 23. Let p = b + -0.3. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) - sqrt(343)*1))**2 + -3 + 6*(sqrt(343) - (-1 + sqrt(343))**2) + (sqrt(42)\/(-2*sqrt(2)))\/(sqrt(48) + sqrt(96)\/sqrt(2)).\nAnswer: -1724 + 2015*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8378 - 4465 = -9*h. What is the remainder when h is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -529 + 1531. Let k be (42\/4)\/3*(-255972)\/(-581). Suppose -k = -4*w + c. Round w to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*t + 193*t - 403*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = a - 2*a + 5*y, 4*a - 3*y - 22 = 0. Let d(o) = 5*o - 3. Let v(w) = -84*w + 32*w - 47 + 55 + 38*w. Give a*v(m) + 11*d(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 11, l: 2, e: 3, c: 1}. Give prob of picking 1 t, 1 e, and 1 c.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1724.0493 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 1188*s**2 + 3692628*s - 2179584288.\nAnswer: -3*(s - 786)**2*(s + 1176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -58. Suppose q*l + 5*j + 10 = -l, l + 2*j + 1 = 0. Suppose -n + l*n = 20. Solve -d - 2*d - 3 = -2*i, -3*i = 5*d + n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1909421, -7637644, -17184681, -30550532, -47735197, -68738676?\n\"Answer: -1909407*l**2 - 2*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (438*s + 856*s + 283*s)*(-2 - 1 + 1)*(-2 - 5 + 4) to the form u + h*s and give h.\nAnswer: 9462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.02747?\nAnswer: -0.02747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 48. Let v(n) = 2*n**2 - 20*n - 148. Let r be v(15). Solve c = r*o + o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.32 - 56.63. Let d = v - -62. Let t = d - -0.45. What is the third biggest value in -1, t, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i)\/(i**(3\/11)*i*i)*(i*i**(-7\/4)*i)\/i**14 assuming i is positive.\nAnswer: i**(-397\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 327 = -9*h. Let c be 33\/(-22) - h\/(-2). Let f = c - 51. Solve -1 + f = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742769?\nAnswer: 151, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 3. Let j be x(5). Suppose 5*q - 32 = -j. Solve -s + 2*z - q*z + 25 = 0, 5*s - 3*z = 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6306 - -6306.12. Let c = 0.9 - -1.1. Let d = -1 + c. Put 2\/3, g, -2\/7, d in decreasing order.\nAnswer: d, 2\/3, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 0 + 2 + sqrt(3) - (sqrt(27)\/sqrt(3))\/sqrt(3).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, d: 6, y: 2, t: 2, l: 3}. What is prob of sequence ot?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - h - 3, -4*u = h - 0*h - 3. Let j be (21*(-4)\/(-6))\/2. Let t = j - u. Solve 3*z + 6 = -0*o - t*o, 10 = -5*o - 5*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7914604*p**2 - 1978658*p**2 - 1978651*p**2 - 1978650*p**2 - 1978657*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 127526*q - 46291943. Determine w(363).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10455*r - 31412. Determine s(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 4*x. Suppose x*f + 15 = 3*f. What is the third smallest value in f, 0.1, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/5, 1\/23, -0.4?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*f - 5, -1 = -p + 2*f - 4. Suppose 0 = -p*z + 4*b + 14 + 31, -2*b + 5 = 3*z. Factor 17 + g + z*g**2 + 29*g + 28.\nAnswer: 5*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/10 (b) 0.5 (c) -2\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 83755130711264 + 83755130711264.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 - 8 = 0. Let a be ((-2)\/i)\/(1\/8). Let d(u) be the first derivative of u**2 + u + 3. What is d(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gghhghg. Give prob of picking 1 g and 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1744 divided by 6325?\nAnswer: -1744\/6325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert f4 (base 16) to base 11.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.8 (b) 13 (c) 0.05 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -744?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*j**2 + 103*j**2 - 399*j**2 + 94*j**2 + 95*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*m + 34 = 4, -5*d - 5*m = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305191.\nAnswer: 181, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 3, 1, -35, 36, 5 in descending order.\nAnswer: 46, 36, 5, 3, 1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.8 - 35.\nAnswer: -39.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 8*j - 4. Let s be f(6). Suppose -10*u = -s*u. Solve u = a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-30)*(-63)\/14 - 4\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -2446944474\nAnswer: 2446944451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/7))**(1\/23))**(4\/13) assuming q is positive.\nAnswer: q**(20\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -12 - -4) + (2 - -2). Solve 0*o + 2*o - 2 = s, -5*c = o - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110110011 (base 2) in base 13?\nAnswer: 57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (371\/(-5936))\/(3 - 7635\/2544)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-2 - -3) + -1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 4 - 4 + (2 - 2 + 1)*(-a + a**2 + a) + 1461*a**2 - 5 - 1520*a**2 - 2.\nAnswer: -59*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 8 - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/120 + w**5\/30 + w**3\/3 - w**2 - 25. What is b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 127470083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -17*i - 103. Let x be j(-7). Solve -f = -2*f - 4, f = 4*o + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c0 + ca14?\nAnswer: cb04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 27*y**2 + 56*y + 60. Let b be z(29). Put -7, -4, -1, b in increasing order.\nAnswer: -7, -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243067?\nAnswer: 11, 19, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-25))\/(34\/(-10))*-2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-21) + (-227)\/(-3). Let o be ((-24)\/20)\/((-3)\/c). Suppose -2*b = 2*i - o, 4*i + 0*i - b = 60. Is i >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0 - 10. Suppose -k*v = 2*v - 48. Solve -4 + 20 = 3*c - 4*n, -3*n = -c + v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/4 + 27*l\/4 + 45 = 0?\nAnswer: -15, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -44. Suppose 8*k + 5*f + 90 = 3*k, -g = 5*k + 2*f. Let r = -16 - k. Solve -y = r - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*r**3*y + 277*r**3 + 21*r**2 - 2189*r*y**3 - 6*r - 2*y**2 - 3 wrt y?\nAnswer: -49*r**3 - 6567*r*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwjw when four letters picked without replacement from lelldwieeldelidjewe?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 229098 (base 12) in base 14?\nAnswer: 10628c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, -31, -133, -325, -637, -1099, -1741?\n\"Answer: -5*j**3 - 7*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*t + 17*t + 16*t - t + t - 5*t - t - 2*t + 4*t + (-2*t + 2*t + 2*t)*(16 - 40 + 61).\nAnswer: 67*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/80 + (-2934)\/(-8). Let r = d - -694. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*24\/(-5148)*-11.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 800407254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2564176 and -47\/7628.\nAnswer: 4889883632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3501? (a) -48 (b) 0 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*2*2 + sqrt(108))\/sqrt(4) + ((sqrt(12)\/sqrt(2))\/sqrt(2) - -1*sqrt(363))*1)*5.\nAnswer: 135*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3 + 1 + 5 - 1 + h. Let i be n(-6). Let f(j) = -j**2 + 2*j. Let y be f(i). Which is bigger: 4\/7 or y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0, -10\/9, 2, -307?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let z be (-2)\/(2\/(-2))*-2. Let i be 3\/15 - 26\/5. Sort s, z, i.\nAnswer: i, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, 2285, 6371, 12081, 19409, 28349, 38895?\nAnswer: 51041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**3 - 3*v - 1\/3*v**4 + 3\/2*v**2 + 0. Find the first derivative of s(d) wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*i + 0*i - 6)*(2 + 1 + 3).\nAnswer: 24*i - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 424454.2166 and -0.066.\nAnswer: 424454.1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 3*b**2 + 4*b - 10. List the prime factors of v(-6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/27)\/m)\/m*(m**5*m)\/m)\/(m**(2\/13)*m\/m**(-2\/3)*m) assuming m is positive.\nAnswer: m**(37\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*r = d - 48, r = -d + 21. Suppose 3*v = 2*w - 375, 6 + 369 = -3*v - w. Let k = d - v. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46312\/9 + 5146. Sort -18, 1\/5, 23, f.\nAnswer: -18, 1\/5, f, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41508 and 450.\nAnswer: 1037700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -20. Suppose 8*k + 10 = n*k. Let a(c) = 3*c + 2. Let t be a(-2). Put t, 1\/5, k in ascending order.\nAnswer: k, t, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 42930.16119?\nAnswer: -42914.16119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 7*r**2 + 14 + 6 + 6*r**2.\nAnswer: 6*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0 + 63*i**2 - 2 - 64*i**2 - 1 + 10*i. What is the tens digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 51*o**8\/7 - 53*o**4\/6 + 2*o - 26. Find the third derivative of a(r) wrt r.\nAnswer: 48960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(sqrt(6912) + -2) - (2*sqrt(6912) + 4))**2 + 5.\nAnswer: 110601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1177, 5079, 11573, 20653, 32313, 46547?\nAnswer: 63349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1485460\/9 or -165050?\nAnswer: -165050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (-6 - (-17 + 10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 12323323232?\nAnswer: 12323323223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**3 + 4702*d**2 + 226*d - 5150?\nAnswer: 42*d + 9404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -26. Let r be 2\/g - (-5)\/4. Let m = -5 + 8. Sort -1, m, r.\nAnswer: -1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 189.48 in 5, 2107, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-36 + 26)) + -24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k\/k**(-32)))*k)**18\/(k**(-8\/3)\/k**(-1\/15)) assuming k is positive.\nAnswer: k**(3163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(33189\/59385) - (-3 - (-123)\/39)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126901446 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122\/71 or -112?\nAnswer: 122\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -646, -5, -1 in ascending order.\nAnswer: -646, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45125927*y**2 - 40250841*y + 2 wrt y.\nAnswer: 90251854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Let k be (-4)\/((3 - n) + -1). Let i = -3 + k. Solve -u - i = 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65409 divided by 3\nAnswer: 21803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 6. Let u be z(2). Let d = 13 - u. Let q = 8.2 - 8. Which is the closest to -1? (a) -20 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182920*v**2 - 91238*v**2 - 91129*v**2.\nAnswer: 553*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000901577 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g - 4*v + 16238, 5*g + 5*v - 40590 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*-5*(-4*(-5 + (sqrt(75) + 0 + sqrt(75))**2) - ((1 + sqrt(75))**2*-6 + -2)).\nAnswer: -108300 + 9000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*y**2 + 4385*y - 4385*y + (-4*y + 4*y - y)*(-3*y + 0*y + y) as r*y + d*y**2 + l and give d.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108298736 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -63\/2. Let x be ((-1)\/20)\/(3\/(-1 - (-258)\/(-12))). Let s = -5.97 + -0.03. Which is the biggest value? (a) x (b) s (c) u (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874616.\nAnswer: 2, 17, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkk when three letters picked without replacement from bbkkbffk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 1b06?\nAnswer: 1b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -690 + 746. Calculate the lowest common multiple of p and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 453 + -159. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)\/(u*u*u**1)*(u**2*u)\/u**(-1))**6 assuming u is positive.\nAnswer: u**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53295.\nAnswer: 3, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k. Let w(y) = 6*y. Let d(q) = -h(q) - 5*w(q). Let s(x) be the second derivative of 2*x**3\/3 - 44*x. Calculate d(s(i)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + 6 - 4984\/89?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**2 + 2*f**2 + 4*f**2 + 2*f**6 wrt f.\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -3*m + 160, -4*m - 8 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468984041 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*y**6 + 13*y**6 - 4*y**2 + 14*y**6 wrt y.\nAnswer: -2520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {c: 4, k: 1, z: 1, u: 1, t: 2, j: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2316 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 - 6*y + 5. Let a(c) be the third derivative of 3*c**5\/20 + 13*c**4\/24 - 11*c**3\/6 - 6*c**2. Calculate 6*a(m) + 13*x(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1698083877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118560\/(-475))\/(-24)*10\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 21*g - 12 + 0 - 22*g. Let u be t(-14). What is a in -727 + 8*a + 727 + 48*a**u + 90*a**3 + 50*a**4 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45772 and 6.69204253.\nAnswer: -45765.30795747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**4\/4 + 11*b**3\/6 - 8*b**2. Let s(p) = -2*p - 4. Calculate 3*d(z) + 8*s(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/2 of a minute?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*d - 1, 4*d = 2*d - 2*f - 6. Let v be (-3)\/(-2)*(d + 6 + -2). Find the first derivative of 3 - 7*a**3 - 23*a**3 - 23*a**3 + 71*a**v wrt a.\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {w: 7, n: 2, e: 1, r: 8, p: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 501 + -293. Let g be 27 + (-3 + 3 - -3). Suppose a = -4 + g. What is the highest common divisor of a and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 85239?\nAnswer: 85234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 + -3. Let a = x - 0.2. Let m = -544.3 - -544. What is the closest to 1\/2 in a, -1, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*y - 119*y + 2 + 109*y**3 + 14 with respect to y.\nAnswer: 327*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112 + 149*f**3 - 112 + (f**2 + 8*f**2 - f**2)*(2*f - 3 + 3 + (f - 2 + 2)*(4 + 0 - 2)) to a*f**2 + z*f + b*f**3 + v and give b.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220\/63 - 26\/7. Which is the third smallest value? (a) -0.2 (b) 0.1 (c) r (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v = 49*v - 85*v + 208 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = -6*i + 25. List the prime factors of (-2 - 5)*(i\/14)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtbvm. What is prob of sequence btv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -2*(-12)\/3. Suppose 0 = 2*h - 4*h + i. Solve -5*l**5 + l**4 + 3*l**3 + 7*l**4 - 7*l**2 + 2*l + l**h = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6737*o - 2 - 6742*o + 2.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (26\/65)\/((2*-2)\/(50\/(-160)))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 + 1565*j**2 + 89720*j + 1128400 = 0. Calculate j.\nAnswer: -31, -20, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/6)*f*f\/(f*f*f\/f**0*f*f))**(2\/79) assuming f is positive.\nAnswer: f**(-25\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 60 = 2*l. Is l >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*f - 216843, 225*c + 54192 = 226*c + 5*f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n + 4. Suppose -10 = m - 3*r, 2*r + r - 20 = -m. Let i(u) = -m*u + 6 + 0*u - 8 + 0. What is 4*a(w) + 7*i(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 0. Let v(c) = 2*c - 11. Let s be v(u). Suppose s*l = -5*z + l + 13, -l = -z - 1. Solve -p - z + 0 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 52 = -0*m + 4*r, 4*m = 5*r + 78. What is the remainder when ((-6)\/(-27))\/(-1) - 785\/(-9) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Let k(z) = 3*z**2 + 4*z + 5. Let h(u) = k(u) + 4*m(u). Let x be h(1). Suppose -3 = i - 5*l, 0 = -0*i + 5*i + x*l - 72. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 3. Suppose 3*u + 0*u + 22 = -5*l, 5*l + 10 = 0. Suppose 0 = 19*y - 18*y + 3, 0 = -c + y + 6. Let z(h) = 2 + c - 1 - 3. Give u*z(j) + p(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**2 + m**2 + 5 + 4 - 12 to l*m**2 + w + p*m and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(2\/7)))**(-28)*((v\/v**0)\/v)\/v**(-22))**(-4) assuming v is positive.\nAnswer: v**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -172440, -172439, -172438, -172437?\n\"Answer: q - 172441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.673499 - 45.9908. Let o = z - 6.182832. Let k = o + 11.5. What is k rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113421926?\nAnswer: 2, 17, 107, 31177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 90, 123, 178, 261, 378, 535, 738?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/20*16\/(-6))\/(198\/25740)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84.73 - 84.73. Put k, -2\/23, -65 in ascending order.\nAnswer: -65, -2\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 28. Let h be l(-27). Suppose -3 = u - 2*v, 4 - h = -4*u + 5*v. Solve -j - u = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 - 10418*s + 156495 = 0. Calculate s.\nAnswer: -10433, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 0.36?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) -2 (c) -330\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 2b?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/3721?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -38.6. Let z = 0.6 + -0.5. What is the nearest to z in r, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -l - 0*l + 8, b - l = -4. Let s = -8 - -11. Let c = b + s. What is the greatest common divisor of c and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 - 2*s**4 - 2*s**4 + (1 - 5 + 1)*(-s - s**4 + s) + 5*s**4 + 9 - 9.\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6305, -23739, -52763, -93377?\nAnswer: -145581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-60)*18)\/((-22)\/(-20))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -202110200?\nAnswer: -202111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(255\/(-10))*21\/(-21)*3.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*19\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13565, 48722, 105469, 183806, 283733, 405250?\nAnswer: 548357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -53717.5499 rounded to zero dps?\nAnswer: -53718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8904 and 25968?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.922 - -14. Let s = c + 38.922. Let w = s - 32. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19881 is divided by 425?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + -1*sqrt(13))*6) + sqrt(117) + 1)**2 + -6*sqrt(637)*2.\nAnswer: -76*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*n + 3)*(-7*n - 25 - 3*n + 9*n) in the form p + a*n**2 + x*n and give x.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 61*t**2 + 128*t - 182. Calculate x(63).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.4 (c) -2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*r + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28758.\nAnswer: 2, 3, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304121 - 31?\nAnswer: 304040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027797 is divided by 177?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 17. Let q = -22 + 22.4. Which is the second biggest value? (a) 0.3 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7045677 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -3 + 2*x + 8\/3*x**3 + 5*x**2. Let z(c) = 0. What is c?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 1513*l = 1516*l - 5, 3*l - 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6 - -1) + (-7)\/(-2). Let v be (m - (-1)\/1*-4)\/(-1). Suppose 2*f + v = -1. What is the closest to -1 in 4, f, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*h - 48, -24 = h - 3*h + 4*x. Suppose g - 5*g - h = 0. Let c = -371\/4 - -92. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541 is divided by 290?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -98*y**3 + 4797*y**2 + 176*y + 3385. Give n(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 greater than -4054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 2:57 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 + 222272*m**3 - 8*m**2 - 6*m**2 - 5*m**2 - 222275*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-35)*(-15)\/18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:13 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37140 divided by -4.\nAnswer: 9285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*t = -131*t + 32. Put -4, 3, t, 1, -10 in decreasing order.\nAnswer: 3, t, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 - 6*t**2 + 33*t - 49. What is l(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 14008 + 28014 - 14006.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 16*o. Calculate z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + (-66)\/(-16))*0. Let o be -11 + 8 + (-594)\/(-200). Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/54*(-18)\/24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r + 13*r = -13904. Let o = -294 - r. Calculate the greatest common factor of o and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 854*u + 856 = 0. What is u?\nAnswer: -1, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/156 + -1\/468. Let m = -9.8 + 1.8. Let p = 13.7 - 14. What is the nearest to 2\/7 in x, m, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - i = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14277 (base 12) in base 15?\nAnswer: 8487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549\/1220*(-2)\/81*-9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-490))\/3*(-8)\/166. Let z = l - -2729\/2720823. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 - 354*w**2\/5 + 699*w\/5 - 348\/5.\nAnswer: 3*(w - 116)*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i = 0. Let y = -5\/7 + -1\/28. Is i smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704) + 1).\nAnswer: -48*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221231 + 2?\nAnswer: -221223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-949)\/(-4745))\/((3\/(-1005))\/(-1)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 99 = 37. What is the remainder when 169 is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558900 less than or equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28250, 56498, 84746?\n\"Answer: 28248*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(245) + (sqrt(245) - (sqrt(245) + 1)) + sqrt(245))*-1)**2.\nAnswer: -28*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11*n**2 - 5*n - 12. Let a(m) = -3*m**2 + 3*m + 1. Let t(y) = -4*a(y) + x(y). Calculate t(15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*m + 3 = 1, 0 = -2*k + 4*m - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 - 19 = 0. Let b(d) = 2*d**2 + 11*d + 10. Let a be b(g). What is the units digit of (14 - a)*(-97)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u - 13 = 0. Let s = 21 + u. Let c be (-5*6\/35)\/(9\/(-42)). Calculate the highest common factor of c and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/4 - 347*k**2\/2 + 181491*k\/4 - 134550 = 0. What is k?\nAnswer: -897, 3, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 1, z: 1, g: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/17 - 215536668*i\/17 - 5807006906567778\/17 = 0?\nAnswer: -53884167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(200))**2 + 3 + sqrt(18).\nAnswer: 23*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 2. Suppose 3*g = -3*j + 90, 0 = -g + 3*j + 12 + 10. What is the remainder when g is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-15) - 2\/(-6). Let y = 0.387 - 0.367. What is the second biggest value in -4, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18*(j\/j**(-3\/11)*j)\/j*j**(18\/5)\/j*j*j*j**(-22)*j assuming j is positive.\nAnswer: j**(158\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 1040?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -116*p - 1508. Calculate o(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -72*g**2 + 639*g - 50. Give p(10).\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -147. Let j(o) = -2*o**3 + 3*o**2 - 4*o + 13. Let y be j(-4). Let m = q + y. What are the prime factors of m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - t - 15, -2*v + 5*t = -4*v - 9. Suppose 0 = -u - 0*u + v*a + 33, 0 = u + 2*a - 8. 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: What is 2869946 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157801571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 30. What is the highest common factor of l and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 4*y**3 - 25*y**3 + 12*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 + 3*n - n**3 - 2*n - 2 - 2*n**2. Let g be v(3). Is 19 a factor of 231\/12 - (-2)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -v + 245. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5 + 0*k - 9 - k + 0*k. What is the units digit of x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 49. Let g(o) = o + 33. Let m(r) = -8*g(r) - 5*p(r). Let k be m(-13). Suppose 2*d + 2*d = k. Solve -d*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 0.01 (c) -0.3 (d) 0.3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 - -138. Let w = 8 - 14. Let y = u + w. Solve -y = -4*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-1 - (3 - 6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.7, -59, 3, 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 10:44 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 75.08532 months?\nAnswer: 0.00625711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -20*o + 150. What is the remainder when 250 is divided by w(1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1 - -3 - 416\/200). Let x be 160 + (1 - 4\/(-2)). Let i = 137 - x. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69361\/124431 - -4\/2109. Is 2 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 5*u**2 + 5*u + 6. Let w be c(-4). Suppose 4*r = -0*r - 5*l + 107, -59 = -w*r + 3*l. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 5, 0.04, 1, -4 in decreasing order.\nAnswer: 5, 1, 0.04, -4, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(2\/47)\/(u**(-2\/7))**38 assuming u is positive.\nAnswer: u**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-14))\/(((-3960)\/(-168))\/(-15))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4753\/166430 + 9\/374. Is 0.14 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 3 (b) 0.3 (c) 2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + b**2. Let z be (48\/(-30))\/(2\/(-5)). Suppose 4*v = g + g + z, 4*g + 3 = 3*v. Is k(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.1. Let p be 121985\/(-300) + 2\/(-8). Let q = p - -407. What is the smallest value in -0.1, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -133*c + 818. Let g be t(6). What is the greatest common factor of g and 5080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 43*w + 1. Is f(1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -195, 2\/713, 0.2, 3, -4.\nAnswer: -195, -4, 2\/713, 0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j - 110. Let u be (3\/2)\/((-11)\/j). Solve u*s - 16 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssslsls. Give prob of picking 2 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3168 by 1584.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, -3, 5\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 1 + 1)*(6*t - 12*t - 6*t)*(-3 - t - 3 - 2) to y + z*t**3 + d*t + s*t**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*u + 2*m + 343, -3*m = 4*u + 459. Let d = u + 111. Suppose -4*g + 1574 = 2*l, d = -2*l - 5*g + 175 + 1400. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -10*u**3 - 3*u**2 + 1. Let k be x(-2). Let c = k + -61. What is the highest common divisor of c and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y + 358*y**2 + 32*y - 9*y - 11*y in the form r*y**2 + n*y + k and give r.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20208710399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i - 46. Let t(b) = 4*b + 23. Give 3*p(s) + 5*t(s).\nAnswer: -s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8025.94 + 49645.\nAnswer: 57670.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 1, -3, 7821, 2, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*y + 325, -j + 205 = -2*y - 2*j. Find the common denominator of -59\/8 and (17\/y)\/((-146)\/365).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4\/(-54)) + (-840)\/(-9072)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 5*h - 4. Let j(n) = -2*n**2 + 5*n - 4. Let g(x) = -3*d(x) + 2*j(x). Let f be g(-5). List the prime factors of 3 - (8 - f - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588929867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59048*c**3 + 6327722*c wrt c.\nAnswer: 354288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 1. Let x be 2\/(-4) - 377\/(-58) - -1313. Suppose -9587 - x = -82*q. What is the greatest common divisor of y and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8140?\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/20 - x**4\/3 + 5*x**3\/6 - 7*x**2\/2 + 4*x + 3. Let o(j) be the first derivative of q(j). Determine o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 34.5. What is the nearest to 0.07 in 0.4, 0.04, w?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**8\/2856 - 4*c**7\/1785 + 13*c**6\/1020 + 2*c**5\/255 - c**4\/17 + 343*c**2. Suppose j(q) = 0. Calculate q.\nAnswer: -6, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 19*n**2 + 42*n - 92. Let t be a(-16). Let s(r) be the second derivative of -r**4\/6 + r**3 - 3*r**2\/2 - 2*r. Calculate s(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-1 - (-10)\/3 - 2)\/(3062\/47461).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/9 + 496*o**2\/9 - 30518*o\/9 + 3336 = 0 for o.\nAnswer: 1, 108, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -31568?\nAnswer: -1\/31568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212898830 is divided by 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - m - 6*m + (2 - 4 + 0)*(-2 + 2 + 2*m))*(-4*m - 17 + 17).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6720)\/16*(-3)\/9. Suppose 4*l = 3*j - 104, -11*j + 7*j + 4*l = -k. What is the least common multiple of j and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by -6 - (-145)\/25 - 86\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1265692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -82*r + 569. Give q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/93 - (-19337)\/157232?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-66)\/5) - (-20)\/720*12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -46, -56, -80, -124, -194, -296?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 7. Let z be r(-9). Let f = z - 13. Calculate the smallest common multiple of f and 170\/765 + 1*284\/18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 - 2*j**2 + 2*j**2)*(-3 - 4*j + 3) + 2 - 2*j**5 - 6 + 2*j + 5 - 2*j**2.\nAnswer: 2*j**5 - 2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 6*c + 5. Suppose -3*i = 4 - 1. Let s(x) = 5*x**3 - 2*x**2 - 2*x - 1. Let z be s(i). What is the units digit of n(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -87. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Suppose -3*f = -5*f + 2. Suppose 12 - f = s. Let u(y) = -y + y + s*y. Give u(r(v)).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042 - 3259?\nAnswer: -3259.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1009*c - 175*c - 2803 = -9430 + 62275 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let i(g) = -8*g. Let v(z) = -14*b(z) + 2*i(z). Let j(u) = 2369*u. Let f(w) = -23*w. Let s(k) = -414*f(k) - 4*j(k). Determine v(s(q)).\nAnswer: -92*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305863?\nAnswer: 29, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 499 + -347. Let y = l - 52. What is the greatest common factor of 40 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-74)\/(-222))\/((-1)\/(-96)). Suppose 0 = -3*b - 5*b + r. Calculate the lowest common multiple of b and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223717 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 13*d**6\/6 + 49*d**5\/4 + 50*d**4\/3 - 10*d**3 - d - 193. Factor g(q).\nAnswer: 5*q*(q + 2)**2*(13*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2 + 2*d - 2*d - d - d. Let r be m(-7). Suppose 93 = 5*u - r. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.47 + -15.47. Which is the biggest value? (a) y (b) 0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + b - 529. Let v(c) = c. Determine r(v(x)).\nAnswer: 2*x**2 + x - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4\/4 + 93*u**3\/4 + 99*u**2\/2 = 0. What is u?\nAnswer: -2, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338855218?\nAnswer: 2, 13, 89, 146437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4268 - -4267. Which is the nearest to 0? (a) 59\/7 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3179*p + 59376 = -109817 - 40621 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76688092 by -19172023.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 366 - 361. Let x(b) = b + b**2 - g*b + 6*b - 2*b**2. What is x(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 3741*p**2 + 22365*p - 33507.\nAnswer: 3*(p - 1241)*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -66. Let v be ((-12)\/(-9))\/((-3)\/z). What is the highest common factor of 72 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 + -19838?\nAnswer: -19838.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 2*p + 9. Let v be x(-4). Suppose 4*o + 4 = -4*q, 5*o - 2*q - 6 = v. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15225 - 14109. What is the smallest common multiple of j and 8?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/139384 and 29\/12.\nAnswer: 418152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -23*v**4\/24 + 5*v**3 + 28*v**2. What is the units digit of s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 0)*(-222 + 222 - 6*j) - 2 + 0 - 1 - 3*j.\nAnswer: 57*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06996 less than 5.2?\nAnswer: 5.13004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 63, 136, 223, 318, 415, 508?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3134*d*y**2 + 4*y**2 + 651*y with respect to d.\nAnswer: 3134*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*i = -377 + 1018, -5*r + 814 = 2*i. Let b = -29 + r. Calculate the remainder when b is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.72 * -3670.3\nAnswer: 138443.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 171cd2?\nAnswer: 171cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 5. Suppose 0 = -25*o + 21*o - 4*i + 12, -2 = -4*o + i. Put o, l, -1 in increasing order.\nAnswer: -1, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 218*o**4 + 17*o**3 + 12. Let x(w) = -73*w**4 - 6*w**3 - 4. Let d(l) = -3*v(l) - 8*x(l). What is the first derivative of d(h) wrt h?\nAnswer: -280*h**3 - 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -2. Let q be (-11)\/(-3) + (-22)\/33. Suppose 2*b = -q*b. Sort 1, b, s in increasing order.\nAnswer: s, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158751 is divided by 352?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -1 - ((8 - (15 + 20)) + 5). Solve 3*t + 6 = 0, -3*t + z = -k + 35 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 278*c**2 + 249*c + 8342. Determine z(279).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -8*o**4\/13 - 8718*o**3\/13 + 143318*o**2\/13 - 510972*o\/13 = 0.\nAnswer: -1106, 0, 21\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1756083.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w = 14*w - 53*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112\/444625 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/8*408\/476.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 125. List the prime factors of (2\/p - 1)\/((-2)\/215).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -648, -983, -1318, -1653, -1988?\nAnswer: -2323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 259555.5 minutes?\nAnswer: 15573330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -335.066\nAnswer: 338.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -102*l + 96*l. Solve -m = l, -m - 10 - 18 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -9, 0 in increasing order.\nAnswer: -9, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 8050*i**2 - 912049*i - 3777060.\nAnswer: -(i - 7935)*(i - 119)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2, 1.23, 2\/5, 0.3, 0.01?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k + 3*j + 5, 0 = k + 4*j + 18. Let l be -2 - ((-63)\/6 + (-1)\/k). Suppose l*t - 4*t = -340. Round t to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493109381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31832, -2, -0.5, -2\/3, -0.4, -0.6, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let s(v) be the third derivative of v**7\/1260 + 13*v**5\/60 - 14*v**2. Let g(y) be the third derivative of s(y). Give g(l(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from lbplbbbey.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*r**6 - 134818*i*r**3 + 40453*i*r**2 - i*r wrt r?\nAnswer: 240*i*r**3 - 808908*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwn when three letters picked without replacement from egwngnggwwgwggggnw.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-20))\/(6\/(-15)). Suppose 15 = z*p - 6. Solve -p = 4*o - 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 407 - 405. Find the third derivative of 4*c**4 - 4*c**4 + 316*c**n + 250*c**2 - 511*c**2 - 286*c**5 wrt c.\nAnswer: -17160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122, 357, 716, 1205, 1830, 2597, 3512?\n\"Answer: b**3 + 56*b**2 + 60*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*q - 204*q = -353676. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 - 6*k - 2. Let f be (-6 + 2)*(10\/4 - 4). What is c(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l**3 + 4*l**2 + 5*l + 31. Is s(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8073584544 + 8073585323.00000874. Let l = -779 + o. Round l to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 15311415?\nAnswer: 15311404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -31. Suppose -2*j + 161 = -25. Let k = -53 + j. Calculate the remainder when k is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 20*a + 12. Let f(h) = h + 1. What is -12*f(q) + r(q)?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94)\/1610 + (-39)\/1365?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/8 and -3 + ((-12)\/22 - -1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 123 = 17. Let q(f) = f**3 + 11*f**2 + 18*f + 12. Calculate the remainder when k is divided by q(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*r**2 - 91*r**2 - 175*r**3.\nAnswer: -175*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r. Let i(z) = 2*z**3 + 58*z**2 - 151*z - 4464. Let v be i(-29). Let o(b) = b + 2 - 2. Calculate v*o(t) + 6*k(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/(x**(-1\/25)*x)*x*x**(-1\/3)\/x*x*x*(x*x\/((x*x*x**(-1)*x)\/x))\/x assuming x is positive.\nAnswer: x**(-172\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.277721 days in nanoseconds?\nAnswer: 23995094400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(30) + -2*sqrt(480))\/(sqrt(100)\/(sqrt(10)*-2)) + -4)*-3.\nAnswer: -42*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a millennium in years?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(304)*-5.\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 521120*k\/9 + 33945756800\/9.\nAnswer: 2*(k - 130280)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23995757787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25115 divided by 5023.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**2 - 4*r + 8. Is p(-4) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 7, u: 3, s: 1, x: 2}. What is prob of picking 1 u and 3 f?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(-1) + 497\/213. Suppose p + 12 = -x*h, 3*h + 0*h + 15 = 0. Suppose -3*z - 16 = -5*y + y, 4*y - 2*z = 16. Sort 1, y, p in descending order.\nAnswer: y, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13822259 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-5\/6)*x)*x)**(-1\/49) assuming x is positive.\nAnswer: x**(-11\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 4*h**3 - h**5 + 3*h**3)*(-2 + 4 + 1).\nAnswer: -3*h**5 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m - 14*m + 27*m - 6343242 - 6343479 + 12686721.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1820, 2, -5, -8.\nAnswer: -8, -5, 2, 1820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 + 9296 = -801*a - 1258 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.69999888 + -11.7. Round p to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -r, -5*x + 3*r - 37 + 41 = 0. Let s = 22 + -13. Suppose 5*p + s = 34. Solve p*w = -2*o + 17, -x*o = 2*w - 3*o - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**2 - 7*w**2 + 29*w**3 - 28*w**3.\nAnswer: w**3 + 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 41 = 4*p. Which is greater: p or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1610\/2300)\/(2 - (-11)\/5). What is the nearest to 0.1 in x, 2\/17, -368\/15, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -100. Let r be (1\/z)\/(12\/(-24)). What is the highest common divisor of r and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2 + 2*r)*(300 + 58*r**2 - 300).\nAnswer: 116*r**3 + 58*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 13*m**6\/180 + 41*m**3\/3 + m**2 + 2*m - 3. Let s(h) be the second derivative of k(h). Let a(z) = -z**2. Determine s(a(u)).\nAnswer: 26*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6) - sqrt(24)))**2 + ((sqrt(5) + -4)*3)**2.\nAnswer: -72*sqrt(5) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 8) + 305812\/2. Let h = -1617095 - z. Round h to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*v**4\/7 - 16875*v**3\/7 - 84136*v**2\/7 - 12188*v\/7 - 64 = 0.\nAnswer: -16, -7, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, -1.36, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofsf when four letters picked without replacement from sysfuowyyuusuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427317866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:08 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1093 (base 16) to base 13.\nAnswer: -1c15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + (4*(1 + sqrt(2))*6 - (-2 + sqrt(6)\/sqrt(3))*2))*-1)**2.\nAnswer: 1232*sqrt(2) + 1751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 16913.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 148849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117469 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71*(-270)\/(-11502))\/(((-2)\/9)\/(6\/(-99)))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjj when three letters picked without replacement from sxjdbxjd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578973, -4631263, -15630343, -37049607, -72362449, -125042263, -198562443, -296396383?\nAnswer: -422017477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/60 - o**5\/60 - o**4\/24 - 7*o**3\/3 + o**2 - 14*o. List the prime factors of m(6).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 3*w**2 + 42*w - 126. Let o be q(3). What is the closest to o in -1, 0.5, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153781\/9 - -16980. Let j = o + 107. Sort 1, -4, j.\nAnswer: -4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -336902?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 11 = 2*c - 3*i, 31 = c + i. Suppose 4*y + c = -2*p, -p = y + 1 + 6. Let t = y + 21. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five halves of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 299.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 2*m + m + (-99 + 18 - 20)*(2*m + 4*m - 5*m).\nAnswer: -103*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w + 2. Let y(s) = 2*s + 11. Let v(l) = 7*l + 29. Let f(z) = 3*v(z) - 8*y(z). Calculate -4*a(x) - 9*f(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93101 rounded to the nearest one thousand?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - 109*l + 13. Calculate x(16).\nAnswer: 1597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2 + 2 + 4*d. Let b(u) be the first derivative of -u**5\/120 + u**3\/3 - 1. Let x(q) be the third derivative of b(q). Give x(y(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117279 and 98604?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 3*h - 3. Let l be p(-3). Let n be (-5 - -7)*l\/(-2). Suppose -2*k = k - n. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (18 - 3) - 12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/(-240)*459\/54.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1310 (b) -12\/5 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4437 and 443207?\nAnswer: 3988863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32500710 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6369*h - 2747 wrt h?\nAnswer: -6369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 66*b**2 - b - 26. Determine g(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hkuhpdd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4.7, 2\/3, -3?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*g = -923*g - 540*g + 136200 for g.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4914181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 + 3)) + -2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)\/(8\/84). Let l = d + 24. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 86\/18060 - 2\/20. Let w be -1 + 0 - (-8)\/5. What is the nearest to 0 in w, -4, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 9*a**2\/2 - 7*a - 13. Let q(c) = 5*c - 4. Give 7*q(w) - 4*u(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 3, -12, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 1. Let s = 7 - 5. Suppose -s*u + 1 - 3 = 0. Suppose -3*c + 6*z + 1 = 2*z, -2 = 4*c - 2*z. Let y(p) = -p - 1. Determine c*y(i) + u*l(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 46.542315\nAnswer: 1.8616926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*y + 22, 9*f - 2*y - 158 = 4*f. Calculate the remainder when 81 is divided by 837\/f + 1\/10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 16*x - 6. Calculate the lowest common multiple of 33 and a(-13).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*n + 221555 - 220880 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/105*((-3)\/(24\/(-64)) + 2552\/(-316)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 86, 1, 2.26?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 414*b**2*k**2 + 254*b**2*k - 19*b*k**2 + 27*b*k - k wrt k?\nAnswer: 828*b**2 - 38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2019955220 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/9))\/(d*d*d**(-6)*d))**(-2\/19) assuming d is positive.\nAnswer: d**(-74\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 54 (c) -13 (d) -47 (e) -0.3 (f) 1\/8 (g) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5523*i**2 - 13 + 5546*i**2 - 11065*i**2 + 13.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/10137 + -138532\/70959. Calculate the common denominator of v and -155\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 + 2002\/42)*(-69 + -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4635*i - 5326*i = 46988 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 256078.7 nanometers in kilometers?\nAnswer: 0.0000002560787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (9 + 2 + (11 - 60) + 19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(85995\/(-42))*15\/(-18)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17753*l*n**2 - 3*l*n - 1814744*l - 33*n**3 wrt n.\nAnswer: 35506*l*n - 3*l - 99*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 46. Let k be j(-12). Suppose 2*u - 3334 = -4*q, -1692 = -k*q - 6*u + 10*u. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 10, o: 7, y: 1}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 - 819*a**4 - 54657*a**3 + 168915*a**2 - 170568*a + 57132.\nAnswer: -3*(a - 1)**3*(a + 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 133, 110, 85, 58, 29?\n\"Answer: -d**2 - 20*d + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 194\/3? (a) -29 (b) -4\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67434471?\nAnswer: 3, 13, 192121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:01 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence reew when four letters picked without replacement from weaerreeereer.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33960 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 441189514 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313401 + 0.06?\nAnswer: -1313400.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from mmmmmmmmmmnnnmm.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -1. Let f = 12 + t. What is the remainder when 25 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 13. Let w(r) = 6*r + 17. Let z(h) = 6*w(h) + 7*x(h). Let c be z(-9). Let 1\/4*a**5 + 0 + 3*a**2 - 1\/2*a**3 - 3\/4*a**4 - c*a = 0. What is a?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -5, 24, -8, 84, -3, -6 in decreasing order.\nAnswer: 84, 46, 24, -3, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:20 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/105 + 2 - 10\/12?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 43 + 3 = 0. Suppose 4*x + 3*f + h = 6*x, -f - 30 = -4*x. Calculate the lowest common multiple of x and 6*(-2)\/(-12)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 1, p: 3, e: 1, d: 4}. Give prob of sequence dr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 2:09 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, 2, 6, 11, -1 in ascending order.\nAnswer: -23, -1, 1, 2, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.6 - 7. Put v, 0.4, 7 in decreasing order.\nAnswer: 7, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/6 - t**3\/2 - 4*t**2. Let y be w(3). Suppose -b + 4*b = y. Solve -8 - 7 = b*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (22833\/(-516))\/((-3)\/1604)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.057, -3, -583 in ascending order.\nAnswer: -583, -3, -0.7, -0.057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(15 - (-99)\/(-15)). Suppose -6 - 3 = 3*s. Put c, -4, 2, s in increasing order.\nAnswer: -4, s, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 1. Let p(o) = -56*o**2 + 14*o + 14. Let r(x) = 14*g(x) + p(x). Let b(w) = 2*w. Determine r(b(v)).\nAnswer: -224*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6532836 months to millennia.\nAnswer: 0.0000544403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.31967l?\nAnswer: 319.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10321110232 (base 4) to base 7.\nAnswer: 13623421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(726))\/(sqrt(2) + sqrt(14)\/(sqrt(56)\/sqrt(8))))**2.\nAnswer: 3267\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39876 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -41 + 46 - (-51)\/(-9). Let s = -10 - -5. Which is the third biggest value? (a) -16 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67761971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32490 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:05 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001110010100 - 11?\nAnswer: -100011001110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*p - 91*p + 38*p - 54*p + 12*p to o + j*p and give j.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from wbzwvglwzgllg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 7*s**2 - 10*s + 1. What is the remainder when (2 + -1)*(0 - -32) is divided by w(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h + 3. Let m(f) = 3 + 52*f - 96*f + 53*f. Let k(c) = -3*m(c) + 4*q(c). What is k(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -6\/37, 1\/2, -33, -7\/25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let z(k) = 2*k**2 - 1371446. Determine z(c(m)).\nAnswer: 2*m**2 - 1371446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 2*j - 14. Let y(o) = 4*o**2 - 5*o + 43. Give 7*w(x) + 2*y(x).\nAnswer: x**2 + 4*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 18961 = 5*v - 3*t, -2*v - 7572 = -5*t. Round v to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 2*n**2)*(834*n**2 - 455*n**2 + 1497*n**2).\nAnswer: 3752*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - ((2 - 0) + 113 + -118)) + -34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/5 (b) -1 (c) -4\/5 (d) 1 (e) -2 (f) -134\/1309\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 26*t - 11. Let o = 3 - 5. Let z = -26 + 37. Let d(h) = 5*h - 2. What is o*v(n) + z*d(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -484026631*y**3 - 645*y**2 + 3216?\nAnswer: -2904159786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3882314 kilograms in milligrams?\nAnswer: 388231.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 6. Let c be w(6). Suppose -3*z + 9 = -c. Solve v + m - 2 = -m, -m = z*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 10, 5*n + 12 - 50 = 4*h. Is 31 a factor of (-3 - 19\/(-7)) + (-653)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -6\/13 (b) 2 (c) -0.6 (d) 1 (e) -2.4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5140 = v + 4*s - 5080, -3*v - 26*s + 27*s + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206 and 71.\nAnswer: 14626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001101 + -110?\nAnswer: -1001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**5)**(-29\/3))**(2\/5))**46 assuming w is positive.\nAnswer: w**(-2668\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (590\/3)\/((-4)\/1). Suppose -2*k + 204 = 302. Let o = k - w. Which is the biggest value? (a) o (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3975905992 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 1167?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 374*c**2 + 8*c + 7. Determine q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -830\/13 - -3600\/91. Let n = -24 - o. Suppose 14*f = 11*f + 4*a - 8, a - 2 = -5*f. Sort -5, n, f in descending order.\nAnswer: n, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4684 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 > -303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (-14 - 0 - (589 + -585)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 4, k: 2, w: 3}. Give prob of sequence zawk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 17*x**2 - 12*x - 78. What is c(18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22964 in 0.4, -3\/8, -1\/6, -0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 + 16*n**3 + 534.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 674388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7314 + 7313. Put r, -6, 4, 0.059 in decreasing order.\nAnswer: 4, 0.059, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 5 + (-7 - 52).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-3 + 2 - 0). Let z = -10 - t. Let o = -61 - -917\/15. Sort 5, z, o in decreasing order.\nAnswer: 5, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 - 5 = 0. Let f be (-6)\/2 + p + 16. Let j(l) = l**2 + 8*l + 3. Let s be j(-8). Solve 2*d - s*b = 0, 4*d + b = 3*b + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002146176562 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24047334?\nAnswer: 2, 3, 445321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Let m(v) = -1551*v**3 + 794. Let i(r) = m(r) + n(r). Differentiate i(w) with respect to w.\nAnswer: -4653*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.96896 to three dps.\nAnswer: -0.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/267 and -121\/12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 2*l**3\/3 + 3*l**2 + 4*l. Is x(9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5292655 is divided by 183.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-8) - -1 - 1233638\/126. Let k = m + 9785. What is the common denominator of k and 109\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-12)*(-3)\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2*3\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -140525 < -139796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014641 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -11, -5 in increasing order.\nAnswer: -11, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*h - 272643 = -33*h + 41457. What is the remainder when h is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g + 9. Let f(i) = 6*i + 7. Let v(z) = 2*b(z) - 3*f(z). Let n be (0 - 3)\/(3\/4). Give v(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431541*a + 863074*a - 97*a**3 - 431533*a.\nAnswer: -97*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -64.3. Which is the biggest value? (a) -0.2 (b) m (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4 - -1)*(-36 - -36). Let p = -42 - -39. Which is the nearest to -32? (a) t (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7206?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u - 15*u)*(0 + 0 + 1)*(-2*u**3 + 0*u**3 + 4*u**3) to m*u**2 + n*u + w*u**4 + c + d*u**3 and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 10*z**2 + 3*z + 223. Let g be d(-9). Sort -3, g, 4 in descending order.\nAnswer: g, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 130349. Let v(z) = 348*z**2. Give l(v(d)).\nAnswer: 696*d**2 - 130349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -73729053.\nAnswer: -73729048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739 = 4*v + v - 4*r, r + 1 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/7)*x)*x)**(-15)\/(x*x**(-12)*x*x*(x\/x**(-7\/2))\/x))**(-1\/7) assuming x is positive.\nAnswer: x**(103\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-15)*30\/4. Let a = -0.2 + 0.2. Let y = a + 0.1. What is the third smallest value in c, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i**2 - 5. Let h(f) = -7*f**2 + 42*f - 11*f - 16*f - 15*f + 3. Suppose 4*b - 4*k - 25 + 5 = 0, 0 = -b + 5*k + 5. What is b*h(u) + 3*w(u)?\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 11.6.\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -a - 32. Let d = a - 1. What are the prime factors of (-2)\/4 + d\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1666892 = -n + p - 1666910, 3*n + 20 = p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 109 + 31193*h + 2831*h.\nAnswer: 34024*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 194 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1174 (b) -1\/3 (c) 2473\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -2*d - 4 + 0*d**2 + 4\/3*d**3. Differentiate l(c) wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000397 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -16*f**2 - 11*f + 11. Let s(a) be the third derivative of -a**5\/20 - a**4\/12 + a**3\/3 - 5*a**2. Give 6*d(t) - 33*s(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-18 + 3)) + 2. Let t = 169.94 - 169. Let k = 1.04 - t. Which is the closest to k? (a) 0.5 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 398\/7 (b) -2\/3775 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88) - (sqrt(88) - (sqrt(88) - ((sqrt(88)*1 - sqrt(88)) + sqrt(88))))) + -6*sqrt(88)*2)\/((-1*sqrt(16))\/sqrt(2) - -2*sqrt(128)).\nAnswer: -12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117063955 - 0.4.\nAnswer: 117063954.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3562*p + 105983. Determine k(-30).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x - 1\/120*x**6 + 0 - 3\/20*x**5 - 24*x**2 + 1\/6*x**4 - 5\/3*x**3. What is the tens digit of g(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656902 (base 10) in base 2?\nAnswer: 10100000011000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 92?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(-1 + 3 - 3)*(-2*p**2 + 2*p**2 + 2*p**3).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.8 and 450946.\nAnswer: 450949.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-234)*(-2)\/(-3). Let i = v + 19\/91. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8305 is divided by 1658.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3961 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 18*a**2 + 20*a + 14. Let y be l(-19). Sort y, 3, 3\/2 in descending order.\nAnswer: 3, 3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 - 7*p - 13. Let x be q(9). Solve -x*g - 4 = 3*i - 0, -i - 6 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 z when three letters picked without replacement from gzsieibssibi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = 2*p, 12*p - 8*p + 3*l - 11 = 0. Solve 4*u - 24 = -p*w, 0 = 3*u - w - 3*w - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 21. Let f(q) be the second derivative of q**4\/12 - q**3\/3 + 2*q. Determine f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.30305639.\nAnswer: -0.090916917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 10. Let v be u(-7). Suppose c + 0*c - 4*f - v = 0, -3*f - 44 = -4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -y, 2*y + 20 = -3*s - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**3 + 117*l**2 - 2436*l + 19011. Determine o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:53 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/14)*l**10\/l*l*(l*l**(-9)*l)\/l**(1\/12) assuming l is positive.\nAnswer: l**(239\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 81. Let s = -0.8 - -5.8. What is the nearest to -1\/2 in s, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d)**39\/(d**(-4\/3)\/d**(1\/5)) assuming d is positive.\nAnswer: d**(-2317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 6, j: 3, p: 3, u: 4, f: 1}. Give prob of picking 1 j, 1 w, and 1 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 7:54 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.147 - 0.147. Let a = 0.47 - 0.51. What is the nearest to 1\/2 in i, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 10382\/261 + 7\/(63\/2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2. Let z = 17 + 1. Let m(x) = -z*x**2 + 7*x**2 + 8*x**2. Give m(f(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 divided by 14?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 28*y**2 + 50*y. What are the prime factors of a(23)?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60315 is divided by 1254?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 122, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-15) - 12\/(-20). Let l be (-8)\/x*(-39)\/4. Let f = l + 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.74651 rounded to two decimal places?\nAnswer: 150.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1217\/94 less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2888 by 722.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/4 + 13\/26. Let l = f - -19. Let a(u) = u**3 - 4*u**2 + 4*u. What are the prime factors of a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46 and -714511.\nAnswer: 32867506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (0 + 1 - 3)*(2 + 0 - 3))*(3*k**2 + 3*k**4 - 3*k**2).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 22*m + 52. What is the tens digit of w(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 70*q - 505. What is w(78)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(2*m - 2*m + 4*m + (-m - 2*m + 4*m)*(0 - 4 + 3) - 3*m + 4*m - 3*m + m - 5*m + 2*m - 3*m + 0*m + 2*m) to the form s + b*m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -45\/12997 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2240)\/(-315) - ((-12)\/27)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894581.\nAnswer: 894581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 + (-71 + -72 - -64)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from zrzztzzrzdtr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d6 + -3?\nAnswer: -7d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 57*r - 628. What is the least common multiple of 440 and i(12)?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*g - 2524 = 4450 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -203*h**4\/24 + 182*h**2 - 14*h. Let t(r) = 24*r. What is c(t(j))?\nAnswer: -4872*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - m**4 - m**4)*(-7 + 2 + 2)*(4*m - m - 2*m) + (4*m**2 - 5*m**2 + 3*m**2)*(3 - 3 - 2*m**3).\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -11, -18, -41, -86?\n\"Answer: -v**3 + v**2 + 7*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - (2 + 14 - 31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387)\/43*((-5780)\/(-90))\/(-34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 + 2*d + 9. Calculate s(-5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from vzzvzzzzzzvzzvlvzz.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 3*t**2 - 15*t - 18. Let x be o(-5). Suppose 3*m + 3*a = x*m + 45, 2*m = -4*a - 6. Is -9 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271086.07930001 - -271117.0793. Let q = -100 - -69. Let l = v + q. What is l rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485493 is divided by 161586?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*z + 4 = 0, 3*u = 5*z - z - 2. Let i = -55 - -60. Solve 25 = -u*c + i*n, -n - 3 = -6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 412 (b) 2\/21 (c) -1 (d) -1\/6 (e) -5 (f) -0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 936 = 938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86 - -12d?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -131, 96691, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-605)\/(-242))\/((-5)\/12)*2\/56.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*a*n**5*t + 2*a*n**2*t - 20*a*n + 2*a*t + t - 1 wrt n?\nAnswer: 2680*a*n**3*t + 4*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 5:00 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6*p**2 - 6*p**2 + 2*p**3 + p**2 to w*p + o + z*p**2 + q*p**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 + 3*h**3\/2 + 3*h**2\/2 + 34*h. What is g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 560003178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3079664, 3079665, 3079666, 3079667, 3079668, 3079669?\n\"Answer: q + 3079663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 15*k - 1. Let q be ((-2)\/(-4))\/(6\/12). Let d = 9 + q. Is h(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 504*j**2 - 3*j - 1. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/5)*s)\/s*s**(-3\/5)*(s*s**(-1\/4)\/s)\/(s**(-2)\/s)*s**(1\/9)\/(s\/((s\/(s**6*s))\/s))*(s**(1\/4))**22 assuming s is positive.\nAnswer: s**(13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-11*1\/(-4))\/((-1236)\/(-4120)*20\/(-24))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-88)\/330*(-6)\/(-8))\/(4\/(-60)). Solve 2 - 1\/4*j**g + 3\/2*j - 3\/4*j**2 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*x + 3*n - 128, 2*n - 8 = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 67470*i - 227610045.\nAnswer: -5*(i + 6747)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035291768 to 4 dps.\nAnswer: 0.0353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2554 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494 + 844*q - 494 + 6179*q**2 - 844*q.\nAnswer: 6179*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3514 - 6?\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (85\/(-5))\/((-1110)\/666*((-9)\/10)\/3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -152?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 22080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 13*t = -16*t, -t - 10 = 4*m. Let z be (0 - (1 + m\/5))*-1. Factor 4\/5*o + 18\/5*o**3 + z*o**5 - 14\/5*o**2 - 2*o**4 + 0.\nAnswer: 2*o*(o - 2)*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2)\/(-1) - 0. Suppose 52 = -4*w - 3*a + 50, 3*w = -3*a + 3. Let z be (-16)\/39 - (-1)\/3. What is the nearest to -2 in d, w, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 4*x**2 + 8*x - 12. Let g be t(4). Let h be (-19)\/(-4) - (-5)\/g. Let z(b) = 4*b + 1. List the prime factors of z(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6 + 4) - (4 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -97. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20 = 3*m, -8 = -3*a - m + 29. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 3\/2 (c) -17954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a - f = 7, -4*f - 24 = -3*a. Suppose -3*j + 25 = 2*j - a*v, -5*j = -v - 10. Let d be (-50)\/15*(148 - j). What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-50))\/((-4)\/24)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*a = -269*a - 240 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 8 = 0. Let y be (-2 - -2)\/(-5 + o). Suppose 0 = -k - y + 5. Solve 5*g = -k*a + 1 + 14, -4*g + 20 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 21*i**2 + 11*i. Suppose -33*l + 5*l = -588. What is the hundreds digit of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3 - 2. Suppose 5*j = 5*p - 147 + 2, 7*j = -4*p - 148. Which is bigger: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyv when three letters picked without replacement from yyyvvvyyyv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11507405*f**3 - f**2 - 59*f + 7492?\nAnswer: 69044430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56767.17 rounded to the nearest 10?\nAnswer: 56770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**3 - 2*l**2 + l. Let x be 3*(-3)\/((-9)\/2). Let p = x - 6. Let u be (p - -1)\/(-6 - -3). What is o(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**4\/4 - y**3 - y + 5. Determine l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 43*c**2 + 43*c**2 + (-c**2 + 3*c**2 - c**2)*(-c - 2*c + c) - 4*c**3 + 2 - 2 + (-3 + 3*c + 3)*(2*c**2 + 0*c**2 - c**2) - 2*c**3 + c - c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858 divided by -429.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 34 + 11 = 0. Suppose 7 = o - 1. Let r be (2\/(o\/(-3)))\/((-18)\/(-72)). Sort h, r, -4 in decreasing order.\nAnswer: h, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1922 or -68?\nAnswer: 1922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = d - 2*a + 4*a, 3*a = 4*d - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 5:48 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1854 and 385632?\nAnswer: 385632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585 by -38.\nAnswer: 585\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.445999 meters in micrometers?\nAnswer: 6445999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 4. Suppose 64 - 22 = -6*a. Calculate the smallest common multiple of 7 and u(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/6 - -3)\/((-8)\/(-18)). What is the remainder when (22\/n)\/(((-2)\/(-21))\/1) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j - 0*j. Let k = 10 + -5. Solve -k*b + 8 = -4*m, 2*m - 4*b = -j*b + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3277 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/6 - ((-2)\/(-3))\/1. Let m(j) = -16*j - 10. Let b be m(h). Let a = 252 - b. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*o - 2*b, -b - 57 = -51 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22640 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -307, -454, -593, -718, -823, -902?\n\"Answer: m**3 - 2*m**2 - 148*m - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.7596902, 23?\nAnswer: 0.7596902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1846461ug?\nAnswer: 0.0000000000001846461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - 12\/(-3)) + -4. Suppose -l - 12 = 3*l. Is (110\/a)\/((-1)\/l) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.1, -0.58, 2\/11 in increasing order.\nAnswer: -0.58, -1\/4, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113012.\nAnswer: 2, 19, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:19 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 501 - 1026 - 4950 in the form n*p**2 + o*p**3 + m + l*p and give m.\nAnswer: -6477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*z + 12, 5*r - r + z = -12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 1, -1.6, -3, -5, 0.1071, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 308\/27?\nAnswer: 308\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-6*p - 1 + 1)*(439*p + 1183*p + 13296*p) as y*p**2 + o*p + z and give y.\nAnswer: -89508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c381 + -48b?\nAnswer: -c83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132822353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 2*k + 5. Let s be q(-4). Is (72\/(0 + s))\/(1\/(-1)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**2. Let v(f) = -14*f**2 - 2. Let n(b) = 42*b**2 + 7. Let s(r) = 2*n(r) + 7*v(r). What is s(p(c))?\nAnswer: -504*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -36. Solve -4*p = -f*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -558*v + 971 + 145 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -159678 divided by 53226?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 701564 (base 9) in base 13?\nAnswer: 1168b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/3 - (10 + -14) - 2. Let c be 20\/10 - (-3)\/(-1). What is the closest to f in 2\/7, -3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -2972.7901?\nAnswer: 86210.9129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2432868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 468*o - 35. Let l(n) = -n. What is m(l(w))?\nAnswer: -468*w - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -515*j. Let d(k) = -3*k**2 + 3. What is r(d(w))?\nAnswer: 1545*w**2 - 1545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/5 - 16974*p\/5 + 50904\/5 = 0 for p.\nAnswer: 3, 8484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a - 9*a + 5*u - 9, 3*u = -2*a - 18 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 23*s**2 + s + 50. Let r be a(-23). What is the remainder when 20 is divided by -5*r\/(-90)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*(p**12*p*p)\/p*p**10\/(p**(-6)\/p*p) assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(38)\/sqrt(2) - sqrt(19) - sqrt(19)) + -3 + sqrt(19) + sqrt(19))**2) + ((0 + sqrt(1216))**2 - sqrt(19)) + sqrt(19).\nAnswer: 7*sqrt(19) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5409, -21547, -48411, -86001, -134317, -193359, -263127?\n\"Answer: -5363*m**2 - 49*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/8 - 285*c**2\/8 + 144*c - 289\/2 = 0. What is c?\nAnswer: -289, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-13)\/4. Suppose 0 = x*j + j - 12. What is the units digit of j\/(21\/6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44385726 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 32 - 18 - 3. Let w = 2 - 2. Suppose -h - a - 2 = w, h - a - 2 = -0. Determine b(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 18 + -18 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**6\/30 + 19*p**5\/20 + 17*p**4\/12 - 19*p**3\/6 - 9*p**2 + 5*p + 48. Factor i(w).\nAnswer: (w - 1)*(w + 1)**2*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5807644 is divided by 145191.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:36 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 + 1 - (1 - -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgzxggngln. Give prob of sequence xxlz.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*k**2 - 4*k + 8.\nAnswer: (k - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 671 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 + 4*v - 3. Give x(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 6*y**4 - 19 + 19 - 17*y**3 - 5*y**4 as i*y**4 + x*y**3 + o + k*y + w*y**2 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1568 + 2548*n + 2130 - 562.\nAnswer: 2548*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1 - 1) + -2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*t + 32436, 5*v - 3*v = -3*t + 12963. Let p = v - 2149. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (660\/(-77))\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 8 = -2*l, -4*w - 5 = w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100786?\nAnswer: 2, 7, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.957*-1.285.\nAnswer: -1.229745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6594*j + 6626*j. Is -5\/17 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460305 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*l + 7*l - 5, -2*r - 10 = -2*l. Let i = 4 + r. Let g(w) = w**3 + 4*w**2 - 7*w - 7. Let z be g(-5). Is z smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (7 + -2 + 0). Let h = 221.2 - 221.8. What is the nearest to -0.3 in h, 2, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-24) - (-14)\/8 and (-64)\/30 + 2\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -248, -1\/6, 4, 91, 16, 3, 1 in descending order.\nAnswer: 91, 16, 4, 3, 1, -1\/6, -248","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 4:09 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101000010100 (base 2) to base 5.\nAnswer: 10201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3130393 and 0.4?\nAnswer: 1.7130393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3161\/81 + -39. Let s = -65 + 65. Is s <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14433967 rounded to five dps?\nAnswer: 0.14434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 - 271?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -430640 - -2?\nAnswer: -430637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3322*m**3 + 72*m**2 - 8*m - 22. Let w(j) = 1662*j**3 + 38*j**2 - 4*j - 12. Let x(f) = 11*w(f) - 6*y(f). Find the third derivative of x(i) wrt i.\nAnswer: -9900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 - 5*42\/35. Suppose -2*a + 252 = 2*s - 6*a, q*a - 228 = -2*s. What is the smallest common multiple of 135 and s?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(495) + 2*sqrt(495)) + (sqrt(495) - (-1*sqrt(495)*-6 - sqrt(495))) + sqrt(495))\/(-6*(sqrt(11) + sqrt(44))*-2))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 7 + (-2 - 1 - -27).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18.68. Let d = z - 0.6. Let k = d + -4.08. What is the smallest value in k, 5, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.01, -4\/21, -1\/3, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 9*l**4 - 192*l**3 + 1144*l**2 - 1280*l + 400 = 0.\nAnswer: 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 2 - (-3 - -3). Let a = z + 19. Calculate the lowest common multiple of a and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -2019847519.\nAnswer: -2019847519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((13 - 0) + 5 + -13 + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25052644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 288*x**2 + 31*x + 123. What are the prime factors of d(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33598 is divided by 548.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 - 6*q - 2. Let a be t(6). Let w = a - -2. Solve -4*i - 2*c + 9 = -3, w = 4*i - c - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14)\/(-63)*-9 - (-2053 - -1)\/4 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-433 + 197 - 241*d + 244)*(1 + 2 + 4).\nAnswer: -1687*d + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 18 = -3*i, -i = -3*j + 4*i - 11. Let k(z) = z + 2. Let g(m) = m + 3. Let d(f) = j*k(f) - 2*g(f). Let a(p) = -2*p**2. Calculate a(d(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 14 + 9. Let x = 32 + d. Let h = 21 - x. Solve t = -3*t + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -43 - (3 + -2 + -27)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 2*u**3 + 2*u**3 - 6*u**3 + 28 to n*u**3 + y*u**2 + q*u + v and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 2\/5, -1, 0.3, 2932?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610 is divided by 402.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22 + 0.2. Let j = p + -2.98. Let w be (2\/(-6))\/(4\/(-6)). Which is the third smallest value? (a) 2\/3 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, -6 in ascending order.\nAnswer: -18, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 12:08 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/31 and 21\/10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92 + 35\/(8 - 3). What is the highest common factor of 36 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 5) in base 7?\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -11) + -24 + 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63878.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 + 553. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*g - 0*k + 31, -2*k = 2. What is the highest common divisor of 30 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 5*f - 7. Let j = 43 + -48. What is s(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**6 - 40*l**5 - 16499*l**2 wrt l.\nAnswer: -480*l**3 - 2400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*b**4*z + 330*b**4 + 2*b**3*z**3 - 27826*b**2*z**3 - 15*z**3 wrt b.\nAnswer: 2592*b*z + 7920*b + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:28 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + -10?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/18688 and -157\/912.\nAnswer: 1065216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 820 = 16*s. What is the remainder when s is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*f - 6. Suppose 6*d + 22 = 3*d + 2*i, f*d + 18 = -3*i. Let v = d - -9. Solve x + x - 4 = 2*t, v*x = 2*t + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 174\/23, 10, 2?\nAnswer: 174\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3941688.3 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 53 = -27. Suppose 4*j + 5*g + 0*g = 20, i = -j + 4*g. Solve j = -b - 3*t - 8, -2*t + 0*t - 4 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5 - 5154*r**4 + 3323024*r**3 - 3276648*r**2 - 26604928*r + 39814656 = 0.\nAnswer: -3, 2, 1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -8, 0.2, 1.\nAnswer: -43, -8, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172588 and 1066?\nAnswer: 7076108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81610923 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2))\/(d\/d**5))**(-39)\/((d\/d**2)\/d*d\/(d*d**10))**(-23) assuming d is positive.\nAnswer: d**(-393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 7*j + 10. Determine f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 15*n + 21*n - 58*n + 11*n + 36 as u + m*n and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b + 1. Let r be s(2). Suppose c - r*c = -1188. Let m = c + -121. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-10\/11)*j**26 assuming j is positive.\nAnswer: j**(287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*r, -2*t - r - 6 = 8. Let d(g) be the third derivative of g**6\/120 + g**5\/15 - g**4\/4 + g**3\/6 + 3*g**2. What is the units digit of d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813647 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h + 25. Let o be ((-8)\/14)\/(12\/(-14))*6. What is the least common multiple of x(o) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, 36, 78, -4, -136, -1 in decreasing order.\nAnswer: 78, 36, -1, -2, -4, -16, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -110, -204, -336, -506, -714?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:09 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2001 (base 10) to base 9\nAnswer: -2663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrpbpbbrirbp. Give prob of sequence rri.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 5*b - 8 = -2*c + 1, 21 = 11*c - b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/((-20)\/75) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*c - 612*c - 23*c.\nAnswer: -1365*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 54?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 266 + 3?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 2*f**2 - f**2)*(5 + 1 - 5)*(-4 + 1 + 2)*(-8*f - 4*f + 29*f).\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1853, -3923, -6225, -8759, -11525?\nAnswer: -14523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -301 - 213?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13289583 divided by 4429861?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/((-26)\/16)*14\/(-8). Suppose -6 = -s*o + 8. Let x(a) = a**3 + a**2 - 2*a. Let f be x(0). Solve -o = u - f*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 n when four letters picked without replacement from {n: 6, l: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - ((-2)\/10)\/(8\/(-200)). Solve 2*s + 3*f = 7*s + 29, 4*s - 2*f + 22 = q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.644232um in centimeters?\nAnswer: 0.0002644232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, -5, 40298, -1 in decreasing order.\nAnswer: 40298, -1, -5, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/30 and (-229)\/(-30) - (-73 + 79)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 103 - 10. What is the highest common divisor of 341 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2071182 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.0356 millennia in decades?\nAnswer: 48803.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1296 and 98129556?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 57. Let r(n) = 1. Calculate -i(f) + 2*r(f).\nAnswer: 2*f + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:46 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 7*o**2 - 8*o + 21. Calculate the remainder when v(-8) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 2*a**2 + 4*a - 8. Let g be 3\/(1\/(20\/(-30)))*(-3)\/2. What is u(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4736584223.\nAnswer: 7, 1487, 455047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 2. Let a be u(2). Let f = -6 - a. Suppose f*i + 8 = -0*i. Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = 2*q. Suppose 0*w + 2 = -w, -3*w + 49 = 5*y. Suppose 0 = -0*p + 3*p - c - y, -c = q*p - 4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.301866 rounded to one decimal place?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**5\/60 + v**4\/24 + 11*v**3\/6 - 12*v**2. Determine w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*j**2)*(-3*j + 3*j + 2*j**2) - j**4 + 5 - 5 + 2*j**4 - 4 - 4*j**2 + 4.\nAnswer: 5*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 1166. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0.3891998.\nAnswer: 1.3891998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160450422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 - 18*q + 21. Let x be j(-10). Let f = 12\/71 + -503\/2556. Which is the smallest value? (a) f (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-16)*-1 - 3 - 1630861\/(-17848)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 2*l - 8. Let q be x(3). Solve -5*b = q - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7294614 to the nearest integer?\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.036 and -0.84?\nAnswer: -0.03024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 + 113.1. Let l = -67\/2 - -35. What is the nearest to b in l, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let j(i) = -4*i**2 + 2*i. Let r(c) = -3*c**2 + 3*c. Let m(u) = -3*j(u) + 2*r(u). Calculate p(m(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2183*w - 2188*w = -11*n - 301, -136 = 5*n - 2*w for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 * 118\nAnswer: 4.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 8) to base 13\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 291\/(-24))*2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11\/5, 3, -9150, -1\/10, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3344 and 8816?\nAnswer: 96976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -117*y**3 - 98*y**2 - 169. Find the second derivative of m(u) wrt u.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6009 + -6235. What is the closest to -2\/7 in -2\/3, 3\/2, v, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3474, 6956, 10440, 13926, 17414?\nAnswer: 20904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 66*l + 252. Let a be b(-4). Suppose -4*f - 10 = -0*f - i, 5*f + 3*i = -21. Let h = 7 + f. Solve 0 = -5*s, 0 = -h*r - s + a*s - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-144)*15*11\/(495\/4). Let j = -3 + 3.5. Let a = -0.4 + j. Sort g, 2, -0.5, a in descending order.\nAnswer: 2, g, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(14\/(-4) + 18569493\/5305554) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = 3*r + 1, -3*r + 1 = l. Let y be (2 - r)*((-628)\/(-80) - 8). Which is the third smallest value? (a) y (b) -1\/10 (c) 0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 757760 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 162140000 rounded to the nearest one million?\nAnswer: 162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3 + 181*t**2 + 137*t**2 - 348*t - 3*t**3 - 242*t**2 + 468 = 0.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0945082 to four dps.\nAnswer: 0.0945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 4\/3 (b) 0.4 (c) 13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -19*o**6\/30 - 5*o**4\/6 + 7*o + 31. Let r(a) be the first derivative of f(a). Find the third derivative of r(s) wrt s.\nAnswer: -456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 182 = -2*n - 239, -4*j = 5*n + 573. Let l = j + 157. What is the smallest common multiple of l and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4519, -4517, -4515, -4513, -4511?\nAnswer: -4509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2267803?\nAnswer: 359, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-80))\/(217\/3255).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 17\/620986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a factor of 5759472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + h - 6 = 0, -5*z - 22*h + 21*h = -8. Let c be (11 + -10)*2\/(-6). Suppose 4*g - 18 = 4*r - 3*r, 0 = g - 3*r + 1. Sort c, z, g in decreasing order.\nAnswer: g, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -112.195132870617.\nAnswer: -112.295132870617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/77 and -53\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1812 + -85165\/47. Let c be 0\/(-2)*(-1 + 0). Is c at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 10) to base 5.\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 376*p + 15045. Let x be b(-40). Let j(c) = -2*c - 2. Suppose 3*n + 12 = -n. Let h be j(n). Solve 19 = -3*l + h*i - 1, x*l + i = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -165 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 234*c - 215*c + 125*c**2 - 217*c + 661*c.\nAnswer: 125*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*s**2 - 317*s**2 + 94*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 49. Let a be w*(-3)\/(-1) + -2. Solve b + 3*x - 8*x + a = 0, b - 3*x = -13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -0.21?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*b - 4 + 19, 5*r - 5*b - 15 = 0. Let a be (r\/(-4))\/(3\/(-12)). Suppose -a*h = -q + 8, 0 = 3*h - 5*h + 2. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.04162.\nAnswer: -0.012486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 15*h**2 - 37*h + 329. Calculate b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/3 + 3*d**2\/2 + d. Suppose -2*j - 4*y - 4 = 0, -18 = 4*j + 4*y - 6. Let u be j + (2\/2 - 1). Calculate r(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:42 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3 + 0 + 3 + 2*p - 14. Let i be m(3). Let f(t) = -t**3 + t**2 - 2*t - 2. What is f(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 744\/930*(-20)\/528?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 2*m + (5 - 6 - 13)*(-203 + 64*m + 203))*(-3 - 3 + 7).\nAnswer: -897*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 10. Let m be j(10). Suppose m = y - 3. Suppose 2*t + 0*t - 4 = 0. Solve t*l = 5*l + y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)\/l)\/(l**(-1\/2)*l)*l*l*l**(-2\/7)*l**(-2\/13)*l*(l**(-2)*l)**24\/(l*l\/(l**(-2)\/l))**(-37\/5) assuming l is positive.\nAnswer: l**(1234\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1 + 0))\/((-19)\/(-19))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*t = -32*t + 20*t - 2652 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/7, -1, -0.4, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9828577 a multiple of 1381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3, -0.2, -0.5, -0.4, 351?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 7. Let u be (-21)\/12*1*-4. Let i(o) = 2*o + 5. Let m(n) = u*i(n) + 5*q(n). Calculate m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -22. Let c = 36 - m. Let f be ((-8)\/6)\/((-14)\/c). Solve 0 = -4*k - 0*j + j + 6, -f*k - 3*j = -10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 160*z**3 - 27032*z**2 - 13519*z\/10 - 169\/10 = 0. What is z?\nAnswer: -1\/40, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*c - 54309 = -45493 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394605391?\nAnswer: 394605391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/4*(-8)\/(-6). Let n be (-3)\/(-15) + 268\/q. Let a = -19 + n. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131729 - 228*i**2 + 131729 + 4*i)*(-1 - 1 + 3)*(-2 + 1 + 0).\nAnswer: 228*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 - -14. Let k = m - 180. Suppose 0 = 4*p - 9*p + 25. What is the closest to 0.06 in p, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 3:32 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n + 4 = 87*n - 2*c, 2 = -4*n + 5*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 5*r - 2*r - 4 - r**2. Calculate the remainder when g(7) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27.12 and -1008843881?\nAnswer: 1008843853.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 28*s - 32 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 325?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/(-1862))\/((-2)\/(1*4))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36115152 and 432.\nAnswer: 325036368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/40)\/((-12)\/8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 553?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15*a = 19*a - 54, x + 5*a - 15 = 0. What is the remainder when 327 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1036.877 centuries to decades.\nAnswer: 10368.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 181*n**2 - 183*n**2 + 5 in the form w + r*n**2 + l*n and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/13)\/o)\/o**(-2\/13))\/(o**(-2))**(-6\/17))**21 assuming o is positive.\nAnswer: o**(-7560\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5\/4, -4, 2604, 6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 11}. What is prob of sequence bbbb?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*c - 5. Sort 5, c, -1.\nAnswer: c, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.053 + -2.947. Let b = 1 - g. What is the nearest to 0 in -3, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 7. Let c be t(10). Let f be -10 - -2*c\/(-6). Let k = f + 16. Calculate the greatest common divisor of k and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y - 65*y = -20. Suppose -2*c + 24 = -y. What is the highest common factor of 260 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -313.6.\nAnswer: -62.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 836*i + 4. Let b(u) = -11*u**2 + 2510*u - 13. Calculate -2*b(x) - 7*g(x).\nAnswer: x**2 + 832*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 102, 250, 458, 726, 1054?\n\"Answer: 30*a**2 - 2*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 100101011011000010?\nAnswer: -100101011011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92, 251, 670, 1481, 2816, 4807, 7586?\n\"Answer: 22*n**3 - 2*n**2 + 11*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6931, 6930, 6929?\n\"Answer: -x + 6932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37.61 * -1.8\nAnswer: -67.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48853 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*f**4 - 43*f.\nAnswer: -2004*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 2 - 2 + (1 - 2 - 1)*(1 - 2*w - 1) - 3*w - 2*w + 10*w + 1 + 3*w - 1 + (6 + 3*w - 6)*(0 + 2 + 0) to j + v*w and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (14\/77)\/((-2)\/(-22)) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - 5*l**2 + l + 5. Let c(j) = 2*j**3 + 4*j**2 - j - 4. Let o(w) = -4*c(w) - 3*m(w). What is the smallest common multiple of o(0) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2*m**3 - 119. Let s(d) = -6*d. Calculate x(s(z)).\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 17*u + 41. What are the prime factors of v(-17)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let s(k) = 4*k**2. Let p(m) = -6*s(m) + 17*v(m). Let r(g) be the first derivative of -g**2 - 8. Calculate p(r(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = -h. Let g = -6 - h. Suppose 0 = 5*j + 4*y - 107, 5*j - 2*y + 4*y = 111. Solve 0 = -3*c + 4*c - 3*q + 11, g = 3*c - 4*q + j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 4*z - 16 + (z + z - 3*z)*(4 - 2 - 1) to b + q*z and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -0*g - 224. Find the second derivative of 14*n**4 - g*n + 7*n**3 - 7*n**3 - 16*n**4 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3424180 and 1615?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - -2.4. Let l = 3007\/1803 - 2\/1803. Sort j, -2, -5\/7, l.\nAnswer: -2, -5\/7, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.066, 2, -858?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2627 + 2639. Solve -22*t + z = -98 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 21810*j**2 + 43605*j - 21800.\nAnswer: 5*(j - 4360)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2 - 9*a - 5*a**2 + 10 - 2*a**2 - 1 + a**3. Determine m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 831, 832, 833, 834?\n\"Answer: r + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -112002110011?\nAnswer: -112002110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5\/4 (b) 3 (c) -372 (d) 4\/41 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - y**2 - 9*y + 13. Give j(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*k - 281, -k - m = 2*m - 54. Suppose 0 = -4*q - t - 14 + k, -3*t + 39 = 3*q. What is the remainder when 26 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*(-16)\/(-20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1374 divided by -466116.\nAnswer: 229\/77686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3 + 28925*v**2 = 0?\nAnswer: -28925, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/80 and ((-2190)\/(-120) + -18)\/(60\/(-362)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32828 and 164138\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 - 2 = 0, -o + 3*p + 44 = 0. Let g = -3 - 31. Let f = o + g. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 11:53 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-5 - -13)) + 29\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5\/20 - 30\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 6*q + 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129.04 + -51.4. Round h to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 2 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 84\/30 - (0 - -3). Sort 4, 1, v.\nAnswer: v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2735951965 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t - b = -6, -5*b + 26 = 3*t. Suppose i = t*i + 1. Let a be i - -4 - (-2 + -16). Solve -4*v + 2*h + 24 = -2*h, 3*h = 4*v - a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 142644656.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 102*j**2 + 7*j - 39. List the prime factors of h(-5).\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 487, 2079, 4787, 8611?\n\"Answer: 558*c**2 - 82*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 832, 817, 786, 733?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*j = -98, -5*r + 19 = 5*j - 101. Let i(b) = b**3 - 15*b**2 + 1724*b - 22071. Calculate the remainder when r is divided by i(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(34)\/sqrt(2) + -1) + sqrt(68)\/((sqrt(44) + sqrt(396)\/sqrt(9))\/sqrt(11)).\nAnswer: -4 + 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 1. Let p = 7.4 + 16.1. Let v = p - 23. Sort t, 0, v in increasing order.\nAnswer: 0, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 115 = -5*f + f, -i - 42*f = 2*i - 957 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + v**3 + v**2 + 4. Factor x(y).\nAnswer: y*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 12. Let h be l(-6). Suppose h = 2*y + 3*u - 27, 3*y - 3*u = u + 83. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Suppose -j - 36 = -5*j. Let q = -6 + j. Determine h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**3 + 8*a**3 - 9*a - 1 + 9*a in the form x*a**3 + t*a**2 + o + j*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((-4)\/139)*4\/1. Let a = p + -363. List the prime factors of a.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3)\/(j*j\/j**7*j))\/(j**(-2\/13)\/j**(-1\/9)) assuming j is positive.\nAnswer: j**(239\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11821905, 11822060, 11822317, 11822676?\nAnswer: 11823137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2516 and 2923?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from qpqqppppqqppqpqqpq.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 4*h**2 + 10*h + 14. Let r be k(-2). Solve 7*n - r*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 157, -957, -2819, -5429?\n\"Answer: -374*j**2 + 8*j + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*l*u*z - 3*l*z - 4*u - 6*z - 1 wrt l.\nAnswer: -18*u*z - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -2\/1099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 10:24 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -724*f**4 + 2*f**3*l*m - 2*f**3*m**3 - 143*f**2 - 99*l*m**2 - 2*m**3 wrt f?\nAnswer: -17376*f + 12*l*m - 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -13.75. Is 0 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 4, -3, -2, -537 in decreasing order.\nAnswer: 70, 4, -2, -3, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((1 + -4)\/18)\/(2\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(n\/n**(-1)))\/n)\/n)\/n)\/(n\/(n**5*n)))\/(n*n**(-1))**(-17) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 30*c - 38*c + 4*i, 0 = 5*i - 105 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -31. Suppose 0*x + 3*k + g = -3*x, -5*k - 29 = -4*x. Which is smaller: 3\/43 or x?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2))\/(m\/m**(5\/2)))\/(m*m\/(m**4*m*m)*m\/(m*(m\/m**2*m)\/m)))\/((m**0\/m**7)\/(m**(-4)*m\/(m\/(m*m**0)))) assuming m is positive.\nAnswer: m**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 2183*m**3\/6 - 259*m**2\/2 - 1573*m. Let v(l) = 42*l - 5. Calculate -5*o(d) + 259*v(d).\nAnswer: -37*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*q + 4*r, -2*q + 3*r + 5 = 6*r. Let l = -1 + 0. Let d = 1.1 + l. Which is the second biggest value? (a) 0 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/9, -5\/9, -2\/3 in ascending order.\nAnswer: -2\/3, -5\/9, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121739918*a*f**2*u**3 + 4*f**2*u**3 + 52313413*u**3 wrt a?\nAnswer: 121739918*f**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 65*j**2 + 58*j - 416. What is w(-64)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10310 (base 4) to base 8\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713429716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - 7. Let w(x) = 2*x + 3. Let i(t) = 3*r(t) + 8*w(t). Let n = 3 - 10. Is i(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-19)*l)\/(l\/l**(1\/2)))**10 assuming l is positive.\nAnswer: l**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 6*t + 28. Let x be (-65)\/(-182)*t\/(-12). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 616, 1784, 3484, 5710, 8456, 11716?\nAnswer: 15484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - -14c53?\nAnswer: 14c63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 16 - 5 - 6*c**2 - c**3 - 3*c**2. Suppose -l + s + 69 = 3*l, -4*s + 66 = 3*l. Calculate the least common multiple of x(-9) and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97030 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*q - 341*q - 337*q + 1013*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 133, -4, 535, 3 in descending order.\nAnswer: 535, 133, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, -10, -161, -456, -943, -1670, -2685, -4036?\nAnswer: -5771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 7860392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-90)*4*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = -2*q + 3, -2*q + 5*g = 3. Suppose -10 + 0 = 2*a. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - u = 22*n + 8, 5*n + 25 = -4*u. Which is the smallest value? (a) n (b) -42 (c) 5 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/28 - 113*x**3\/14 + 171*x**2\/7 + 4*x + 254. Factor m(l).\nAnswer: -3*(l - 1)*(l + 114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 40*o = -336. Is 51 a factor of (-15952)\/o + 3\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 37*h**2 - 33*h + 201. Let b be g(-38). Solve a = -4, -3*t + 13*a - 11*a = -b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 - 124*a**2 - 1838*a - 1716 = 0. Calculate a.\nAnswer: -39, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/15, 1\/8, -4, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11509552 divided by -2877388.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + -205 + (94 - 15)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000269321 to six dps.\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 2, -5, -2\/5, 6 in ascending order.\nAnswer: -60, -5, -2\/5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-69) + (-52538)\/(-22172).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 12:20 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1841d + 0?\nAnswer: 1841d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -117, -197, -301, -435, -605, -817?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 4:26 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -1\/6*z**3 + 0*z**2 + 3\/20*z**5 + 1\/6*z**4 + 0 - 20*z. Give v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-105)\/(42315\/(-124)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 26901389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 74. Suppose -1 = h - i. Suppose -h + 7 = -v. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 15*p - 19. Calculate b(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5687 is divided by 5608.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -21*n**4\/5 + 2178*n**3\/5 + 129*n**2 - 2178*n\/5 - 624\/5 = 0.\nAnswer: -1, -2\/7, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8466841 + -5287618.1533159. Let d = -5287617.9700037 - i. Let k = 1.03 - d. What is k rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/(-50) + 1)*3070445\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-4 + (-104)\/(-28)). Let p be (-12)\/(-42) + (-4)\/s. Solve g + 2 + 2 = p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -57*n**2. Let f(y) = -4*y. Determine k(f(o)).\nAnswer: -912*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 - 2*l + 2*l + (-4*l - 3*l + 5*l - 2)*(5*l**2 - 4*l**2 + 5*l**2).\nAnswer: -8*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159\/4 - 32. Find t such that 5*t**3 + 0 + b*t**4 + 0*t + t**2 + 15\/4*t**5 = 0.\nAnswer: -1, -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 14*w**2 - 2*w + 3. What is the units digit of v(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*u - 15, -12 = 2*n + 4*u - 0*u. Suppose n = -s + 2*s - b + 2, s = -2*b + 7. Is 2\/7 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/20 and -71\/512?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p + 4*p - 268430. Round p to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:14 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48679 + -27572. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {f: 1, i: 5, t: 3, x: 3, d: 1, c: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -10, -0.2, 2\/13, -57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-2)\/(-42))\/(29*32\/(-6496)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -115. Calculate the common denominator of 2\/5 + -1*i - -3 and ((-5)\/(-3))\/(2\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -56 + u**2 - 13*u + 21\/4*u**4 + 0*u**3. Find the second derivative of h(t) wrt t.\nAnswer: 126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/4 + 7*x**3\/3 - 3*x**2 - 7*x - 1. Let u be (-6)\/4*(-20)\/6. Is 11 a factor of k(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/4)\/(-1))\/((-3208051)\/(-833260)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Let r = 64 + -66.9. Let z = r + d. What is the closest to z in -1, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.357 + -0.307. Let n = -0.05 + l. Let p = n + -9. Which is bigger: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313001020 (base 4) in base 13?\nAnswer: 7b75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:22 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 - (2 - (-1 + 1)). Let n = x - 10. Suppose n*s - 9*s + 22 = 0. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose d*f = m + 6, -m - 4 = -4*f + 3*m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) + 2 - sqrt(2448)) + 5 - (-3 + (sqrt(2448) - sqrt(2448)*-1))) + -1*(-3 + -2 + sqrt(2448)))**2.\nAnswer: -1080*sqrt(17) + 22257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 184876?\nAnswer: -184876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 6*1*sqrt(612)).\nAnswer: -180*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.456 and -1.5.\nAnswer: 1.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {r: 6, q: 3, g: 2, x: 8}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -3. Let s be -4*73 - (c + 6). Let x = s + 3850\/13. Sort 1, x, 0.3 in ascending order.\nAnswer: x, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-37 + (28 + -23 - -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose 0 = -3*m - t*y - y + 244, 80 = m - y. Let k = 115 - m. Round k to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11849*v**5 + 16333*v**2 wrt v?\nAnswer: -710940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 245200667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 824 - 38726\/47. Sort -0.1, -2\/11, r.\nAnswer: -2\/11, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*c + 57 - 11, -5*l + 78 = 3*c. Let r(u) = u**3 - 19*u**2 + 29*u - 189. What is the remainder when 152 is divided by r(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 23165730*t + 75 + 23165730*t.\nAnswer: -2*t**2 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:53 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 112d (base 16) to base 6\nAnswer: 32205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4578466 and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30\/11 - -117\/55. Is 3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/112*-40*(-4)\/(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -10421*340.9\nAnswer: -3552518.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -27*o + 780. Let s be q(12). What is the highest common factor of 408 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*m - 941*m + 506*m as q*m + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*j - 67*j - 20. Let r(m) = 12*m**2 + 63*m + 19. Let s be r(j). Suppose 2*a + 11 + 5 = 4*z, -4*z - 12 = 5*a. Solve 2*h = z - s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 143038 = -112375 + 72530. What are the prime factors of a?\nAnswer: 60961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:23 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-612)\/2*138471\/(-606)?\nAnswer: 3, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 10*f**2 + 19*f - 16. Let c be b(7). Calculate the remainder when 240 is divided by 241\/9 + c\/(-135).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 45 = 5*b + 5, 0 = 3*b - 3*f - 24. What is the remainder when 3639 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a4 (base 11) to base 5.\nAnswer: -2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 2*a + 25, -2*c + 10 = 3*a. Suppose 3*q + 0*q - 2*r - 57 = 0, 0 = -c*r + 15. Suppose 4*m - q - 63 = 0. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5990, 5969, 5946, 5921, 5894?\nAnswer: 5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-285)\/114*(-4)\/15*27.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f**2 + 2*f + 1. Let p be -3 - (4\/(-2) - 0). Let v be u(p). Let r be (-11)\/(-3) - (-8)\/(-12). Solve 3*g + 17 = -v*k + r*k, 4*g = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -21*(-7 - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m + 8*m + 38 - 15*m + m**2. Let z be k(0). Calculate the highest common factor of 57 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 69. Let x(b) = -b**2 + 12*b - 25. Let i be x(6). Let g be z(i). Let l = 99 + g. What is the lowest common multiple of l and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0843 + 0.0902541287?\nAnswer: 0.0059541287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150457.\nAnswer: 43, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80.1 + 80.24. Put 2, 4\/9, d, -1\/4 in increasing order.\nAnswer: -1\/4, d, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.195463km?\nAnswer: 2195.463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-4)\/7)\/((-36)\/(-84)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 1311, -1, -3, 2 in descending order.\nAnswer: 1311, 4, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -2\/17, -0.06, -135, -1\/8, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7957 - 4403. Suppose -h = n + 4776. Is 3\/9 + h\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -61*h - 193. Determine p(11).\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 + 9 = 0. Let p be 290\/x + (-6)\/(-15). What is the highest common factor of 132 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -4.2 (c) -4\/7 (d) -10\/9 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 20. Let w = -227 + 241. Let m be n(w). Let u(a) = a**2 - 1. Let l(p) = 7*p + 1. Let q(z) = l(z) + u(z). What is q(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.052 and 1.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185968 divided by 1404.\nAnswer: -46492\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)*z**(1\/2))\/(z\/z**(-2\/5))**28 assuming z is positive.\nAnswer: z**(-3463\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:24 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 + 4*p**2 + 0*p**2)*(43*p + 47 - 47) - 4*p**3 + 5*p**3 + 0*p**3 - 3*p**3 + 3*p**3 - 3*p**3 to v*p**3 + a*p + x*p**2 + m and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 30, 21, -15 in ascending order.\nAnswer: -15, -5, 21, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t*t**12))\/t)\/((t**(-6)*t)\/t))\/(t*(t*t**5)\/t*(t**4*t)\/t))**(-7\/2) assuming t is positive.\nAnswer: t**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = r + 5 - 0, r = -4*p + 25. Suppose -50 = -0*t - r*t. Suppose -5*h - 30 = -t*h. Calculate the lowest common multiple of h and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 + 84. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -460 - -460. Suppose -3*m - d - 12 = -17, c = -5*m + 2*d + 12. Solve -32 = 6*w - m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let s be w(1). Let r = 1 - s. Let x = -1258\/7 + 180. Is r at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 129?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 14 - 1 - (-14 + 3) - 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q + 0*q - 154 + q + 139. Suppose -368*i - 5*x = -372*i + 43, 0 = 5*x + 15. Calculate g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20879371477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -230 + 155. Let c = j - -75. Factor c + 0*a**2 + 2\/21*a**3 + 0*a.\nAnswer: 2*a**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 12840789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-11))\/d)\/(d\/d**(-3\/8)))**(-37)*d**(-3\/2)\/d**(-1\/3)*d**6\/((((d*(d*d*d**(-1\/9))\/d)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(30731\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-132))\/(35\/30))\/((-40)\/(-15)*3).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/95)\/(2742\/(-17366))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, m: 1, u: 1, j: 3, p: 4, s: 1}. What is prob of sequence mm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45572 - -12304493\/270. What is the common denominator of 161\/30 and r?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 822 - 314. What are the prime factors of h?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 1 - 1. Suppose j + r*j = 7*j. Solve 5*m - m + 20 = j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37a2 (base 11) to base 9\nAnswer: -6712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 575 + 7*x - 5*x - 2*x + 7*x**2 + 162*x**2 with respect to x.\nAnswer: 338*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-14) + (-3412)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38271709 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*g + 52 = 2*u, 28 = 2*u + 4*g. Let s = -298 + 514. What is the greatest common divisor of u and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1530 and -67\/127922076.\nAnswer: 639610380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - 30. Let y be (-2)\/(-10) + 414\/u. Suppose -5*g = -3*g - y. Calculate the remainder when g is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 0*d)*(-3 - 3 - 3 + (-2 + 1 + 2)*(-9 + 0 + 2)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21215 greater than 21215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 852, 2663, 5430, 9153, 13832?\n\"Answer: 478*g**2 + 377*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 56\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -61*f**4\/4 - 7*f**3\/3 + f**2 + 29*f + 155. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -530, -3, -4, 6 in ascending order.\nAnswer: -530, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 199*i**2 + 127*i - 128. Calculate the least common multiple of 1584 and z(1).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let u be 8\/(0 + (-3 - d)). Solve 4*o + 17 + 15 = -4*w, 0 = w - 3*o - u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(-1)*28\/(-49).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-3*(sqrt(190) + 3*sqrt(190)) - sqrt(190)) + sqrt(190))\/(2*sqrt(640)) - (-4*-1*sqrt(190))\/(-3*sqrt(250)))**2.\nAnswer: -15979\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7372*q**2 + q - 1. Let f be p(1). Suppose -8*c + f = -17884. Let t = c + -1808. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 4. Let f be x(9). Let p = 10 + f. Sort -4, 2, p in descending order.\nAnswer: p, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 457\nAnswer: -3\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (19 + 0 - 4). Suppose 12*u = 4*j + 13*u - s, -4*u = 4*j. Calculate the least common multiple of j and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(180) - sqrt(180)*-2))\/(-5*(sqrt(9) + sqrt(36)\/sqrt(64))).\nAnswer: -2*sqrt(7)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 45*l - 130. Calculate o(-42).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 406732 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -535286311.681 and 15.\nAnswer: -535286296.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.176, -0.3, -0.127, -2\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1230771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3549 (base 16) to base 6\nAnswer: -143053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 - -2.4. Suppose 17 + 8 = -5*r. What is the nearest to -0.1 in r, c, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24592576?\nAnswer: 2, 384259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = s + s, 0 = 4*m + 20. Let g(y) = 3 - 34*y - 1 + 38*y + 2*y**2 + 1. Let t(l) = -5*l**2 - 11*l - 8. Let c(w) = s*g(w) + 3*t(w). Determine c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -100*z - 792 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36372164?\nAnswer: 2, 71, 89, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 42 - (-25 - 9) - (2 + -77).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 12:07 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*c + 31, -2*x + 31 = -x - 5*c. Suppose -3*d + x + 47 = 0. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061811.6 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/(-1*4\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u + 349. Determine d(15).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tabtbbtmttttamhhhm. Give prob of picking 1 t and 2 h.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/n**(2\/7)*n)))**39)**(-12\/5) assuming n is positive.\nAnswer: n**(-468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13729324 and 313614.\nAnswer: 123563916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -131*j**4\/4 + 147*j - 227. What is the derivative of h(b) wrt b?\nAnswer: -393*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/(h*h*h\/h**1))\/h*h\/(h\/(h\/(h*h**6)))*(h**(1\/3))**(-34)*(h**(-1)*h**(2\/3)\/h)\/(h*h**(-1\/3)*h*(h**(2\/5)*h)\/h) assuming h is positive.\nAnswer: h**(-326\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 0. Let v(d) = -3*d - 4*d**2 + 1 + d**2 + 4*d**2 + 3. Let u be v(3). Solve 2*c = u*b + b - 33, h = 4*b - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/9)*(((m**1*m)\/m)\/m)\/m)\/(m**(-2))**(-19\/6))\/((m**2)**(2\/37)\/(m**(-4\/5)*(m**8*m)\/m)) assuming m is positive.\nAnswer: m**(1448\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 156*r**3 - 316*r**3 + 1127*r**3 - 247*r**3 - 508*r**3 - 484*r**3.\nAnswer: -584*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -12894?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -9)*4 - 5. Sort 154, 4, a in decreasing order.\nAnswer: 154, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 2*y**7\/105 - 414*y**6\/5 + 771282*y**5\/5 - 159655374*y**4 + 99145987254*y**3 - 3850*y**2. Solve x(b) = 0.\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136494 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: How many minutes are there between 4:10 AM and 6:38 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 4*t + 10. Let a be i(2). Solve -6 = u - 5*o, 6*o - 5*o = -u + a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84739, -338663, -761869, -1354357, -2116127, -3047179, -4147513?\n\"Answer: -84641*i**2 - i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, -173, -471, -883, -1409, -2049, -2803?\n\"Answer: -57*r**2 - 13*r + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100110100000100110011 (base 2) in base 8?\nAnswer: 64640463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l**8*l)))\/(l\/(l*l\/l**(1\/4))*l)*l**(-14)\/l**(-14))**1)**17 assuming l is positive.\nAnswer: l**(663\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Let m = -5 - -5.02. Which is the second smallest value? (a) -0.3 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/14 + 2 + 825\/175. What is the third derivative of 296*r**5 - 296*r**x - 14*r**2 - 4*r - 7*r**6 wrt r?\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 6*y + 25. Suppose -4*p + 9*p - 15 = 0. Suppose 2 = p*v - 13. Solve 2*h + 6 = 0, -y*h = -3*o + v + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -378*y**2 + 543*y**2 - 17*y**2 + 697*y**2 + 722*y**2 in the form z + m*y**2 + q*y and give m.\nAnswer: 1567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -332. Calculate the remainder when q is divided by ((6\/8)\/((-17)\/1632))\/(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68291651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:51 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6417 + 6611. What is the remainder when j is divided by 133?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113*r + 113*r - 46*r**2)*(-r**2 - 2*r**2 + r**2 + 2) + 3 - 3 - r**4 to z*r**2 + u*r + n*r**4 + t + o*r**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279344 is divided by 197.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8036)\/(-18) + -8*(-12)\/(-216) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d - 6 = -34*d. Solve h - 4*y = -0*h + d, -5*y - 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 3*s**6\/2 + 219*s**5\/5 - 99*s**4 - 52*s**3 - 916. Determine o, given that k(o) = 0.\nAnswer: -26, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -14*b**2 - 37*b - 6. Let c(t) = -16*t**2 - 36*t - 7. Calculate -5*c(u) + 6*l(u).\nAnswer: -4*u**2 - 42*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-4 + 2))*(-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23072 + -1453456\/63. What is the common denominator of -97\/54 and c?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 5854?\nAnswer: -9\/5854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3432 (base 9) to base 14.\nAnswer: cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/((-45)\/10))\/2)\/(2023\/(-1156)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Suppose -5*s = z - d*z - 19, 4*z + 17 = 3*s. Let n be 7\/49 - (-26)\/14. Sort z, -4, n in decreasing order.\nAnswer: n, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 61*a**2 + 2*a - 2*a - 60*a**2 as f + p*a + s*a**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzzztzzzzzzzzzzztzt. Give prob of picking 1 z and 2 t.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 50. Calculate the remainder when p is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/9 + 10\/3*b**2 - 16\/9*b**3 + 2\/9*b**4 + 16\/9*b.\nAnswer: 2*(b - 4)**2*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f + 1. Let i be 3 - 1*12\/2. Let h be y(i). Is 13 a factor of 33\/11 - h\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(2\/5))**22)**(1\/21) assuming z is positive.\nAnswer: z**(88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 + 6*u + 6. Let x be v(-4). Let j be 15\/10*(0 - x). Let d be 0 - j - (-1 - 2). Which is bigger: 3\/11 or d?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - 3*j**3 - 4*j**3)*(-2*j**2 - 3*j + 3*j) + 0 + 0 - 5*j**5.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**15*f**(-7)*f**(2\/3))**36 assuming f is positive.\nAnswer: f**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 19*j**2 - 25*j - 18. Does 11 divide z(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-7))**1)**37 assuming v is positive.\nAnswer: v**(-222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07512635204 rounded to 5 decimal places?\nAnswer: -0.07513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 2 i when four letters picked without replacement from niueusnincininn?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + (-3 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = 7*k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1970 or 8?\nAnswer: -1970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0 - 1\/24*r**4 - 1\/6*r**3 + 0*r + 2*r**2. Determine l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/171340 and -7\/1706?\nAnswer: 146153020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3*(-6)\/(-99).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1126 - 2064*r**3 - 1126.\nAnswer: -2064*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.390965 rounded to one decimal place?\nAnswer: 149.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:45 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -268, 0, -9, 2, -25 in ascending order.\nAnswer: -268, -25, -9, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2510?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h + 2. Let n be i(0). Let a(g) = g**2 - 2*g - 11. Let t be a(5). Suppose n*k - t*k = -24. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = k - 2*k, 3*b - 13 = -2*k. Suppose b*c = -c. Solve 11*p - 14*p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.1 minus -561727019?\nAnswer: 561727129.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-1947)\/354 + (-3 - -3)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 0 (c) -3 (d) -2 (e) -524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.166740251157 + 45.\nAnswer: 49.166740251157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -381245 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3030940524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.04 + -23. Let g = c + -1.14. Which is bigger: 12 or g?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399 - 357 = -21*n. Let m(c) = -c - 10. Let k(r) = -4*r - 30. Determine n*k(j) + 7*m(j).\nAnswer: j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59747? (a) 5 (b) 1 (c) 2\/13 (d) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -4b5ac?\nAnswer: -4b5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10586461\/668 - 15848. Calculate the common denominator of l and 97\/28.\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-2 + 87 + -2). Let j = w + 55. Let y be 2*-9*12*(-10)\/(-80). Is j < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -4 + (137 - 136) + 1 + 6 + -41\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323 = 9*j - 36. Let m = -149 + j. Solve x + 0*h - h = m, 2*x - 1 = h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-680)\/(-28) - (-6)\/(-21). Let n be (-7)\/(5 + -7 - -1). Suppose 0 = n*r - 1523 + 179. What is the greatest common divisor of r and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 l when four letters picked without replacement from yrylrlyyririrrllmyl.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51050174?\nAnswer: 2, 7, 3646441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.1 + -3.6. Put 5, 0.4, z in decreasing order.\nAnswer: 5, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + -2 + 2 + -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 17921575.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = 0, -5*d + 82 + 226 = -3*v. Solve 0 = c - 59 + d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 37797\/301 + (-1)\/((-14)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - y**2 - 10*y + 36. What is the lowest common multiple of a(3) and 356?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18907342 is divided by 6302442.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*q + 2)*(21*q + 20*q + 34*q) - 2*q**2 + q**2 + 3*q**2 in the form l + c*q**2 + p*q and give c.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h, 8*h - 12*h - 15 = -n. Calculate the remainder when 367 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n**2*z - 45*n**2 - 2*n*z - n - 16178*z wrt n.\nAnswer: -6*n*z - 90*n - 2*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52810 - 36756. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*j - 60296 - 29122 = -20778 for j.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54262767 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 4*w + 7*w)*(-27*w - 19*w + 19*w) + 0*w**2 - 2*w - 9*w**2 + 5*w**2.\nAnswer: -31*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*j + 1)*(0*j + 0*j - 4*j) + 71*j - 6*j**2 - 71*j to the form r*j + k + i*j**2 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28559525 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48910 divided by -5.\nAnswer: 9782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 - 2*x. Let g be l(3). Let d = 6 + -1. Let j = 1229 - 1227. Solve -g = -j*t + d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453844 is divided by 18872.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-8)*(2 - 5). Let i be (3\/(-15))\/((-16)\/(-10)). Let a = m + i. Which is greater: a or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 4 - 4)*(0*y + y + 2*y) - 5*y**2 + y**2 + y**2 + 567*y**2 - 429 - 1135*y**2 + 566*y**2 to the form c*y**2 + s + g*y and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - p + 1. Let c(w) = -8*w**3 + 6*w**2 - 10*w - 3. Calculate -c(u) - 6*x(u).\nAnswer: 2*u**3 + 16*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1892 and (346\/(-45))\/(((-32)\/10)\/(30\/(-1075)))?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 6:48 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -58, -128, -226, -352, -506?\n\"Answer: -14*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/3))\/v**(-2\/7))\/(v**(1\/3))**16)\/(((v*((v\/v**(1\/4)*v)\/v)\/v)\/v**3)\/(v**(-1\/5)\/v**(-1\/2))) assuming v is positive.\nAnswer: v**(-769\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*m - m - 3*m)*(3*m - 2*m - 3*m) + 2*m**2 - 7*m**2 + 4*m**2 + (0*m - 2*m + 0*m)*(-5*m + 2*m + 4*m) to x*m + a*m**2 + p and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*p**2 + 6 - 2365*p**2 - 6 + 1209*p**2.\nAnswer: -1588*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/35)\/((-2)\/(-5)). Let p be -1*1\/1 + n. Suppose -3*u + 20 = -p*u. What is the greatest common factor of u and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 119. Let w be (r - 1 - 0)\/2. Suppose 3*i = w + 13. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207*(-8)\/(-84) - (4\/9)\/((-1246)\/(-801))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2466897\/(-24) + 2\/(-4). Let l = -102526 - j. Let w = l - 261. Find the common denominator of -19\/9 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 12*x - 51. Let p(y) = -y**3 - 22*y**2 + 26*y + 65. Let u be p(-23). Let q be b(u). Solve -2*f = -t + 8, -t - 5*f - q = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*t**3 - 11*t**3 + 21 - 20*t**3 + 2*t wrt t.\nAnswer: -60*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, 2\/61, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 59934 = -3*r, -7416 - 52518 = 3*r + 4*d. Let j = -4674695\/234 - r. Find the common denominator of j and -24\/5.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 + 3*j - 2. Calculate the remainder when l(4) is divided by (-85 + 33 - (-1 + 0))*8\/(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 106, 36, -62, -188, -342?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 1037*u - 30924. What is c(31)?\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:55 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34538 or -0.0321?\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -948178195, -1896356390, -2844534585, -3792712780, -4740890975?\n\"Answer: -948178195*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwd when three letters picked without replacement from {w: 6, d: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1*-1)\/((-32)\/40)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3887 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61692311 and 296776.\nAnswer: 493538488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*826.\nAnswer: -165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 517*l + 38293. Calculate x(-75).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 4. Let i be k(-8). Suppose 2*c = -0*c + 2*d, -i*d = 4*c - 40. Solve -y + 4*b = -0*y + 15, -b = -c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + 1705*h - 8345. What is m(-289)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.6858 centuries in decades?\nAnswer: 356.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2559, 1, -2, -243 in increasing order.\nAnswer: -243, -2, 1, 27, 2559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 3523878.\nAnswer: 17619390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 at least -659\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 413477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1324883.1 months to centuries.\nAnswer: 1104.06925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17452172897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25, -3, 5.\nAnswer: -3, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 20*p = -5. Solve 3*r - p*r = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726047496 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w - 3 + 7*w**2 + w**2 - 6*w**2 - 4. Let y be d(7). Differentiate -7*p - p - y + 165 wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 8cb?\nAnswer: 8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1161 + -1087. Is d a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3191.76 millennia?\nAnswer: 31917.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u\/(u**1*u*u)))**50 assuming u is positive.\nAnswer: u**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001445931821 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1176, -1174, -1172?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -886 divided by 11448\nAnswer: -443\/5724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -189, 1\/4, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 707733 and 14991.\nAnswer: 13446927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57489048 divided by 9.\nAnswer: 6387672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 52\/189 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1700 or 1714?\nAnswer: 1700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -74. Let s be -9 + (r\/6 - (-3)\/2). Let k(h) = -h**3 - 7*h**2 - 7*h - 6. Calculate k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -8, -16, 1 in increasing order.\nAnswer: -16, -8, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -4\/7 (c) -1912 (d) 8 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11427154 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 2 + -2 + 5. Solve 3*u = j*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*q = 1317, 3*l - l - 3*q = 888. Calculate the highest common divisor of l and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 35. Let l be (-104)\/(-6)*(1 + q\/4). Let v = -20 + l. Calculate the remainder when 15 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*u + 3 + 5, 5*u - 5 = 2*f. Let g = 3 + -3.2. What is the second smallest value in g, 1, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -25\/3*s**3 + 79\/2*s**2 + 169*s + 0. What is the first derivative of x(n) wrt n?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-1)*16\/(-10). Let u = -202 - -194. Let l = u + z. Solve q + 5 = -l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109568.5103 + -109563. Let l = h - 305.4403. Let m = l + 303. What is m rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20010 + -12?\nAnswer: -20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 22 + 35\/12*y**4 + 0*y - 185\/9*y**3 + 25\/3*y**2. Determine o so that g(o) = 0.\nAnswer: 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 612.9621ns?\nAnswer: 0.0006129621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a + 2*a**2 + 3*a**2 - a**2 + 21*a.\nAnswer: 4*a**2 + 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-156)\/(-117))\/(4\/(-18)). Let n(a) = a**2 - 3*a - 8. Calculate n(l).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 12908, -12 in descending order.\nAnswer: 12908, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003333946934 to 7 decimal places.\nAnswer: 0.0000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, 2, 721, -1\/4 in ascending order.\nAnswer: -5, -1\/4, 0, 2, 4, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 29 = -2*b, 4*b - 3*j - 55 = 0. Suppose -5*u = -u + b. What is the nearest to -1 in 0.1, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54121*s**5 - s - 1874.\nAnswer: -1082420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighteenths of a week?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -48, -86, -132, -186, -248, -318?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(3*3\/(-12)) - 0. Let y(w) = 3*w - 6. Let x(s) = 3*s - 5. Let f(i) = 2*x(i) - 3*y(i). What is the tens digit of f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9628579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17664 and 56856?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -9\/4 (c) 185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 2*n - 1. Let a be l(-1). Let g be (-2)\/a - (-14)\/3. Is ((-3544)\/32)\/((-1)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-1320))\/(37*(-4)\/80)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/15 + 47372*d**4\/15 - 1729252*d**3\/5 - 10612352*d**2\/15 + 5187754*d\/15 + 704332 = 0?\nAnswer: -23795, -2, -1, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364063129.\nAnswer: 29, 12553901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6*y - 4 = 0. What is the first derivative of v**4 - v**y - 5*v**4 - 6 wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -69326?\nAnswer: -69324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-4)\/(-6)*42\/(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7547 at least as big as -7446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -234 * -0.1051.\nAnswer: 24.5934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9955 and -0.013?\nAnswer: -0.0129415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -115971.6 rounded to the nearest 1000?\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 9*i - 6. Let s be a(5). Calculate the common denominator of (s\/(-4))\/(33\/6) and 65\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1243255 (base 6) to base 16.\nAnswer: 10a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:52 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 8033487.\nAnswer: 152636253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-3)*(-1)\/(-2) - (-96)\/45\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 4*l + 4*l)*(-8*l - 64 + 64)*(-7*l + 0*l + 4*l) to d*l + k*l**3 + i*l**2 + b and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1014165, 4056808, 9127923, 16227510, 25355569?\n\"Answer: 1014236*c**2 - 65*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47818*h**2*q - h*q + q + 130991 wrt h?\nAnswer: 95636*h*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 0*t - 14 = -2*t, 3*n + 2*t - 6 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/71, -4 in decreasing order.\nAnswer: 2\/71, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -50 + (2 + (-14 - -19) - (-1 + 3))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b, 14 = 2*r - r - 4*b. Suppose g + r = 4*k + 3*g, -2*g = 10. Solve 0 = -k*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304741562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(847)*1)**2 - sqrt(847)) + -3 + -4 + ((1*sqrt(847)*5 - sqrt(847))*-2)**2 + 3)*1.\nAnswer: -165153 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3. Let r(u) = u - 6. Let g be r(8). Suppose -2*z = 2*z - g*a - 16, -10 = -5*a. Let s = z - 4. Calculate d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101010010101101100010101 + 0?\nAnswer: -100101010010101101100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 759 and 27.\nAnswer: 6831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*o**3 + 5*o**2 - 4*o**2 - 535*o**3.\nAnswer: -1060*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -3451?\nAnswer: 3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*g + 18 = 0, 2*g - 507 + 495 = -4*u. Let f = -7019\/17 - -413. Sort u, -0.09, f.\nAnswer: -0.09, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + ((-134)\/(-8))\/(-1). What is the closest to 1\/2 in -3.9, 18, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2228 and 24\/6127.\nAnswer: 24508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**3 - 6*i**2 - 11*i + 6. Let r(w) = -w**2 - w + 1. Let u(v) = a(v) - 6*r(v). What is the second derivative of u(x) wrt x?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 208731, 208730, 208729, 208728?\n\"Answer: -w + 208732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 142*h + 426. What is s(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 7*x**2 - 6*x - 9. Let t(z) = -z**3 + 7*z**2 - 5*z - 8. Let i(g) = 3*p(g) - 4*t(g). Is i(7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00501099636 rounded to 6 decimal places?\nAnswer: -0.005011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(1\/16)*d)*d)**(1\/11)\/(d**(1\/4))**(-18))**(-3\/40) assuming d is positive.\nAnswer: d**(-2421\/7040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 28 = 6*o. Is (-1588)\/(-28) - (-2)\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x**2 - 2*x - 14. Let u(a) = -7*a**2 + a + 7. Let t(h) = 6*m(h) + 11*u(h). What is the tens digit of t(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 8*v + 0 + 9\/2*v**2 + 1\/20*v**5 - 1\/12*v**4 - 1\/3*v**3. Let q be b(0). Calculate the highest common factor of q and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*b - 8, 5*b - 35 = -4*x - x. Let d = 5 - x. Factor 0 + 0*f + 4\/9*f**4 - 2\/9*f**5 - 2\/9*f**3 + 0*f**d.\nAnswer: -2*f**3*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.31, -0.1, -1\/43, -0.5, -35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 20 = -5*c, 0 = -5*c - 98*d + 103*d + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1047472 rounded to 4 decimal places?\nAnswer: 0.1047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 1\/3*u**4 + 0*u**2 - 10*u + 0*u**3 + 0*u**5 - 1\/5*u**6 + 0. Find the third derivative of x(z) wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**7)*t*(t*t**(2\/9)\/t)\/t*t*(t**(1\/4)\/t*t)\/(t*t**2) assuming t is positive.\nAnswer: t**(197\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*g - x - 31, 0 = 14*g - 19*g - 3*x - 79 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (2250\/360)\/((-10)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201022 + -1?\nAnswer: -10201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1565\/3138 + 2\/1569. Let k = 250 - 2748\/11. What is the closest to -4 in k, -2\/15, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - r = 2197, -2*r + 8 - 2 = 0. Suppose x - 4237 = -y. Let o be x + -4 + 3 + 4. Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = 0. Suppose 2*m - m + 1500000 = -4*x, u = 2*m - 5*x + 3000000. What is m rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363812591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/30 and ((-504)\/150)\/((-12)\/30).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + (-4)\/(-6). Let h = -0.2 + 3.2. Suppose -16*m = -18*m - 10. Which is the third biggest value? (a) m (b) h (c) l (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3405 = 16*p - 86243. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 491 or 206196\/419?\nAnswer: 491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 a when four letters picked without replacement from vaaaaavvaaaavava.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, x: 3}. Give prob of picking 3 p and 1 x.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 23*v**2 + 65*v - 123. What is o(20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -7*d, -41 - 4 = -5*w + 4*d. Solve -2*r + 6 = 0, 43*s - 45*s - w*r = -25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(97 - 195 + 98 + 165*t).\nAnswer: 165*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 12:34 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/9 (b) 0.2 (c) 0.4 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g**2 + 170*g - 19. Let i be d(-19). Solve 5*h - 9*h + 20 = i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1494 divided by 587809\nAnswer: 1494\/587809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhhw when four letters picked without replacement from {y: 3, u: 2, w: 2, e: 4, t: 2, h: 2}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 510 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58)\/(-5) - (-24)\/(-40) - -2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15544150 (base 6) to base 15\nAnswer: b05e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2132549, 4265100, 6397651, 8530202, 10662753?\n\"Answer: 2132551*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 3*d + 22. What is g(-9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 363, 359, 341, 303, 239?\n\"Answer: -z**3 - z**2 + 6*z + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15017*-226\nAnswer: -3393842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 303.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -n + 97, -3*i = 15. Suppose -5*t - 15 = 0, 5*k + 4*t = 93 + 35. What is the greatest common factor of k and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278854434.\nAnswer: 2, 3, 17, 179, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Let t = 3.1 - y. Does t = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 198 - 26 - 25 - 23 + 15*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3 + 6*p + 20*p**3 + 3*p - 6*p**3 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88188 is divided by 63.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3144747*i**3 - 9987056?\nAnswer: 9434241*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/15 - 1228944*m\/5 - 566363758176\/5.\nAnswer: -2*(m + 921708)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6650207*t - 2*t**2 + 6650207*t + 3*t**2 + t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5, -295, -5 in descending order.\nAnswer: 5, -3, -4, -5, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/556478 and -139\/510?\nAnswer: 8347170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*i**3*q**2 + 3*i**3 + i**2*q**2 - i**2 - 31*q wrt q.\nAnswer: -254*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1415, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*b - 10*b. Let h(x) be the third derivative of -1\/40*x**6 + 0 - 8*x**2 + 1\/15*x**5 + 0*x + b*x**3 - 1\/24*x**4. Suppose h(w) = 0. What is w?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 349*i + 125. List the prime factors of x(8).\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 268 - 865 = -5*g, -j - 464 = -4*g. Which is greater: 231\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1666373\/323 or -5160?\nAnswer: -1666373\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -40 (c) -4\/13 (d) -2\/3 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2952 and 16192.\nAnswer: 5974848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1327350?\nAnswer: 14600850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 35431?\nAnswer: -14\/35431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, k: 1, y: 1, b: 1}. What is prob of sequence by?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/7 - 1640323098*z\/7 - 224221655486026467\/7 = 0 for z.\nAnswer: -273387183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/168*-6)\/(15\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -381 - 3?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 + 4*x**2 + 3*x - 1. Suppose -7*i - 25 = 17. Let k be (i\/9)\/((-26)\/(-195)). Determine u(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**2 + 1970*q + 1818*q - 24*q**2.\nAnswer: -59*q**2 + 3788*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167231127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {c: 5, t: 3, y: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 3 - 3 - 5*v**3 - 4*v + 7*v - v - 3*v**3 + 2*v**3 - v**3 + (0*v - 4*v + v)*(v - v**2 - v).\nAnswer: -3*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -43234?\nAnswer: 43213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12906\/5 at most -2581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.696 - -14.696. What is the third smallest value in a, 5, -0.03?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 + -1.14. Let n = -1.32 - u. What is n rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1062794142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2883 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(6\/(84\/7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 0)\/(9\/(-6)). Let v(y) = -d - 3 + 5 + y. Give v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574454 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -288? (a) -5091 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 32.9994. Round g to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17548409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -17\/1431, 0.2?\nAnswer: -17\/1431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 4*m - m)*(-1 - 3 + 2) + (-3 + 2 + 2)*(6*m + 2 - 2))*(-11*m**2 + m**2 - 4*m**2).\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348186 is divided by 58029.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/120 - p**4\/3 + 8*p**2. Let u(g) be the second derivative of f(g). Let l(h) = -h + 1. Calculate -l(q) - 2*u(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2281, -2273, -2251, -2209, -2141, -2041, -1903?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b + 0)*(4 - 5 - 6)*(-12*b + 5*b - 7*b).\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 233827828079.\nAnswer: 233827828067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 31*g - 3927. List the prime factors of t(-58).\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12863*n**2 + 4454*n - 4458*n - 6414*n**2 - 6444*n**2.\nAnswer: 5*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/6)*a))\/(a**(-3\/4)*a))**(2\/13) assuming a is positive.\nAnswer: a**(-17\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0*k - 16 - 4*k + k**2 + 11*k + 4*k. Let v be h(-13). Let u be ((-8)\/v)\/((-4)\/20). Are -2 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 8*n**2 + 7*n + 8. Let w be s(9). Let p = 11 + w. What is the nearest to p in -2\/21, 1, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 87*k - 216 = 0. Sort k, -253, -5 in decreasing order.\nAnswer: k, -5, -253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.2 + -31. Let h be 1202\/8 - (-10)\/(-40). Let o = 1348\/9 - h. Sort -1, o, y in descending order.\nAnswer: y, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/7*1\/(-3). Suppose -r - 3*a = -0 + k, -r - a = -3. Suppose 23 = b + r*j, j = -b - b + 28. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16095335 times 0.6\nAnswer: 9657201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 1528*y + 65873. Determine j(42).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/341)\/(26\/(-5291))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3206166*l**3\/5 - 22425618*l**2\/5 + 122784*l\/5 - 168\/5.\nAnswer: -6*(l + 7)*(731*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -70364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/936 and 133\/1171980?\nAnswer: 30471480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c8e (base 15) in base 9?\nAnswer: -24358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 + 2*f**3\/3 + 2*f. What is the second derivative of x(c) wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -540, -1081, -1622, -2163, -2704?\n\"Answer: -541*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from yimyihhyyhyyyyhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17242712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 328 from -3.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 a when four letters picked without replacement from yyqyayqyyqmymmmqqqyq.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1387485*w**4 + 10665*w**2 - 20*w + 2 wrt w?\nAnswer: 33299640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*s + 1 = -2*n + 91*s, -5*n + 4*s = -23 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108780 and 494900?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5141005 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.09 - -0.17. Let f = -2858 - -2857.095. Let d = f - h. Round d to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 2, -1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-36)\/8))\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109621*s + 0 - 10*s**2 - 10*s**2 + 2 + 22*s**2.\nAnswer: 2*s**2 - 109621*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (786\/3668)\/((-2694)\/189) and -37\/898.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1\/4 (c) -0.0672 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/510, -1\/4, 6, 0, -9 in ascending order.\nAnswer: -9, -1\/4, -1\/510, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2. Suppose 0 = 4*s - 12 - 0. Suppose -s*t = -6 - 3. Let i(g) = 3 + 3*g - g - t. Determine x(i(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:09 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2411374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -105. Suppose m = 5*f - 67. Suppose -53*w + 50*w + 249 = 0. What is the remainder when w is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - f + 59 - 154 - 19.\nAnswer: -f - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y. Let h be (-1 - 1)*1\/(-2). Let w be 1 - h\/(1*(-4)\/6244). Let u(a) = 1562*a - a**2 - w*a. Calculate u(n(s)).\nAnswer: -225*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 + 103. What is the tens digit of (-190)\/(-10) - (d + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233514 is divided by 2171.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.46246 to 1 dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5770941 centuries?\nAnswer: 57.70941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 5) to base 6.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - 340?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74400 rounded to the nearest one thousand?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*k + 83 + 117. Solve 0 = -5*a + 6*a + k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (69 + -73)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146, -289, -430, -569, -706, -841, -974?\n\"Answer: f**2 - 146*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = -95. Suppose -2*a + c = 3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.051us in nanoseconds?\nAnswer: 853051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1539)*5 - sqrt(1539)) + sqrt(1539) + 5)**2 - ((sqrt(19) + 2 + 5)**2 + 4))*4.\nAnswer: 6976*sqrt(19) + 614848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 12*x**2 - 16*x - 6. Let m be b(-13). Let q = m + -9. 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: Let s(v) = 6*v**2 - 60*v + 461. What are the prime factors of s(8)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/((-1)\/2 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6840359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1215*y + 2795. Let w be l(71). What is w rounded to the nearest 1000?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 528.\nAnswer: -7\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 6*t - 7*t)*(-38 + 17*t + 38)*(-3 - 1 - 3).\nAnswer: 833*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, 3, -2619, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 + 216. Solve -g = -11*r + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-7))\/f**(3\/7))\/(f**10\/f**(-9)))**(-2\/117) assuming f is positive.\nAnswer: f**(356\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 36146.\nAnswer: -36153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 148\/3*x**3 + 0*x**2 + 133 + 0*x. Let u(q) = -3*q. Determine v(u(t)).\nAnswer: 1332*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/5 + 123*t\/5 + 124\/5 = 0 for t.\nAnswer: -1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3843 divided by -1.\nAnswer: -3843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1000001001101?\nAnswer: 1000001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9150458.\nAnswer: 2, 23, 67, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.1. Let s = -0.5 - -0.9. Let q = s + u. Which is the smallest value? (a) 4 (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/60 + 3411*i**2. Let f(g) = 109*g**2 + 2. Calculate f(p(j)).\nAnswer: 109*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2286 - 2296 = -2*f, f - 4*l + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 813, 810, 807, 804?\n\"Answer: -3*w + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, 41, -5 in descending order.\nAnswer: 41, 19, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1045308 less than -1045309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frqrrqqqfrqqqfqq. What is prob of sequence ffrf?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 1206?\nAnswer: 11\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 64*j + 344. Calculate the remainder when p(-20) is divided by 247.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, 2, -9.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-689)\/(-2) - 9\/((-90)\/(-5)) and 16?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7520 < -7519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2728.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5670 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 0 + (sqrt(44)\/sqrt(4)*6 - sqrt(11) - sqrt(11)).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/72*21*1242\/(-161)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffg when three letters picked without replacement from {g: 3, f: 2, s: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 0.9. What is the third smallest value in -4, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48419 + 8018. Does 30 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -84.55. Let s = 3.53 - i. What is the nearest to 0.2 in s, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6941 - 28933?\nAnswer: -21992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 11. Let f(c) = 5*c**2 - 51*c + 9. Let a be f(10). Let d(i) = -6*i + 46. Let b(p) = a*d(p) - 4*n(p). Let m be (1\/1)\/((-2)\/(-6)). Determine b(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 times -10.31\nAnswer: 319.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 4356?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 847 - 658 = -780. Sort h, -3, -1\/9, -8\/5 in increasing order.\nAnswer: -3, -8\/5, -1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q**3 + q**2 - 34*q - 25. Let j(p) = 3*p**3 - 8*p - 6. Give 2*g(s) - 9*j(s).\nAnswer: s**3 + 2*s**2 + 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 9) to base 13\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 479\/3 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690435 to the power of 1\/2, to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*f - 587 + 4632 + 186 + 8279 = 0 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -972.11 + 972. Let w = -7 + 4. Which is the third smallest value? (a) -5 (b) -0.3 (c) w (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 17*m**3 + 6*m**3 - 7.\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -55.32. Let o be (8\/180)\/(3\/(-15)). Which is the second biggest value? (a) o (b) i (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1980, -2015, -2052, -2091, -2132, -2175?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/120 + t**3\/2 + 2*t**2 + 2*t - 7. Let b(n) be the second derivative of s(n). Let k(c) = 3*c + 8. Calculate b(k(x)).\nAnswer: -27*x**2 - 144*x - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7459, 14940, 22421, 29902, 37383?\nAnswer: 44864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -74.29 (c) -4\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -6. Let k = 5 - 1. Suppose k*v + 90 = 5*v. Calculate the greatest common factor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 7:56 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 + -1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m - 4. Let l(b) be the third derivative of -b**4\/24 - b**3\/6 + 2488*b**2. Determine -j(v) + 6*l(v).\nAnswer: 8*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 21426. Let p = 409295 + g. Suppose -3*o - p = -3*x - o, -5*o - 280020 = -2*x. Round x to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 215, 223, 227, 227, 223?\n\"Answer: -2*o**2 + 14*o + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 l when four letters picked without replacement from clclcllclc?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.195 + -0.4. Let c = u - -0.2049822. What is c rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/54683464 and 43\/29827344.\nAnswer: 328100784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -230. Suppose 11*n - 6*n - 35 = 0. Suppose -g + n - 23 = -r, -r - 5*g = -10. Calculate the greatest common factor of r and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1259 or -1261?\nAnswer: -1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 298 = 2*l + 4*x, l - x = 145. Let y = 703\/5 - l. Let r(i) = i - 14. Let t be r(11). Sort y, 3, 0, t in ascending order.\nAnswer: t, y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3 - 1 - c**2 + 2*c**3 + 0 + 3 + 2*c. Let h = -1 - -10. Suppose 0*w + 3*q - h = 3*w, -4*w - 4*q = -20. What is k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8075 + 76.63736.\nAnswer: 74.82986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 57*s**3 + 0*s**2 - s - 1 - 30*s**3. Suppose -4 = -0*x + 4*x. Let b be c(x). Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4624 divided by 1?\nAnswer: -4624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 + g - 1. Let p be r(1). Let s(z) = 3*z**2 - z - 1. Let t be s(p). Calculate the remainder when 32 is divided by t\/4 - 2\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*c - 340. Let x = c + -42. What is the highest common divisor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide -2*7\/(-2)*(-290472)\/(-1372)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 74*i**3 - 2 + 2*i**2 - 3 - 75*i**3 + 7*i. What is p(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - a - 2*a)*(3 - 2 + 2) - 8*a - 42 + a + 5*a in the form l*a + c and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 18*p - 401272900 = -111*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a factor of 1382981821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/5)\/(c**21*c)*c\/c**(-19)*(c*c**12)\/c)**(-30) assuming c is positive.\nAnswer: c**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -552 + 581.1. Round x to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1911 and 567861.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -27*z**3 - 10265*z**2 - 1907*z - 2647. What is h(-380)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 - 708*t - 3158. Give x(-137).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 2. Let g(d) = 4*d + 7. Give -7*c(x) - 2*g(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a2416 - -5?\nAnswer: 1a241b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d52d6 (base 15) in base 3?\nAnswer: -2200220111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 280.\nAnswer: -3\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7774.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n + 6. Let h(v) = v + 1. Let q(i) = g(i) + 3*h(i). Let z(u) = 6*u + 4. What is -4*q(r) + 9*z(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 1, b: 1, a: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*t + w, -2*t + 5*w = -0*t - 23. Suppose t*c - 94 = 14. Calculate the greatest common divisor of c and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -314?\nAnswer: 30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5850 - 28726\/5. Let v be 11 - (10 - 936\/9). Let n = y - v. What is the smallest value in -5\/4, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let p(y) be the second derivative of 37*y**6\/360 - 3*y**3 + 16*y. Let u(w) be the second derivative of p(w). What is t(u(l))?\nAnswer: 37*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2665149 less than -2665153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 34*t = 594. What is the lowest common multiple of 18 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6 = y. List the prime factors of 13 + y + 5 - 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -614.5.\nAnswer: 613.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 8:41 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (61 - (27 - 19)) - -12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*f - 141*f = 84 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 39 = 2*j, -29 = -2*j - 5*r. Let c = 40 - j. What is the remainder when 36 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 30*j + 150. Let o be a(24). Solve o = -9*i + 11*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z + 2. Suppose -5*l + 734 - 209 = 0. Let m = -107 + l. What is k(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + 0. Let z(p) = 75*p. Let m be z(-1). Let l be 4\/m*(-20)\/(-8). What is the second biggest value in -0.1, a, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.784 + -218.3?\nAnswer: -202.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 - 2748*f + 2747 = 0. What is f?\nAnswer: 1, 2747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b - 1. Suppose 0 = 9*d - 70 + 25. What is u(d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2 + 1244273*k + 53505588 = 0.\nAnswer: -43, 1244316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 at least as big as -4\/2685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5073 (b) -5 (c) 4\/39 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27591 or -27605?\nAnswer: -27605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -53. Suppose -6*x - 42 = -z*x. Which is greater: 15 or x?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**7\/420 + j**5\/40 - j**3\/6 - 2*j**2. Let o(t) be the first derivative of a(t). Find the second derivative of o(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 11*l + 2. Suppose -q - 52 = -45. What is c(q)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3484 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-15) - -4 - (1 + 0)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 7 - p + 23 - 25.\nAnswer: -p - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1.89?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i**2 - 4*i**2)*(0 - 4 + 5 + (0 + 0 - 2)*(-2 + 0 + 7)) + (-5*i + i + i)*(-2 - 2*i + 2).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-2 + -7) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124894972, 249789941, 374684910, 499579879?\nAnswer: 624474848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -221, -306, -213, 106, 699, 1614, 2899?\n\"Answer: 8*z**3 + 41*z**2 - 264*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*h*r*y - 2*a*h - 6*a*r*y**2 - 3*a*r*y - 5*a*y**2 + 2*h*r - h*y**2 + h*y wrt y?\nAnswer: -12*a*r - 10*a - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 110.9903ml?\nAnswer: 0.1109903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 99. Let m = g - -114. Suppose 30 - 10 = 4*v. Solve v*u - 1 - 14 = m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/23 (b) -1 (c) -2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5, 3.8, -367?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1390167 and 107\/234.\nAnswer: 36144342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1105*z + 8835. Give b(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110386496915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qapp when four letters picked without replacement from {q: 2, l: 2, a: 2, p: 3, k: 1, g: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(1\/(-10)). Let d = m + 0. Solve d*s = s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3))**(-34))**(2\/23)*(y*y**(-1\/7)*y**(-8\/3))**(-22\/5) assuming y is positive.\nAnswer: y**(21608\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307591 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1485*h**5 - 48109*h**4 - 53662774*h**2.\nAnswer: 89100*h**2 - 1154616*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 64, 0.4, -3\/2, -3.3, 2\/11, -13?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -743040 divided by -720\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -163, -335, -507?\n\"Answer: -172*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Suppose i*g + 0*g = -2*c + 8, -4*g - 3*c = -13. Solve -3 - g = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*x)\/x**(-7\/3))\/(((x*x**6*x)\/x)\/(x*x\/(x*(x\/x**(-2\/23))\/x))) assuming x is positive.\nAnswer: x**(-1468\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 2, 0.065, -2\/7, -0.1, 5\/7, 2\/3?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 12. Suppose r*x - 14 = 2. Suppose -12 = 4*g + 5*p, g - x*p - 24 = -3*g. Solve 0 = 4*l - 5*s, 0 = g*l + s + s + 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*h + 4*n, 3*h - 3*n + 0*n = -15. Let a(l) = h*l - 3*l + l. Give a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193545257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**3 + u**2 + u - 2. What is j(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 30 = 3. Let u(c) = -8*c**2 - 21*c. Let k(m) = 3*m**2 + 7*m. Let z(b) = y*k(b) - 4*u(b). Let j(f) = -f. Let x(o) = 6*j(o) + z(o). Factor x(s).\nAnswer: -s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1910258 or -2?\nAnswer: -1910258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -139502*d - 139474. Give m(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*t = -8*t + 274, 166 = 3*y + 2*t. What is the smallest common multiple of 33 and y?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -219.\nAnswer: -20\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 + g + 4. Determine c(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*h - 9, 2*g - 1 = h - 4. Let q be 46*-3*h\/18. Suppose -151 = -4*w - q. Solve 5*z = w - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - 13*t**2 + 20*t**2 - 10*t**2.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68*((384\/(-280))\/(-8) + (-14)\/490).\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -24*r + 20*r - 9934, -3*u + 5*r - 29870 = 0. Round u to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/8*-2*(-20)\/4. Put k, -24, 0.4 in ascending order.\nAnswer: -24, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g - 6. Let z be h(-5). Let m be 1\/z + 7 + -4. Solve -j + 0 = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113377 and 4181831?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(12)\/(3*sqrt(6))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 + 6.65280343?\nAnswer: 8.05280343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (114\/(-14))\/((-411)\/1918)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (7 - (-4 + 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 552 = 12*t. Solve -t = -2*r - 65 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -69*d**5\/5 - 7*d**2\/2 + 7971*d - 6240. Differentiate i(z) wrt z.\nAnswer: -276*z**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 2. Let w(t) = -278*t**2. What is w(x(y))?\nAnswer: -1112*y**4 - 2224*y**2 - 1112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 13*y**2 + 17524*y - 26085*y + 8561*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21002200 + 1110002011?\nAnswer: 1011222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 210, 149, 78, 3, -70?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3068*l + 2995*l - 6008*l.\nAnswer: 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/28 and -3\/1617772.\nAnswer: 11324404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8100\/7 + 1157. Sort -0.5, l, 2.\nAnswer: -0.5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 96 = -s + 408, -2*r = -6. Suppose 0 = 9*u - 4*u - s. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 52954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than 0.026?\nAnswer: -13.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4822764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {z: 13, g: 3, j: 4}?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {f: 3, w: 1, t: 3, b: 5, m: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 29*r**3 - 140*r**2 + 291*r - 180. Let h(q) = -7*q**3 + 35*q**2 - 73*q + 45. Let g(s) = 2*b(s) + 9*h(s). Factor g(y).\nAnswer: -5*(y - 3)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16255179 = -16255182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -202*u + 28. Let i be v(-5). Suppose -4*g - i = 2*g. Round g to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/17)\/k*k**(-2))\/(k**(-3\/5)\/k**8) assuming k is positive.\nAnswer: k**(496\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = 5*o - 0*y, -o = -3*y - 15. Suppose -5*i - 2*s + 1500 = o, 3*s + 2*s = 3*i - 900. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 + 212. Suppose l + 3338 = h*k - l, 0 = -3*l - 9. List the prime factors of k.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1395*k = -880*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-22))\/(7\/(-2))*1120\/(-256)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 16*l. Let k(w) = w. Determine t(k(h)).\nAnswer: 2*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1120\/(-105))\/(175\/(-2310)*-22)\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9946, 19896, 29848, 39802, 49758, 59716, 69676?\nAnswer: 79638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 111. What are the prime factors of z?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -86*x**3 + 2*x**2 - 2*x - 4. Let p(s) = -2065*s**3 + 49*s**2 - 49*s - 98. Calculate -98*c(a) + 4*p(a).\nAnswer: 168*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/7*29\/(1827\/(-98)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167352 and 99548016.\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7098801, 14197628, 21296455, 28395282, 35494109, 42592936?\nAnswer: 49691763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yedtieydyffde. Give prob of picking 1 i, 1 t, and 2 y.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 4412\nAnswer: -5\/2206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 3*u**2 + 16. Let y(k) = -3*k**3 + 6*k**2 - 33. Let v(s) = -5*h(s) - 2*y(s). Determine v(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 14 - 19 + 7*f + 0 in the form s*f + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25507 + -11489. What are the prime factors of g?\nAnswer: 2, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231\/10 at least as big as 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 9*o**2 - 133*o - 233. Determine p(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -1.673189?\nAnswer: 1.773189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 22*p + 27. Let 0*r + 4\/7*r**2 + 2\/7*r**3 - 2\/7*r**p + 0 = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34647383 to the nearest integer?\nAnswer: 5886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*o + b + 19, 0 = -4*o - b - 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2. Let b(f) be the first derivative of 0*f**2 + 0*f**3 - 1 - 2*f + 1\/12*f**4. Let y(l) be the first derivative of b(l). Give c(y(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/13, 4, 3 in decreasing order.\nAnswer: 4, 3, 7\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -260, -375, -490, -605?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 5:24 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-3)*288\/256 + -5. Which is the fourth smallest value? (a) -1\/5 (b) v (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148404849.9999805 + 148404882. Let o = -32 + h. Round o to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/16 - (-26)\/8. Suppose 0 = -s*d - 0*d + 57. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 165bb59?\nAnswer: 165bb67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 0, -5, 382, -35, 2 in decreasing order.\nAnswer: 382, 2, 1, 0, -1, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 - 515. Let k(q) = 100*q + 31. What is the hundreds digit of k(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525991791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 10. Let s be z(0). Let k be s\/6 + 2\/(-3). Let y = -3.05 + 0.05. What is the nearest to k in y, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:03 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4834218 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-21)*(j*((j**(-3\/11)*j*j)\/j)\/j*j)\/j assuming j is positive.\nAnswer: j**(-223\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 227*v**2 - 127*v + 1505. Let n be o(114). Solve -9*y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 17823450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + 588. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.61 times 0.1?\nAnswer: -5.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 251.958 and -305?\nAnswer: -76847.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -530.6 + 531. Which is the nearest to -23? (a) q (b) -2 (c) 2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i**4\/4 + 7*i**3\/6 + 4*i**2 - 1939*i - 1. Let h(l) = -3*l**2 + 2*l + 3. Calculate 3*b(v) - 8*h(v).\nAnswer: -3*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13647373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -91, 1\/9, -0.11, -1\/2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**3 + 13488*a**2 + 5392*a.\nAnswer: 4*a*(a + 674)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33899 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 12) in base 14?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (832\/(-17472))\/((-45)\/42).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25715057.\nAnswer: 409, 62873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -279*s + 757. Let p be g(6). Let j = 80 + -588. Let l = j - p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1713, 4, -3 in increasing order.\nAnswer: -20, -3, 4, 1713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*b**3*g**3 + 3*b**3*g**2 - 4*b**3 - 2*b**2*g - b*g**3 + 2*b - 185*g**3 wrt b?\nAnswer: 390*g**3 + 18*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1452*k**2 - 212 + 5*k**4 + 1443*k**2 - 8*k + 212 to j + l*k**3 + c*k**4 + z*k**2 + o*k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 325. Let m(l) = -3*l - 327. Let z(f) = -5*c(f) + 4*m(f). Let d be z(-37). Solve -24*s + d*s = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + x = -2 + 156, -3*x = -2*d + 70. Let g = 40 - d. Solve g*b - q = 2*q - 11, b = 4*q - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/8)\/(4\/40). Calculate the least common multiple of (-4)\/3 - (-50)\/c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n + 6. Let x be v(9). Suppose x = -4*b + 195. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 619*n - 4964. Give k(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-8)*(-5 + 1). Let h = -2 + d. Suppose 8*j + 30 = 11*j - 5*k, -3*k = j + 4. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 347*m + 4855. Let o be n(-14). Sort o, -6, 5, -41.\nAnswer: -41, -6, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 106, 4\/9, 4, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/5)*f)**46)**18)**(-1\/46) assuming f is positive.\nAnswer: f**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = g - 10, 6*g - 4*z = 4*g + 7*g + 66 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76178?\nAnswer: 2, 41, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:11 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 4*z + 3. Let p(v) = 3*v**2 + 3*v - 2. What is 2*c(f) + 3*p(f)?\nAnswer: 5*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 9:02 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -1)*(-1)\/1. Let i be 2\/3*30\/(-4). What is the units digit of s\/(-2 - i)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owowooowwwowwwoowow. What is prob of picking 2 o?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.13 - 0.71. Round n to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12597)\/4940)\/((-3)\/(-4))\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*y**2 + 3*g + 5*m*y**2 + 4*m*y + 7*y**3 + 2*y**2 + 5*y wrt y.\nAnswer: 2*g + 10*m + 42*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 - 89. Let m = 331 - x. Suppose 0 = -5*j + 475 - m. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -221240402?\nAnswer: 221240344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 2, r: 4, i: 4}. Give prob of sequence aii.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 8. Calculate the smallest common multiple of (2\/6)\/(x\/(-288)) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, d: 9}. What is prob of sequence kk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 + 2 + 0. Suppose 6*s = 16 - g. Solve s*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 32330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2664 + -3.2664. What is the smallest value in -1\/57, -8, o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608683.\nAnswer: 71, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, 53, -4, 5 in decreasing order.\nAnswer: 53, 5, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 0, -5*q - 64 = -2*b - q. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -360357, -360342, -360319, -360288, -360249, -360202?\n\"Answer: 4*r**2 + 3*r - 360364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:02 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 519*r + 7 - 7 + 43*r)*(-2*r + 0*r + 3*r) to q*r + l*r**2 + g and give l.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(-5*l + 5*l + l**2) + 34*l**2 + 74*l**2 + 37*l**2 + (-3*l - 2*l + 3*l)*(l + 1 - 1) as y*l**2 + b*l + p and give y.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 10 + 25. Put y, -10, -1 in decreasing order.\nAnswer: -1, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 39\/12 - 114\/(-8). Let t(z) = 3*z + 2. Let c be t(2). Let y = c - -7. Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 1290.\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 4*x**2 + 21*x - 10*x**2 - 25*x.\nAnswer: 5*x**3 - 14*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -242566100 to the nearest one hundred thousand.\nAnswer: -242600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(40)\/sqrt(5) + 4 - (4 + (sqrt(8)\/sqrt(64))**2)).\nAnswer: -50*sqrt(2) + 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -131*n - 64*n + 39*n - 16 - 143*n + 47*n. Does 16 divide v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -148389, 45 in decreasing order.\nAnswer: 45, 11, -148389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7272, -14669, -22064, -29457, -36848, -44237, -51624?\nAnswer: -59009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 89*p. Let r be 0\/(-2) - (2 - 3). Is o(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((0 - 4) + (1 - 0) + 10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 41 = -r. Let o = r + -25. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j. Let z(o) = -o**2 + 6*o. Calculate k(z(g)).\nAnswer: 8*g**2 - 48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 30 (c) -0.4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-36))\/((-2)\/(-12)). Let g(y) = h - 5*y**2 + 3*y + 0 - 5*y. Calculate g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3629*x - 76196. Determine f(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 - 17 + 0 + 16)*(-p - 2*p**3 + p) to n*p**3 + m*p**2 + j*p + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1559, -1561, -1563, -1565?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/3 + 13*v**3\/3 + 16*v**2 = 0. What is v?\nAnswer: -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d - -4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 233208 and 3258.\nAnswer: 42210648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -10, -8 in ascending order.\nAnswer: -10, -8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 9*o + 11. Calculate the remainder when k(9) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y + 39 - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7202.2 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2569757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:17 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60797285 to the power of 1\/2, to the nearest integer?\nAnswer: 7797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 3. Let r be ((-14)\/(-4))\/(g\/2). Let h(c) = -2*c**2 + 8*c + 12. Let d be h(5). Solve -d*j + 1 = r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + (7 - 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -773.33 times -0.1?\nAnswer: 77.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912379593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 67, 52, 19?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from duul.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 342?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6818 - 6816. Let p = -0.05 + 5.05. What is the third smallest value in m, -2, -0.2, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643178961 divided by -509247?\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -537.21539114 and 0.9?\nAnswer: 538.11539114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184405545 a multiple of 969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 0 + 0. Let z(h) be the second derivative of 5*h**3\/6 - 2*h. Calculate z(p(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000145531 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170840759 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467011 to the power of 1\/2, to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*v**2 + 183*v**2 - 916*v**2.\nAnswer: -796*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102 >= 4102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -63549*h + 8. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 29 = 5*v - 3*m, -14 = -3*v - m. Let r(a) = a**2 - 4*a - 7. Let x be r(v). Let h be 4*54\/(-16)*x. Calculate the highest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*z + 30. What are the prime factors of -6*(30\/25)\/(z\/10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let d(y) = -10*y + 8. Let j(v) = -d(v) + 6*l(v). Let x be j(4). Factor 19*u + 12 - 7*u**x - 2*u**3 - 5*u**2 + 10*u**3 - 27*u.\nAnswer: 4*(u - 1)*(u + 1)*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + y - 4, y = -3*f - 2*f + 40. Solve 0 = 66*d - 75*d - f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81.6 * -2\nAnswer: -163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -709*u**4 + 2*u**2 - 1144?\nAnswer: -17016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3088 divided by -33\nAnswer: -3088\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2821067 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1048141 and 2201.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -381 + 567. What is the remainder when w is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307\/4 - 77. Let n = 6131\/387 - 143\/9. Let m = 39\/86 - n. Which is the smallest value? (a) v (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 597\/2 - 306. What is the second biggest value in 4, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1591 - 1569 + 3160 - 9121*r in the form b*r + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**3 + 365 - 1709 - 1135.\nAnswer: -32*w**3 - 2479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 11. Let u be 4\/14 - (-130)\/(-14). Let h(z) = 9*z + 43. Let d(f) = -5*f - 23. Let p(m) = -11*d(m) - 6*h(m). Calculate u*p(v) + 4*j(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*m - 12, -m - 6*a + 18 = -2*a. Solve -2*r - r = -m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - -2)\/((-2438)\/(-86549)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/92)\/((-87493)\/(-124990)*(-30)\/56)?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from joovvpvjpsvg.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180691602.\nAnswer: 2, 3, 7, 13, 199, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -13*t + 40. Let f(u) = u**3 - 7*u**2 + 3*u + 5. Give f(t).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:26 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4923 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5604*w**4 - 815*w**2 + 746*w**2 + 1266*w**2 + 1588*w**2 wrt w.\nAnswer: -134496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -64. Suppose 12 = d + 2*d. Suppose d*a + a - p = 0. Solve 12 = a*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 9*g**2 + 2*g. Let a be v(-9). Is 17 - 1 - a\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5\/7 + 3*t**4 - 18*t**3\/7 - 66*t**2\/7 + 3*t + 45\/7 = 0. What is t?\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4788, 5923, 7058, 8193, 9328, 10463?\nAnswer: 11598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Suppose 5*r - 29 = 2*r + 2*p, -4*r + p + 37 = 0. Let z be (-1 - -4)*9\/r. Solve s*l = 1 - z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -13*(29 - (8 - 6)). Let b = g + -340. Calculate the greatest common factor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -585*q - 241. Is r(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 20772?\nAnswer: 83088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 13*m - 1. Let d be h(-4). Suppose -d*g + 46 = -20. Let n(v) = 16*v - 14. What is the units digit of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 11\/2*h**3 + 0 + 3*h**2 + 7*h + 23\/4*h**4 + 69\/20*h**5 + 11\/10*h**6 + 1\/7*h**7. Factor k(v).\nAnswer: 3*(v + 1)**3*(v + 2)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 58*a + 1738. Give v(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 4 + (-3 - 9 + 0)*(2 - 4 + 1) - 49 - 33 + 192)*(-1 - 2*z + 1) in the form u*z + m and give u.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11991 is divided by 461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -3)*(-3)\/6. Let g(t) = -t + 1. Let f be (-4)\/10 - (-12)\/(-20). Let x(h) = 5*h. Let d(c) = -c. Let m(y) = f*x(y) - d(y). What is q*g(v) + m(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 2*z - 1. Let s be o(-1). Let p be 0*2*(-1)\/4. Suppose 3*w - s*w = p. Solve w = 2*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1250750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 5 (c) 0.1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1689997864 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1728 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2504586.54 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 88854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/7 - 7357992*b\/7 + 3383752892004\/7.\nAnswer: 4*(b - 919749)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 49*v**2 - 18*v + 186. Calculate z(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 7:26 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 933, 1881, 2839, 3813, 4809, 5833, 6891?\n\"Answer: u**3 - u**2 + 944*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - g + 6, -5*m + 3*g = -m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sisv when four letters picked without replacement from {i: 1, s: 3, v: 7, w: 6}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in months?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1756 (base 13) to base 6.\nAnswer: -23551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18556 and 40?\nAnswer: 185560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-1 + 5 + -3). Suppose 5044 = -a*s - 2*p - 1078, 3067 = -s - 4*p. Let y = 4689 + s. Round y to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.06, -2\/3, 92 in descending order.\nAnswer: 92, 4\/5, 0.06, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*i + 14 = 0, -4*o + 4*i + 0*i = -20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*g - 2*k - 39687, -2*k - 99195 = 5*g. Let a = g + 34608. Let s = a + -7484. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 184469?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167270 is divided by 23812.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 365 + 184 + 180. Let d be -1 - (-1 - (1 - 2)). What is c(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049680432 to three dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7640280 and 9677688.\nAnswer: 145165320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 13. Let q = -4 - a. Let j = -4 - 1. What is the second biggest value in 1, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-240)\/(-72))\/((-2)\/4023) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - 17*d - 17*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*o - 25 = -102, 2*v - 2*o = 30. Let i = 107 + 85. Suppose -5*l = 7*l - i. What is the greatest common factor of v and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(4 - 1 - 5) - 3 + 2 + 2 + (-1 + 1 + 1)*(2 - 2 - 8) - 4 + 0 + 0)*(41 - 11 + 10)*(-c**3 + 0*c**3 - c**3).\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2\/11*d**3 + 222\/11*d**2 - 6272\/11 + 6048\/11*d = 0.\nAnswer: -56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -115*d + 61. Let a be (-22)\/10 - ((-27)\/(-15) + -1). Let y be n(a). What is the highest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 408 - 1) + -2. Let g be 2\/(-7) + 4006\/7. Let f = g - y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66574, 65534, 64494, 63454, 62414?\n\"Answer: -1040*p + 67614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4 - -3.4. Suppose t = 2*t + 2. What is the smallest value in b, 2\/13, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2. Let z(f) = -183*f**2 - f + 41453. Calculate z(b(x)).\nAnswer: -183*x**4 + x**2 + 41453","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 5\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 272*c - 7033. Determine l(26).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(2448) + -3)**2 - (sqrt(2448) + 5)**2*-5) + 4)*3 + 0.\nAnswer: 2880*sqrt(17) + 220734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 3) in base 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 3. Let j be l(-3). Suppose -2*i + 0*i = j. Suppose 2*n - 48 = -i*n. Calculate the highest common factor of 96 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00997 and -340614.\nAnswer: -340614.00997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*z + 256 - 311*z - 20*z**3 + 37*z**3 - 18*z**3 + 68*z**2.\nAnswer: -(z - 64)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -440?\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/20 + 2*x**4\/3 + x**3\/2 + 3*x**2\/2 - 2*x. Let o be b(8). Suppose 2*f + o = 5*f. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639\/7 at most 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1105 + 5629 + 13260 = -684*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1051797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*i + 95*i - 2 - 181*i + 2.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2222 + 4*w**2 - 2222.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342233 is divided by 413?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -727551?\nAnswer: -727551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7164 is divided by 6418.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4501.342044723 and -1.9?\nAnswer: 4499.442044723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7694 is divided by 386.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a0 - -1746?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63824408*b**3 + 973433*b**2 - 24?\nAnswer: 382946448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 16. Is 11 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**3 - 3*u**2 - 15*u - 2. Let x(r) = -28*r**3 + 9*r**2 + 46*r + 8. Let g(m) = 7*d(m) + 2*x(m). What is the second derivative of g(t) wrt t?\nAnswer: 42*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904233607?\nAnswer: 904233607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -192147043029\nAnswer: -192147043021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:45 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*y - 99, 3*q + 2058*y - 151 = 2063*y. Calculate the remainder when 3685 is divided by q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(-8)\/h)\/h))**(-2\/73) assuming h is positive.\nAnswer: h**(-20\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28839, -115343, -259511, -461343, -720839?\nAnswer: -1037999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 1000011101001?\nAnswer: -1000011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -28. Is (-11 - -9)\/(i\/54) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 12*b - 15. Let i(s) = s**2 + 12*s + 15. Let p(m) = -2*i(m) - 3*w(m). Let u be p(-11). Solve d - 2*j = u*d + 7, -5*d - j = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6880 and 2504320.\nAnswer: 2504320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 20 = 13*j. Suppose 115 = -25*w + 165. Solve -2 = w*u + j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonoooooononooo. What is prob of sequence on?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 64*i. Let b(n) = -315*n + 5. Give l(b(m)).\nAnswer: -20160*m + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/12 and 11\/243.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -762.1 + 750. Let n = u - -11.1. Which is the nearest to -44? (a) n (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1700) - (sqrt(1700) + (1 + sqrt(1700))*-1)))**2.\nAnswer: 80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/4366, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/40 - 1852\/(-5). Let n be (30\/7)\/(36*34\/5712). Calculate the highest common divisor of f and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-30) + 87\/9. Solve -h*y - 47 = -11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, y: 2}. What is prob of sequence ylly?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9073963g to nanograms.\nAnswer: 907396300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -833254320 by -40.\nAnswer: 20831358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14649 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 27*w = 2704. Is ((-3)\/(-5) + w\/(-65))*-12929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9329*-4.\nAnswer: -37316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 168 = -104. Let j(r) = -3 + 0 + c*r**2 + 2*r**3 - 4*r**2 - 10*r**2. Let f(i) = -2*i**3 - 3*i**2 + 3. Give -2*f(p) - 3*j(p).\nAnswer: -2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 239343 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3612934817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 2 - 7 + 0. Let q(a) = -a**3 - 8*a**2 + 10*a + 3. Let g be q(-9). What is j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010100110001 + 111000101?\nAnswer: -111001101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19518 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + -1 + -5*(sqrt(3) + (sqrt(3) - (-2*sqrt(3))**2) + -3 - sqrt(3))*5 + 0)*5.\nAnswer: -125*sqrt(3) + 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**3 + 0*m**4 - 43*m + 0 + 7\/3*m**6 + 0*m**5 - 7*m**2. What is the first derivative of k(r) wrt r?\nAnswer: 280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 + -113 - -35) + 62 - 107\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 531592389 divided by -81?\nAnswer: -6562869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:29 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggk when three letters picked without replacement from {g: 2, k: 3, s: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 125 = o. Suppose -o = -5*y, 2*g + g - 2*y = -25. Let c be ((-6)\/8)\/(1\/4). Sort 1, g, c in decreasing order.\nAnswer: 1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 9) + 8 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*b - b. Let o be 2\/(b + 5\/(-2)). Find the second derivative of 2*a - a**5 + 4*a**5 - o*a**5 wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 5*s**2 + 20*s. Let d(h) = -2*h**3 - 6*h**2 - 21*h. Let l(i) = -5*d(i) - 6*q(i). Find the second derivative of l(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196078 divided by 2?\nAnswer: 98039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17565300 by 522.\nAnswer: -33650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 18. Let p = -6.3 + u. Suppose -33*l - 25 = -28*l. Sort -4, l, p in ascending order.\nAnswer: l, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/20 - 207*p**2. Let j(h) = -4*h + 8*h - 6*h. Determine m(j(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/8 - 4*l**3 + 51*l**2\/4 + 126*l + 33. Let c(i) be the first derivative of z(i). Factor c(d).\nAnswer: -3*(d - 1)*(d + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 38*x - 36*x - 4 = 0, 12 = 3*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 + 3133*l**4\/2 + 12250*l**3 + 16611*l**2\/2 = 0. Calculate l.\nAnswer: -7, -3\/4, 0, 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + (((sqrt(7) - 1*sqrt(7))*-5)**2 - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 13*a**2 + 14*a + 7. Let r be n(-14). Let u = 18 + r. Is (u\/10)\/((-1)\/(-508)*2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 132. Let n(z) be the first derivative of z**3\/3 + 5*z**2 - 8*z + 138. Determine n(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a + 8 + 49 + 51 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, 2, -5, 1 in ascending order.\nAnswer: -310, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -10 + -4 + 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(91)\/sqrt(7) + -1)**2*-4 + (6*(-3 + (sqrt(13) - sqrt(13)*4)) + 5)**2.\nAnswer: 476*sqrt(13) + 4325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z**2 + 740*z + 7947. What is p(-10)?\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30261 and 693.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaea when four letters picked without replacement from aeappxeeeaaaapaah.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -373, -377, -383, -391, -401, -413?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 7 = 3*h + 2, 5*n - 40 = 5*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 28672?\nAnswer: 258048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2 + 11*r - 6*r - r**3 - 14*r**3 + 4 + 5*r**2 + 16*r**3. Determine m(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 220\/76 - 10\/(-95). Suppose 0 = -i*h - 3*h + 6. Put h, -2, 1\/3 in descending order.\nAnswer: h, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61538683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7794719.\nAnswer: 331, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 - 4 + 4)*(0 + 7 + 0)*(4 + 1 - 4) - 4*b**4 + 0*b**4 + 2*b**4.\nAnswer: 26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6 - -0.122259?\nAnswer: -10.477741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 g, and 1 p when four letters picked without replacement from {p: 1, y: 4, g: 3, w: 2, k: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, r: 2, u: 3, s: 9}. Give prob of sequence fru.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6244*k + 134286 - 433998 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -31. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64229*b**2 + 317491*b**2 - 43951*b**2.\nAnswer: 337769*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/23 + 336*u**3\/23 - 1376*u**2\/23.\nAnswer: 2*u**2*(u - 4)*(u + 172)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.857893 litres?\nAnswer: 857.893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -6 + 18. Let a(w) = 13*w**2 - w + 4. Let f be a(3). Suppose 0 = -2*k - n*q + 61, 0*k - 5*k = -4*q - f. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4313874 to the nearest integer?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 12*m - 9*k - 5 = 12, 3*m + 85*k + 79 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1386376581*w*y + 3*w - 24138517 wrt y?\nAnswer: -1386376581*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -269, -458, -647, -836, -1025, -1214?\n\"Answer: -189*t - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 199153*x**2 - x**4 - 199158*x**2 - 41*x**3 in the form w + n*x**3 + v*x + m*x**4 + k*x**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 579 (base 14) to base 3\nAnswer: 1111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6. Put 0, -25, a, -2 in decreasing order.\nAnswer: a, 0, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*z**3 + 319*z**3 - 783*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Solve -5*k = -0 - p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 412 = -3*y, 5*y - 686 = -0*d - d. Suppose y = 5*u - 2*g, u - 2*u = -4*g - 13. Suppose 317 = 4*a + 4*s + u, 4*s = 8. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0614 + 103124441?\nAnswer: 103124441.0614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18286?\nAnswer: 2, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**5\/15 + 7*g**4\/6 - 12*g**3 - 143*g**2\/2 + 264. Let x(i) be the second derivative of y(i). Factor x(w).\nAnswer: 4*(w - 2)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 138 - 60 + u**2 - 7*u + 3*u**3 + 6*u - 79 - 2*u**3. Let z(x) = -5*x**3 - 3*x**2 + 4*x + 3. Let m = 7 - 5. Let s = 1 - m. Give s*z(w) - 4*v(w).\nAnswer: w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 2 + 8*q**3 - 1 + 1 + q in the form i*q**3 + r + l*q + w*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**4 + 2693*l**3 - 203805*l**2 - 497286*l - 157680 = 0. Calculate l.\nAnswer: -2, -3\/8, 120, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65784463?\nAnswer: 383, 171761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.9 - 17.9. Sort u, 4, 1\/4.\nAnswer: u, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t**2 + 21. Let r(z) = -3*z**2 - 4. Let f(p) = -4*l(p) - 21*r(p). Let a be 12\/7 + (-6)\/(-21). Let k(o) = 3*o - 3*o - a*o. What is k(f(y))?\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**5 - 11382*q**4 - 3171*q**2 - 4*q?\nAnswer: 180*q**2 - 273168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times -11.02?\nAnswer: 14.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3401, 13596, 30587, 54374, 84957?\n\"Answer: 3398*u**2 + u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -119*y + 123*y. Suppose -6*t - 255 = -y*t. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*p - 50*p - 52. Suppose 0 = 2*r + 3 - 11. Let j(d) = 5*d - 2*d**2 - 3*d - 5 + 3 + r*d. Determine j(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdedjjdjeedddddde. What is prob of sequence ej?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 3*r**2 - 4*r - 1. Let z(o) = o**3 - 2*o**2 + o + 4. Let l be z(2). What are the prime factors of c(l)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 702*y**3 + 2*y**4 - 481*y**3 - 223*y**3 + 89*y in the form d*y**4 + z*y**2 + n*y**3 + a + w*y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2518?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {h: 4, d: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.941 + 9.659. Sort 2\/17, m, 2\/15 in descending order.\nAnswer: m, 2\/15, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2*d + d)*(0*d**2 + 4*d**2 - 6*d**2) + (4 - 4 + 2*d**2)*(2*d - 2*d + 5*d) as g*d + w*d**3 + a + r*d**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -3*b - 2*m - 12, 17115*b + 6*m + 66 = 17112*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 151166280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 - -467. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33651 is divided by 8317.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(468) + -1*sqrt(468) + 5 - (-1 + sqrt(468) + 1 - sqrt(468)))**2*2*-1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1591 = 21*w - 8731. List the prime factors of w.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523915746.\nAnswer: 2, 3, 67, 503, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let a be k(2). Suppose p + 4 = a*p. Find the third derivative of -v**4 + v**2 + 2*v**p - 3*v**4 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 260 = 21*s. Let l = s + 52. Suppose 421 = 5*h - l*k + 2*k, 0 = 3*h - 4*k - 263. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 113002374 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -8. Suppose -92 = -0*p - o*p. Solve -5*n - 4*y - p - 9 = 0, -3*n - 27 = 5*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80827998887\/1428 + 56602244. Let l = p - -4\/119. Find the common denominator of l and -63\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + a + 8, 21 = -4*t + 5*a - 10*a. Let j be 3*t\/(3\/(-7)). Let h(p) = -278*p - 3 + 14 + 279*p. What is h(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 2) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 47 - 13. Suppose p + 4 = j. Solve 2*h - 3 = -3*g + 4, -h + 5*g = j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1208*w**3 - 958*w**3 + 1167*w**3 + (-2*w**2 + 0 + 0)*(w - w + 2*w) - w**3 + 4 - 4.\nAnswer: 1412*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 75 + 19*b + (-6 + 6 + 10)*(3*b + 0*b - 5*b + 10*b - 21*b - 8*b + 6*b + 0*b - 4*b + (-2*b - 2*b + 5*b)*(1 - 1 + 1)) in the form n + f*b and give f.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.343 + -79405618.86.\nAnswer: -79405616.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 190 = 70. What is the highest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35\/(-2) - 2)*(-5452)\/(-141). Let d = n + 770. Calculate the remainder when 55 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.9 + 27. Let d = 24 + -40. Let y = d + 18. Put w, -1, y in descending order.\nAnswer: y, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, r: 6}. Give prob of picking 2 r.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(2\/(-4) - (-5)\/12). Let u(m) be the second derivative of 0*m**3 - n*m**4 - m + 0 + 0*m**2. Factor u(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 + -71. Let g = -7890 + 7885. Which is the closest to x? (a) g (b) 0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -153*t**4\/7 + 186*t**3\/7 + 108*t**2\/7 - 186*t\/7 + 45\/7 = 0. What is t?\nAnswer: -1, 1\/3, 15\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15486983 and -137245?\nAnswer: 15349738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.946 + -59. Let g = 0.04635323 + 0.00764698. Let t = g + v. Round t to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 4:56 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14724313 rounded to 3 decimal places?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4382571*k**3 - 4*k**2 + k + 102386610 wrt k.\nAnswer: -13147713*k**2 - 8*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at least as big as -0.208913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15\/r)\/(r\/(r**14*r*r)*r) assuming r is positive.\nAnswer: r**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/8*6\/4. Let f = 137 + -138. Which is the closest to f? (a) -5 (b) -3\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n\/(((n**(-1\/6)\/n)\/n)\/n))\/(n**(-1\/4))**(-23)*(n**(3\/8)*n\/n**(3\/5))\/((n**(-2\/3)*n)\/n)**(-44) assuming n is positive.\nAnswer: n**(-3497\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1109591 times -28\nAnswer: -31068548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 - (7 - 6) - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2589\/766871 - -1\/1543. Let u = r - -20\/71. What is the closest to 69\/2 in -0.1, 2\/11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 11*c + 9. Let v(k) = k. Let u(j) = t(j) - 5*v(j). Determine w so that u(w) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 2*d**2 + 5*d + 3. Let m be z(-3). Let h = m - 23. Let s be (-3)\/((-3)\/h)*1. Solve -5*j - 15 = s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -4 - -24 - -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -3*n - n. Suppose -x - n - 32 = 0. Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/((-7434)\/(-23128)).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w\/w**(-1\/5)*w)\/((w*w**(-2\/15))\/(w*(w\/(w**2\/w)*w)\/w)))**(2\/17) assuming w is positive.\nAnswer: w**(-4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -107103779*k**2 - 101313*k - 82. Let c(y) = 35701260*y**2 + 33770*y + 28. Let z(n) = -58*c(n) - 20*o(n). Let z(h) = 0. What is h?\nAnswer: -2\/4225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = -s, 5*x = 3*s + 282672. Is x\/(-24)*(-4)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1360 + 1356. Which is the nearest to w? (a) -4 (b) 0.08 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2113330222 (base 5) to base 12.\nAnswer: -1599603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160\/24 + 4\/(-6) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 224?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(175)*-4).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**4 + 25*g**3 - 145*g**2 + 117*g - 2. Let r(k) = 6*k**4 - 151*k**3 + 871*k**2 - 700*k + 13. Let m(n) = 6*r(n) + 39*w(n). Let m(q) = 0. Calculate q.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 511 and 584?\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 33 + 3. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340*u = 1326*u + 337008. What are the prime factors of u?\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 4. Calculate y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -74. Solve -c - 2*c - 3 = p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 4)\/(-2)*2. Let n be -3 - (-8 + 1) - 55\/b. Let v = n + -27. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*s - 17*s - 31*s = 30. Determine r so that 3\/4*r**5 + 4\/3*r + 2\/3*r**2 + 0 - 23\/12*r**s - 1\/2*r**4 = 0.\nAnswer: -1, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.18 and -1540.\nAnswer: -1539.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m + 0 + 1 - 1 + m + (1 - 1 + 1)*(m + 2*m - m) - m + m - m + 2*m + m - 2*m + 1 - 1 + m - 3*m + m + 5*m)*(-26*m**2 + 13*m**2 + 26*m**2).\nAnswer: 117*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 29*c + 171. Let s be r(-5). Solve 4*i = -3*x - s, -10*x - 5*i = -6*x + 33 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -380, -437 in increasing order.\nAnswer: -437, -380, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:26 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2201 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(7)*-2)\/(sqrt(256) - sqrt(256)*-4)*-1)**2.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*c - 30 = -352*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 885, 1673, 2457, 3237, 4013?\n\"Answer: -2*l**2 + 794*l + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -2. Let o = 0.11 + 0.89. Which is the second biggest value? (a) h (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 88?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*x**3 - 21 + 2 - 569*x**3.\nAnswer: 3*x**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -305678?\nAnswer: -305678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 1. Let z = -4 - -5. Let u be q(z). Calculate the greatest common divisor of u and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 158, -34, -554, -1564, -3226, -5702, -9154, -13744?\n\"Answer: -27*c**3 - 2*c**2 + 3*c + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37083509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -86, -92, -98, -104?\n\"Answer: -6*z - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, s: 4, o: 1}. Give prob of sequence loss.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 66133 - 9143 = 0. Let d = -2946 + l. Is 103 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 67 (b) -2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 113 - -7d?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10337?\nAnswer: 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 29*b - 119. Give g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 19*w + 11. Let i be a(-9). Suppose -c - 2*p = c - i, 0 = -2*c - 3*p - 2. Solve -4*y - c*q - 11 = -0, -2*q = y + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysdisddd. What is prob of picking 1 y and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26692491.\nAnswer: 3, 7, 887, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149.2 - -149.19998253. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(-1286 + 252*v + 1286).\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4437.493 litres in millilitres?\nAnswer: 4437493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mymyymmyymyyyydmy. Give prob of picking 2 d and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 51*t**2 - 2*t - 3. Let l be s(-1). Let o = l + -249\/5. Let q = 1.6 + 7.4. Sort -2\/9, q, o in ascending order.\nAnswer: -2\/9, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 8. Let t(z) = -8*z - 17. Let m be (-1)\/1 + 7 + -3 - 9. Let b(l) = m*t(l) + 15*q(l). Let f be b(8). Solve 0 = -3*n - 0*n - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -5*j**4\/24 + 2*j**2 - 11*j. Let f(v) = 3*v**2 - 13*v**2 + v**2. What is f(s(i))?\nAnswer: -225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3960.7*95\nAnswer: -376266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -792\/4979 + 2\/383. Put 4, -20, m in ascending order.\nAnswer: -20, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5295 - 79396\/15. Let l = 12\/65 - 859\/780. What is the common denominator of a and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2242 + -5?\nAnswer: -2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 14*o = 11*o + 11, 3*s - o - 33 = 0. Suppose -s*i - 3*f + 4192 = -6*i, i + 2*f = 844. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 - 3. Let n = r - 0.15. Suppose -x + 2*x - 3 = 0. Which is the second smallest value? (a) 0.1 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 28. Which is smaller: w or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**3 + 1372*l**2 + 93849*l - 4. Let c(r) = 56*r**3 + 8233*r**2 + 563096*r - 26. Let u(k) = 2*c(k) - 13*q(k). Factor u(o).\nAnswer: -5*o*(o + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b51 - -40?\nAnswer: b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 7*h)*(29 + 53 + 27).\nAnswer: 436*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - 1 - (0 - 0). Put 2, -4, s in descending order.\nAnswer: s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1422078249 to the nearest integer?\nAnswer: 37710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (41196\/(-73))\/12 + 444\/16206\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -4\/7, -5, 3926.9, -1, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**1*f*f*f**(1\/3)*(f**(1\/2)\/f)\/f**(-2\/11)*(((f*f**(-1)*f)\/f)\/f*(f\/f**0)\/f)**(40\/3) assuming f is positive.\nAnswer: f**(-205\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 33*m**4\/4 + 4*m + 54. What is the derivative of q(y) wrt y?\nAnswer: 99*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2196 divided by 16.\nAnswer: 549\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 5.65868 (c) -85\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l + 5. Let i(z) = -z + 3. Let o be i(9). What is the lowest common multiple of q(o) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*c - 139*c - 9585 = 8594 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1211204*g**5*h + 2*g**4*h + 57*g**2*h - 3*g**2 - 4*g + 1180 wrt g?\nAnswer: 72672240*g**2*h + 48*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -k + 1, -40591*f = -5*k - 40595*f + 23 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-12\/7))**(2\/15))**42 assuming g is positive.\nAnswer: g**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/66 + -3\/11. Which is the closest to -2\/3? (a) -5 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10210 - 12022333?\nAnswer: -12033203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*n = -3, -2*u + 2 = -0*u - 2*n. Suppose 3*t - 11 = -o, -3*t = u*o - 9 - 8. Does 16 divide o + (82 - -4) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 22 = -k, -4*i = -9*i + 3*k + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {j: 4, g: 5, e: 1, y: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*f = -3*f - 11, 4*c + 430 = -2*f + 236 + 216 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -44. Let o(d) = -d**2 - 3*d. Let b(a) = 1 + 0*a**2 - 3*a - 5*a**2 + 3*a**2. Let h(t) = 2*b(t) - 3*o(t). Give h(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1\/13)*t)\/t))\/t*t)**(-1\/81)*(t*t**(-2\/39))**(-28) assuming t is positive.\nAnswer: t**(-27973\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -2*o - 12 - 1\/10*o**5 + 1\/6*o**3 + 3\/4*o**4 + 9\/2*o**2. What is the second derivative of k(d) wrt d?\nAnswer: -12*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, k: 3}. Give prob of sequence pkkk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -602, -599, -596, -593?\n\"Answer: 3*p - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s. Let r(c) = 1 + 2 - c - 3. Let d(u) = -j(u) - 4*r(u). Let q(k) = -3*k. Calculate d(q(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/((-45)\/6 - -7 - 0). Let f(k) be the first derivative of -16 - l*k**3 + 5\/4*k**4 + 0*k**2 + 0*k. What is the third derivative of f(i) wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 2*v - 1.\nAnswer: -(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqg when three letters picked without replacement from {l: 2, a: 1, h: 1, q: 4, g: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1719, -6863, -15427, -27411, -42815?\n\"Answer: -1710*q**2 - 14*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - 32c?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 307430 and 92229?\nAnswer: 922290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from {k: 2, z: 6, u: 4, b: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 3*f**2 + 10*f + 24*f.\nAnswer: -2*f**2 + 34*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*x = -k + 332, 3*k + x = 328. Suppose -7*f + 3*f + 84 = 2*t, -5*f - 4*t + k = 0. 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: Let j(g) = -9*g**3 - 9*g**2 - 7*g - 5. Let z(a) = 5*a**3 + 4*a**2 + 3*a + 2. Determine 2*j(o) + 5*z(o).\nAnswer: 7*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 610353 and 967089?\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2771 - -3?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 14*j - 8. What is r(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 0.3, -0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 368 = -30*l + 27*l, 3*l - 370 = -j. Calculate the highest common factor of 4154 and l.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j)\/((j*j*j**(-1)*j)\/j)*j**(-1\/2)*j*j\/j**(-1\/2)*j**(-7)*j**(-1)*(j*j*j*j*j**(1\/4)*j*j)**31 assuming j is positive.\nAnswer: j**(747\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 651 and -612.4.\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x**2 + 2. Suppose 200 = 21*h + 53. Let w(z) = -1 + 1 + 15*z**2 - 2. Let u(y) = h*w(y) + 6*v(y). What is the derivative of u(t) wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1490 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 112*f - 2 + 216*f - 107*f.\nAnswer: -3*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {z: 1, d: 1, c: 1, h: 1, x: 2, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.138+0.0288781\nAnswer: -0.1091219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497 = 3*q - 139. Let b be -5*(-15)\/75*1*53. What is the highest common divisor of q and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(16\/5)*k\/(k\/(k**(2\/11)\/k)*k))\/(k*(k*k**6)\/k*k*k*k\/(k\/k**(3\/10)*k)) assuming k is positive.\nAnswer: k**(-761\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 393553530 divided by 78710706\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*z - 1208, -3*z + z + 726 = -3*u. Let n = u + 346. Suppose -n = -2*a + 12. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a, 3*h + 0*h = -3*a - 30. What is the remainder when 225 is divided by h - ((-88)\/2 + 7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/63*(-371)\/(-53)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.67 and 0.29.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 7. Let x(r) = 5*r**2 + 12*r - 37. What are the prime factors of x(j)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c = -67111 + 348769. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27708900 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13508*g = -17253*g - 314580 for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - b. Let q(a) = 15*a - 2. Suppose -99*h = -103*h + i + 3, -h = -5*i + 4. Give h*q(r) - 2*n(r).\nAnswer: 2*r**2 + 17*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {l: 1, o: 2, a: 2, d: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 46359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/6))**(1\/16)*(i**(-22\/7)*i*i)\/(i*((i**(-24)\/i)\/i)\/i*i*i) assuming i is positive.\nAnswer: i**(15395\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -82*o**2 - 12*o. Let p(i) = 41*i**2 + 6*i. Calculate -6*f(v) - 13*p(v).\nAnswer: -41*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -356330 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = x. Solve -x*d + l + 2*l = -14, -2*l = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2 + 1. Let z(r) = r**3 - 6*r**2 - 14*r - 6. Let o(y) = 6*a(y) + z(y). What is the second derivative of o(b) wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63476.\nAnswer: 2, 7, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1211001010?\nAnswer: -1211001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-6 + 16)) + 13 - (0 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4235 + -1?\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335910917 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -0.2, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + 0.29. Let t be 1\/(-4) - 0\/12. Which is the closest to t? (a) h (b) 0.03 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1712 and 10807?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 166\/7 - 2\/(-7). Let w be -1 + (-5)\/(10\/(-26)). What is the greatest common divisor of w and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110101110111 (base 2) to base 8\nAnswer: -6567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/180 - l**4\/36 - 2*l**2. Factor m(r).\nAnswer: r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -390 + 993. Let c = f - 510. What is the greatest common factor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-32))\/((-3897)\/3464). Let c = 1 + -1.2. Let d = c + 0.2. Sort z, d, 0.3 in decreasing order.\nAnswer: 0.3, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133806727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28176966173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/(36\/324).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-972)*-6)\/(49\/(-70)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8012, -8013, -8016, -8021, -8028, -8037?\nAnswer: -8048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (-1040)\/26 - -12. Factor -4\/5*x**4 + 108\/5*x**3 - 96\/5 + 292\/5*x - d*x**2.\nAnswer: -4*(x - 24)*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(4\/(-2548))*(-244)\/72. Let u = n - 2161. Calculate the common denominator of -23\/6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -626282 (b) -5 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 27226943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 18398928.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 112162829*i**2. Let n(j) = -2*j**2. Determine n(g(o)).\nAnswer: -25161000418566482*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0, 2, -1081?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) - 6\/10. Let o be b\/(((-1)\/414)\/1). Let t be (o - -2)\/((-2)\/25). What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*a = -2*k + 11323, k - 5668 = -5*a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -43, -86, -143, -214, -299?\n\"Answer: -7*t**2 - 8*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -1 + 33 + (-10 - (-7 + 2 - 14))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 23968000 to the nearest 100000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 263258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 33413978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -61.4 + 30\nAnswer: -31.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27717, 27712, 27703, 27690, 27673, 27652, 27627?\n\"Answer: -2*t**2 + t + 27718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10001221120?\nAnswer: -10001221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*n + n = -40, x - 10 = 2*n. Suppose 8 = 5*o - x. Suppose 6*c - b = c + 32, 18 = o*c + 3*b. Solve 0*f - 2*f = c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)*u\/((u\/(u*u**(-5)\/u*u)*u)\/u)*u*((u\/((u*u*u**15*u)\/u*u))\/u)\/u*u**(2\/25) assuming u is positive.\nAnswer: u**(-873\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 8, l: 1, m: 3, e: 5}. What is prob of sequence lp?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from oamamjooompjaoojoamv?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3012 (base 4) to base 13.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**8\/6720 + z**7\/840 + z**5\/40 + z**4\/8 + 2*z**2. Let o(g) be the second derivative of c(g). Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7\/4. Let y = -2067 - -2066.7. What is the closest to r in y, 1, -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -712 - -716. Let g(z) = 8*z - 12. Let k be g(2). Suppose 2*y + 6 = 36. Solve -k*j = n - y, -i*n + n - 3*j = -18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*z - 265 = -9*z, -w = 2*z - 56. Let p = -3543851\/78 + 45435. Calculate the common denominator of w and p.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j**3 - 2*j + 1. Let w be u(1). Let c = w - -23. Suppose 4*a - 138 - 50 = -4*i, 0 = -2*a - i + 93. What is the remainder when a is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/5, 0.06 in descending order.\nAnswer: 3, 0.06, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/55 in 28, -4, -1, 0.3, 16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from rsbssrrr.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -34663654?\nAnswer: -34663643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 13, 2, -2 in ascending order.\nAnswer: -2, 2, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 3:55 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 34.8, 514?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 1. Let y(f) = -3*f**2 + 4*f + 4. Let v(u) = 4*j(u) + y(u). Let p(a) = a**2. Give p(v(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8917108.\nAnswer: 2, 2229277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 88795*z**3 + 473*z**2 + 1892*z + 1419. Let d(q) = -1124*q**3 - 6*q**2 - 24*q - 18. What is 473*d(x) + 6*g(x)?\nAnswer: 1118*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14431291 by 14431291.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1040585 and -199\/891930.\nAnswer: 6243510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 + 3*n**2 - 3*n + 9. Let y(b) = -1 + 4*b**2 - 5*b**3 - b**2 - 10*b**3 + b + 14*b**3 - 4*b**2. Give f(c) + 3*y(c).\nAnswer: c**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqqccqcqbccqccq. What is prob of picking 3 q and 1 c?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 + (-1183)\/(-238))*(-1209)\/(-26) and 514\/(-144) - (-10)\/(-45).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.888 + 0.888. Which is the smallest value? (a) -103 (b) 2\/7 (c) -0.3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 44 = -4*r - 2*d, -5*r + 5 = 5*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (15 - 25 - (-2 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 3 + 3*z + 2*z - 5*z - 2*z - 7*z**2. Let n be x(-7). What is the first derivative of -4 + n + 12*o**3 + 13*o**3 - 6*o**3 wrt o?\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 393019 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 3*q - 49. Let b be o(9). Suppose -18*v + 5*x + 6020 = -16*v, -5*v = -b*x - 15035. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 1. Let v be r(7). Let j(d) be the first derivative of -6\/7*d + v + 5\/7*d**2 + 22\/21*d**3 + 3\/14*d**4. Suppose j(a) = 0. Calculate a.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202441633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/6)\/((-3)\/(-30)). Let v = t + -104\/3. What is l in 1\/3*l + 0 + v*l**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 23 + 1 = 0. Suppose -4*q - 24 = -p. What is the common denominator of (94*(-1)\/(-2))\/(q - 1) and -89\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:47 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 12*w**2 + 13*w - 13. Suppose 5*r = 7*r - 22. Let k be m(r). Let f(j) = 8*j**2 + 41*j - 41*j + k*j**2. Let l(h) = -3*h**2. Determine f(l(t)).\nAnswer: 153*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/35*-2 - 4\/10. Which is the fourth biggest value? (a) n (b) 2\/9 (c) 1\/5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -875*a + 5174*a + 1589*a - 790*a + (-1 - 1 + 4)*(2*a - 2*a - 5*a).\nAnswer: 5088*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*s - 52*s - 6*s + 4277 to the form g*s + w and give w.\nAnswer: 4277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1609167523?\nAnswer: 8563, 187921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 - -205. Calculate the remainder when 88 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-155 - 28). Let x = -57 + t. Solve 0 = -6*w + x*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 26 = 14*i - 153 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**9\/126 - k**5\/15 - k**2\/2 + 6. Let b(w) be the second derivative of y(w). Find the third derivative of b(q) wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10100110100?\nAnswer: 10100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212586 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4695019um to centimeters.\nAnswer: 0.00004695019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 38. Let r(f) = -6*f - 115. Calculate -2*r(i) - 7*y(i).\nAnswer: -2*i - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 + 22*z + 121. Let m(n) = 7*n**2 - 43*n - 232. Let h(o) = -2*m(o) - 5*u(o). Calculate h(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 145000.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*g**2 - 468*g**2 - 211*g**2 - 137*g**2 in the form l + h*g + i*g**2 and give i.\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 5434*o**3 - 1118 + 1118 - 3*o**2.\nAnswer: -5434*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeeexxex. What is prob of sequence xexq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n - 26*n + 40*n - 242 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(5*p**3 - 3*p**3 - p**3) - p**3 + 0*p + 0*p)*(82*p - 82*p - 9*p**2).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/210 - a**4\/28 + 2*a**3\/21 + 39*a**2 - 3*a. Factor x(v).\nAnswer: 2*(v - 2)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + 1001?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41976 divided by 2332.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249363 by -3.\nAnswer: -83121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v + 5*g, -v = -4*g. Suppose 0 = 27*h + 73 + 62. List the prime factors of (h + 4 - 1) + 95 + v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 - l**2 + 4*l + 2. Let b(i) = -4*i**3 + i**2 - 3*i - 2. What is 4*b(q) + 3*v(q)?\nAnswer: -q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0.3. What is the closest to -2 in i, 0.1, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229845.\nAnswer: 3, 5, 7, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 20*m = 0. Solve m = -49*l + 46*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1466, 1460, 1454, 1448, 1442, 1436?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19820118 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 13.58?\nAnswer: -13.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-45)\/(-20520)*38*(-8)\/(-14).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -345 - -362. Suppose 0 = -11*y + 16 + b. Solve -4*u + 13 = -y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:02 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.04 (b) 189 (c) 3\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1993, -1994, -1995, -1996, -1997, -1998?\nAnswer: -1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 4*g**2 - 2*g - 4. Let o(l) = l**3 + 8*l**2 + 9*l + 7. Let p be o(-9). Let y = -77 - p. Let j = y - 82. Calculate m(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3464*y - 2105*y = -4827*y + 544368 for y.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61929.5652 rounded to the nearest one hundred?\nAnswer: 61900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 21 - (12 + (33 - -4))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 + -1)\/((-2)\/(-4)). Let d be -16*(5\/30)\/((-1)\/(-3)). Let g be (6\/d)\/((-4)\/t). Solve 0 = g*o - 10 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119321569 a multiple of 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3670 + 2977 = -5*r - 2*n, 0 = r - 2*n + 1339. Is r < -1331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1932, 5073, 8218, 11367?\nAnswer: 14520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -13. Let k = w + -5.9. Let v = -8\/5 + 14\/15. Which is the second biggest value? (a) k (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/42 + 41*v**5\/20 + 5*v**3\/6 - 2*v**2 + v - 7. What is the second derivative of n(k) wrt k?\nAnswer: 20*k**3 + 246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128069 divided by 1205?\nAnswer: 128069\/1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*y + 264 = -26*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*(-7 + (-91)\/(-14)). What is the units digit of 594 - (21\/n + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 2. Let i be r(-4). Suppose -t + 0 = i. Which is greater: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 3:45 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 0.1.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -32*w - 316. Let i be b(-10). Solve 4*m = s - 3, -m + i = -2*s - 3*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 27*s**3 + s**2 - 4*s - 4. Let f be n(-1). Suppose -322 = -7*m - 126. Let d = f + m. Calculate the greatest common factor of d and 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + 1 + sqrt(125) + 0 + 3)**2 + -5.\nAnswer: 80*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/20 - (-2)\/(-4). Let b(k) = -13*k**3 + 2*k**2 - 1. What is b(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126460*v**3 - 2*v**2 + 12*v**4 - 126454*v**3 + v**4 + 11*v**4 as f*v**3 + r + q*v**2 + c*v + l*v**4 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 - 329*o**3 - o**2 - 3003*o - 1.\nAnswer: -60*o**2 - 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*o - 11374 = 0, 12*w - 8*w = 4*o + 22752. List the prime factors of w.\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a + 2. Let p be x(-2). Solve 4*q = -0*q - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(3))**2 - ((sqrt(5) - (-1 + sqrt(5))*-2) + sqrt(5))) + (1*sqrt(25)*1)\/(3*sqrt(15)\/sqrt(3)).\nAnswer: -11*sqrt(5)\/3 + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 12 + 15 - 1958*d - 1 in the form l + x*d and give x.\nAnswer: -1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4416752*j**2 - 2*j - 105170 wrt j?\nAnswer: -8833504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*a**5 - 4251688*a**4 - 346371522*a**2.\nAnswer: 2700*a**2 - 102040512*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((-2)\/(-40)). Let f = 97 - 65. Suppose 0 = 4*a + 4*g - f, -a = -2*g - 10 - u. What is the remainder when 35 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(55)*2)\/sqrt(5) + sqrt(11) - sqrt(11))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 159 = -394. What is the remainder when 51 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, and 1 k when three letters picked without replacement from {d: 1, k: 5, q: 10, v: 2, z: 2}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) - 4*sqrt(108) - sqrt(3))*-2.\nAnswer: 4 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*a + 272*a = 541*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/18 (b) -0.4 (c) -791 (d) -261 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -30. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(-4)*j*j))**(-26)\/(j**(-7\/3))**(-2\/79) assuming j is positive.\nAnswer: j**(43120\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10409.4244 + -0.4244. Let w = q + -10406.4955. Let s = -2.5 + w. What is s rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -5*n**2 + 7. Let i(j) = 3*j + j**2 - 3*j. Determine v(i(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-5) - 0\/1. Suppose u*l = -3*l. Let g = l - -2. Sort g, 0, 5 in descending order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20)\/(-1 - (-6)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 183.53 and -6?\nAnswer: -1101.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (9 - 1)*29\/(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*q - 100*q = -61*q + 182 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-286)\/572)\/((-1)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 0, 0.2 in ascending order.\nAnswer: -5, -2, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z**3 - 1902 - 1836 + 3738.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from jfsjjjjsjf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**4 + 4*g**4 + 4*g**4 - 2*g**4 - 2*g**4 + 3*g**4 + (-g**3 + 5*g**3 - 2*g**3)*(3*g - g - g) + 8*g**4 - 4*g**4 - 5*g**4.\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*d - 6*d + 0*d)*(-2 + 5 - 2).\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4008 and 760184.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 7*r = 8 + 34 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4, 7, 5, -1, 59, 78 in decreasing order.\nAnswer: 78, 59, 7, 5, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(5\/7)\/((k**(-29)\/k)\/k) assuming k is positive.\nAnswer: k**(222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.239 and 96.9593.\nAnswer: 96.7203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.08 and 267438.\nAnswer: 823709.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w*w**(-1\/15))))*w)\/w**(-10)*(w*w*(w*(w\/((w\/(w\/(w\/(w**1\/w))))\/w))\/w)\/w)**22 assuming w is positive.\nAnswer: w**(826\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -96642 divided by -826?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c0a - 149a?\nAnswer: -21a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h - 5*h - 3*h. Let q(c) = -3*c**2 - 3*c + 3. Let i(s) = 6*s**2 + 7*s - 7. Let m(w) = 3*i(w) + 7*q(w). What is a(m(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 - (-11 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1560632 + -2270632. What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -890.\nAnswer: -890.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 2*o. Let x = -4 - -7. Let b be m(x). Suppose 5*l = b*h - 1 + 15, 0 = 4*h - 8. Let d(z) = -z + 2. Calculate d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -30, -66, -124, -210, -330, -490?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*z + 10, -z = -14*b - 9 - 131 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3474.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*x = -12, 35 = 5*c + 5*x - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + cb333?\nAnswer: cb339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.658 + -4679474.\nAnswer: -4679464.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 12*b**2 - 4*b + 40. Give y(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9434 - -9428. Sort 3, d, -0.01, 1\/7, 0.2.\nAnswer: d, -0.01, 1\/7, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 8*g**2 - 6. Suppose -5*a + 4*b = 39, -a - 4*b = -0*b + 3. What is the remainder when w(a) is divided by (((-11)\/(-5))\/((-24)\/40))\/((-13)\/39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -1 + 1\/4*r**4 + 4*r - 3\/2*r**2 + 4\/3*r**3. What is q(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 26.2. Let f = -4.8 + q. What is the second biggest value in 3, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - -120?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155077283?\nAnswer: 31, 83, 60271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2)\/(2*(-8)\/(-40)). Let q(z) = z**3 + 6*z**2 + 5*z - 1. Give q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1640 or 1?\nAnswer: -1\/1640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1 + 3 - 4))\/2. Solve 2*j + 2*y - 8 = d, 0 = -0*j + 2*j + y - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i**2 + 19*i - 11. Let k be 3\/(-3 + -3)*-4. Let j(c) = -39*c**2 - k + 33*c**2 - 1 + 10*c - 3. Let t(v) = 6*a(v) - 11*j(v). Factor t(s).\nAnswer: -2*s*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2554 is divided by 866?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 532.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 38. Suppose 0 = -m*q + 8*q + 53. Let v(d) = 67*d - 4 - q*d + 4. Give v(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 8. Let i = 4 - -1. Suppose 3*v - 2*v = -5*w - 1, 3*w + i*v + 5 = 0. Calculate s(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12950 + 18422. Suppose -5*r + 2175 = 2*b, r + 0*r - x = -5*b. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - -36.6. Let y = 63212 - 316066\/5. Sort y, -2, 0, s in increasing order.\nAnswer: -2, y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 108, -2\/39, -8\/11, 0.3?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1185 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*q - 37*q - 95 - 33*q)*(1 + 1 - 4).\nAnswer: -2*q + 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-1876 - -76)*450.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1148213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d + 13*d + 650 = 0. Which is the biggest value? (a) d (b) 0.09 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 3*s + 27. Let n be f(-17). Let d = n - -323. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*r + 95. Let j(n) be the third derivative of -n**3 + 0 + 1\/24*n**4 + 2*n**2 + 0*n. Calculate j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2, -59 in increasing order.\nAnswer: -59, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 845 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -15)\/((-3)\/2). What is the third derivative of -6*g**4 - 7*g**4 + g**2 - 2*g**2 + 4*g**o wrt g?\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-55))\/((-4)\/(-5))*(-266)\/10773.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1020\/5489 + -2\/499. Let r = -11 - -10.88. Let j = 0.4418 - 4.4418. Which is the biggest value? (a) 1 (b) q (c) j (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-18 - -18 - (3 - 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(sqrt(125) + sqrt(125) + 0) + sqrt(125) + (sqrt(125) - sqrt(125)*-1)*-5).\nAnswer: -330*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5961148 or 5961149?\nAnswer: 5961149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/2512 + 4997\/22608. Which is the second biggest value? (a) p (b) 2\/17 (c) -0.155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 821.1?\nAnswer: -172.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 7\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/((-33)\/(-12)) - 1. Suppose k*g = -a + g + 6160, 3 = 3*g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19358*h = 798109 + 479519 for h.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*j + 3*j = 140396, -4*g + 187204 = j. Suppose -p - o - 15612 + 12 = 0, -3*p - o - g = 0. Round p to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/4 + 23283*m\/4 + 209061\/2 = 0.\nAnswer: -7743, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*t = -92 + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:44 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 2*g + 7. What is m(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f**2 - 17*f + 17. Let v(k) = -5*k**2 + 6*k - 6. Let c(m) = 6*q(m) + 17*v(m). Let o(h) = 6*h**2. Give c(o(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 56*i - 11. Let f(x) = 50*x - 9. Give -5*f(w) + 4*l(w).\nAnswer: -26*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by -7.\nAnswer: -93\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*q - 6, 0*q = o - q. Let k be (o - 1) + -3 + 8. Let z = -0.1 - 0.9. Do z and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878778449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 64 = 136 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022450 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000176 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let t = 0.5 + n. What is the third smallest value in 2, t, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1768 - 1430. What is the remainder when f is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 116*k + 3*k + 2130 = -1406 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/198*3*2\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -30\/46231043?\nAnswer: -30\/46231043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5409961, 10819755, 16229549, 21639343, 27049137, 32458931?\n\"Answer: 5409794*j + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7*a = 87, -41 = j + 216*a - 219*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let a = -146 - -148. Let u(d) = 39*d**3 - 105*d**a + 28*d + 105*d**2. Let k(y) = 2*t(y) - u(y). What is the second derivative of k(f) wrt f?\nAnswer: -234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 + (-46998)\/(-945) + 164\/540\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) -119 (b) -29\/12 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 129522, 258835, 388148, 517461?\n\"Answer: 129313*f + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Suppose -2*b = -7*b + 5*j, 4*b - j = 6. Suppose 4*d = -3*k + 20, 0 = -0*k + 3*k. Let l(x) = d*x - x - 3*x - b*x. Calculate l(f(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 18*p**2 - 6*p - 7. Suppose 7*i + 21 + 105 = 0. Does 12 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39831 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**6\/x**(1\/5))**40)**34)**3 assuming x is positive.\nAnswer: x**23664","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -14*b**2. Let x(o) = 82 - 24 - 24 - 31 - 16*o. Give x(r(g)).\nAnswer: 224*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2345*p + 68 = -2337*p, -4*v = 2*p + 46 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvvw when four letters picked without replacement from numvuvnuvufvfw.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 52911 = -9*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -4, -0.047, -1\/53?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 128282?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 1\/60*q**5 - q**2 + 0*q + 0 + 0*q**3 + 0*q**4. Let b(y) = 3*y + 4*y**2 - 3*y. What is b(s(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -7, 2 in increasing order.\nAnswer: -7, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10322 (base 5) in base 15?\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:59 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(-2*1*sqrt(102) - -6*(sqrt(102) - (sqrt(102) - sqrt(102)*-1)))\/(((sqrt(432)*-2)\/sqrt(12))\/sqrt(6)).\nAnswer: 2 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 84*v**4 + 828*v**3 - 3726*v**2 + 7857*v - 6318 = 0. Calculate v.\nAnswer: 3, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -837 divided by 279?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14393, -28775, -43137, -57473, -71777, -86043, -100265?\n\"Answer: a**3 + 4*a**2 - 14401*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143625 - 94849 - 252181 = -4055*l for l.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 16, c: 4}. Give prob of picking 3 c.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - u + 126. Let l = u + -14. Solve l = -3*t + 2*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 50*j**2 + 2754*j - 10. Calculate r(-55).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132743 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 2:51 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 375573\/418*(-32)\/(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203.6 + -207.4. Which is the closest to i? (a) 2 (b) -0.03 (c) -4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32288.49 centuries in decades?\nAnswer: 322884.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - (3 + 1)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 + 5*i**2 + 5. Let z(q) = -7*q**3 + 9*q**2 + 9. Let b(h) = -11*y(h) + 6*z(h). Let k(l) = l**3 - l**2 - 1. Calculate -2*b(r) + 2*k(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 548 and -0.07?\nAnswer: 548.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 632223 or 632224?\nAnswer: 632224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5187 is divided by 874?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 93.87 + -29679.54352\nAnswer: -29585.67352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32604*q**5 - 3522*q**4 - 61817044*q**2 wrt q?\nAnswer: -1956240*q**2 - 84528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5884.12291 rounded to the nearest 10?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -134922?\nAnswer: 134918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 23*j + 1. Let n(m) = -m**2 + 9*m + 15. Let q be n(10). Suppose q*a - 7 = 8. Let w be (-5 + a)\/((5 - 1)\/2). Determine f(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25517581.\nAnswer: 61, 418321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*((-1*sqrt(95) - sqrt(95)) + sqrt(95)))\/(sqrt(50)\/(sqrt(10) + -6*(sqrt(10) + 1*sqrt(10)) - sqrt(10))).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1139765 and 1139765 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m = -70. What is the remainder when 68 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -43688123?\nAnswer: 43688126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41081914 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 9:48 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 19. Let i(r) = 5*r**2 + 2*r + 2. Let y(c) = -22*c**2 - 9*c - 9. Let n(p) = 9*i(p) + 2*y(p). Calculate n(t(q)).\nAnswer: 4*q**2 - 76*q + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131228917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -8*p**5\/11 - 272*p**4\/11 - 2474*p**3\/11 - 38*p**2\/11 + 39184*p\/11 - 53816\/11 = 0?\nAnswer: -31\/2, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)\/r**(30\/7)*r*r**(3\/13)*r**(-9\/5) assuming r is positive.\nAnswer: r**(-5717\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 699, 1391, 2321, 3495, 4919?\nAnswer: 6599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40920 and 24.\nAnswer: 40920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 17 + 98 = -4*b, 4*o - 44 = 2*b. Let p = b + 20. Sort 6, p, -3, 1 in increasing order.\nAnswer: -3, p, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 5, i: 3, e: 1, m: 3}. Give prob of picking 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 13*q**2 - 3*q - 35. Let z be a(-13). Solve 2*d + z*w + 2 = 0, 5 = -0*d - 3*d - 4*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3243977, -3243985, -3244005, -3244043, -3244105, -3244197, -3244325?\nAnswer: -3244495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 14 = -s, 2*n + 3*s + 0 = 9. Let g = -12 - -12. Solve -z - z = -n*w + 3, -z = g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -19, -40, -71, -112, -163, -224?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 204736460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -79524 - 5?\nAnswer: -79529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -117 (b) 24 (c) -3 (d) 2\/7 (e) -2\/7 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l + 120. Let o = 54 - l. Suppose -o*t + 23*t + 4 = 0. Solve -t*c = 4, -k - 4*k + 3*c = -28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:59 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -8. Let w(j) = 2*j + 3. Is 7 a factor of w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -17 + 11 + 4 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6453383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267140353748\/6363 + 41983392. Let j = -1\/12726 - w. Calculate the common denominator of j and 315\/(-12)*2\/27.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f**(-2\/99))))\/f)**(-1\/25)\/(f**36*f*f*f\/f**(-6\/19)*f))**(-2\/25) assuming f is positive.\nAnswer: f**(3791624\/1175625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/9, 4, -14.05, -2\/29, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 + -96. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*d - 76. Suppose 3*y + 2*y = d. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -31, -34, -49, -82, -139, -226, -349?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8))**(5\/6) assuming o is positive.\nAnswer: o**(5\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.3 - -6. Let r = w - 1.722. Round r to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224798 is divided by 172.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/4)\/(-3))\/(33\/((-4950)\/30)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8916196*t**3 + 28217700*t**2 - 4467852*t + 181548 = 0. Calculate t.\nAnswer: 123\/1493, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00430794 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-60))\/((-2)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205132838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187232 is divided by 46249?\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8872687, -8872539, -8872391, -8872243?\n\"Answer: 148*c - 8872835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f = -2073. Suppose -10*s - 163 + f = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 1329.\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*r + 7*r. Suppose -599 = -r*t + 805. Suppose -84 = -5*c + 5*p + 471, 2*c - t = -4*p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 40. Suppose 0 = -14*u + n*u. Sort u, -5, 3, -4 in ascending order.\nAnswer: -5, -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**(-2\/11))*t)\/t*t*t*t)**(11\/2)\/(t**3\/((t\/((t**3\/t*t)\/t)*t)\/t)) assuming t is positive.\nAnswer: t**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a + 168. Let v = 210 + a. Let r be (-282)\/(-16) + 87\/232. Calculate the greatest common divisor of r and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -12. Let f = -2.1 + 0.1. What is the third smallest value in f, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 662576236 and 3362?\nAnswer: 3362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/106783520 and 29\/10.\nAnswer: 106783520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1876)\/(-5092)*19\/2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0*j**2 + 0*j**2)*(2 - 3 + 2) + 2*j**2 + 3*j**2 - 2*j**2 + (3*j - 3*j - j**2)*(8 - 3 - 2).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-36) + (4\/(-6))\/(-1). Suppose 11*r + x*r - 1378 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240.8 - 254. Let j = x - -13.1. Suppose -4*k = -0*k, 0 = 5*n + 3*k - 50. Which is the closest to 1\/2? (a) n (b) 1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10822*d**2 + 5*d**3 - 2*d**3 - d**3 + 10822*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/(-295))\/(544\/680*2\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2380999 * 0.069\nAnswer: 164288.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**0)\/t)**(-41))**(-1\/49)*(t**(-1))**30\/(t*t**(1\/2)\/t*t*t**(2\/25)\/t) assuming t is positive.\nAnswer: t**(-1529\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (-1 - (-1 - -3)). Is (34\/o)\/(1\/38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4262543*j*m**2 - 7288301*j with respect to m.\nAnswer: 8525086*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*f + 6, -20179*f + 20183*f + 8 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**18*v*v**(-1\/8) assuming v is positive.\nAnswer: v**(151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 37, 54, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 54. Let i = g - -41. Let w be -4*-9*(-2)\/(-48). Which is the nearest to 0? (a) w (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 25*t**2 - 12*t - 87. What is the units digit of c(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z + 9*z + 29 - 5 - 8*z. Suppose -33*t + 401 = -61. Let l(c) = -4*c - 5. Calculate t*l(w) + 3*b(w).\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-29)\/(f*f*f**(2\/31)\/f)*(f\/(f\/f**(2\/7)))**(-1\/36) assuming f is positive.\nAnswer: f**(-117463\/3906)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**3 - 3*z**3 - 4*z**3 + (3*z**2 + z**2 - 2*z**2)*(5*z + 2*z - 5*z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 62*f - 2. Let v(y) = -61*y + 1. What is -2*b(t) - 3*v(t)?\nAnswer: 59*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*n = -23*n - 37*n + 297 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -41*v + 155 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-162)*(-8)\/(-14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 15. Solve y*t - 18*t - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2 - 7, 3*y + 3*g = 12. Suppose -3*x - 4*a + 28 = 0, 2*x - y*a - 32 = a. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2826 - -188?\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 2 - 5 + 13.\nAnswer: -4*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**(-24) assuming i is positive.\nAnswer: i**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 + 145*f**2 - 32*f - 535. What is the tens digit of u(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -71. Solve 5*b = 5*n + x, -2*b - 2*b = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-1350)\/20)*3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 203*v**2 - 12*v - 17. What are the prime factors of a(-2)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 31 + 19 = 0. Let f be i - -6*(-32)\/(-36). Factor f*q**2 - 2\/3*q - 1.\nAnswer: (q - 3)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-9)*1\/((-9)\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860 = -3430*c + 3410*c for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5258 - -36808\/7. Which is greater: -1344 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1743, -1727, -1713, -1701?\nAnswer: -1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 114215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, -46, -270, -656, -1240?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/320)\/(-2*(-4)\/(-24))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 0.08055.\nAnswer: -0.8055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 + 374*a\/3 + 1504\/3.\nAnswer: -(a - 752)*(a + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820584 + 1815304 = -110*a for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2352900 and 112530?\nAnswer: 25881900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 120. What is the nearest to -1\/3 in 4\/5, c, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:24 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -1\/6*q**3 + 0*q + 0 - q**2 + 1\/15*q**5 + 0*q**4. Differentiate f(n) with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 39 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 235880719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*y**4 - 42*k*y**3 + 2*k*y**2 + 122*k*y - k - 33*y**2 + 134*y wrt y.\nAnswer: 24*k*y**2 - 252*k*y + 4*k - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*2*sqrt(1539) - ((sqrt(1539) + 1)*-5 - 2*(0 + sqrt(1539))))**2.\nAnswer: -4770*sqrt(19) + 4323076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q. Let b(f) = 5*f**2 + 3*f - 13. Let l(c) = b(c) - 3*k(c). What is the units digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4974 - 0.2.\nAnswer: -4974.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/84*7)\/(6\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.067 + -0.933. Let m = -0.23 + -0.07. What is the smallest value in c, 0.1, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.31 and 9.\nAnswer: -2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23357056 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/16)\/(i\/((i\/(i*i**(2\/5)))\/i)))**(-1\/3))**22)**(-4\/3) assuming i is positive.\nAnswer: i**(-2167\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 125, 237, 383, 557?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.2 - -2.2. Suppose 0 = u + t - 10, 20 = 3*u - 4*t - 3. Let v be (-16)\/u - 2\/9. What is the nearest to v in -4\/9, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*h - 24026165 + 24033018 = 0 for h.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(99 - 99 - 65*o)*(9181 - 9181 + 49*o) to the form p*o + x + y*o**2 and give y.\nAnswer: 3185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 j when three letters picked without replacement from {o: 12, j: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6) - 651\/(-294)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000131685868 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80986.63 - -81349. Let t = 364 - s. Round t to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -5 + 11\/((-44)\/(-40)). Solve 4*u - 4*l - 24 = 0, i = -2*u - 14*l + 12*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246.3 + -246. Let r = -5 + 9. Let q = -3 + r. Which is the third smallest value? (a) q (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 109.25.\nAnswer: 109.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/24 - 425*x**3\/6 + 180625*x**2\/4 + 2*x + 268. Factor a(f).\nAnswer: (f - 425)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 4*t + 4. Suppose -y - 12*r + 43 = -10*r, 0 = 5*y + 3*r - 215. Calculate the remainder when -8*(18 - -3)*t is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/70 + p**6\/40 - p**5\/20 - p**4\/8 + 32*p**2. Factor l(r).\nAnswer: 3*r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -55 (c) -2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8077556.\nAnswer: 2, 1319, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - f + 4. Let g be n(-3). Let y = g + -20. Let i = 0 + -1. What is the closest to -0.2 in y, -6\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23395\/19 + -1231. Let r be 6\/18*417\/(-4). Let w = r + 34. Which is the third biggest value? (a) w (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/60 + q**5\/20 - q**4\/12 + q**3\/2 - 41*q**2. Suppose -2*i = 3*p + 4, p - 3*i - i - 22 = 0. What is g(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17*y - 81. Let h(t) = 3. Give 2*h(a) + o(a).\nAnswer: -17*a - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13751.321 * 0.2\nAnswer: -2750.2642","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2 + sqrt(171) - sqrt(171))*-4*-5)\/((-3*sqrt(45))\/sqrt(5)*-1).\nAnswer: -40*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x - 4*x**2 + 2*x**2 - 2 - 4*x**2 + 5*x. Let j(t) = -3*t**2 + 3*t - 1. Calculate 3*g(i) - 5*j(i).\nAnswer: -3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 13) to base 16\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -227, -453, -679, -905?\n\"Answer: -226*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19192 - -32370. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 6*b - 3. Let z(y) = 4*y + 1. Let r be z(-3). Let f = r + 22. Calculate the remainder when f is divided by d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*o + 4*o. Let m(h) = 157*h**2 + h - 1. Let i be m(1). Suppose o*k - i = -k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 12353*c + 914205. What is g(-74)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 2*a**2 - a**4 + 2*a**2 - 3*a**2 as r*a**4 + p*a + i + v*a**3 + w*a**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1200541 - 5?\nAnswer: 1200532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 99d + -18548?\nAnswer: -17a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/4 + d**2\/2 + 8*d + 5. Is c(0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 7*f**2 - f - 9. Let s be w(-7). Suppose -12 = -2*p + 5*p. Put 5, s, p in increasing order.\nAnswer: p, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((56\/(-320))\/(-7))\/((-110)\/132)*(-16)\/6?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 3*p + 0*p + (-1658*p - 209*p + 179*p)*(-3 + 1 - 1 + (0 - 2 + 3)*(-3 + 0 + 4)).\nAnswer: 3379*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -6, -12, 2.9, -48.8?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/12 and 79\/316974.\nAnswer: 633948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.028, 6337, 7?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 12, 28, 64, 126, 220, 352, 528?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(88)\/sqrt(176)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 - (-3)\/(-12). Suppose y = 4*m - 8, 10*j - 8 = 9*j + m. Suppose -22 = -x - 6. Calculate the least common multiple of x and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2343976*i - 10*c + 160 = 2343971*i, -4*c - 104 = 5*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45501 and -0.4?\nAnswer: -18200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91.5 + -65.593419076.\nAnswer: -157.093419076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5473753 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -520 - -520. Let a(h) = -12*h + 75. Calculate the remainder when a(p) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/9 + 137924*g**3\/9 + 1103264*g**2\/9 = 0. What is g?\nAnswer: -68954, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327 and 207?\nAnswer: 22563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + j - 8065*j**3 + 89822*j**3.\nAnswer: 81757*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300425642?\nAnswer: 2, 11, 113, 120847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = -108. Suppose -2*u = u - s. Calculate the remainder when 47 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 41, 38, 37, 38, 41, 46?\n\"Answer: q**2 - 8*q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 - 4*c + 4. Let g be (0 - -2) + 1\/1. Let r(n) = 6*n**2 + 3*n - 3. Let p(j) = g*w(j) + 4*r(j). Let l(z) = z. Calculate l(p(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:30 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w**2 + 8*w - 91. Determine q(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -136. Let i = b - 69.3. Let m = 5.70000062 - i. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 1 - 7*t - 3*t. Let j = 29 - 33. Is d(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 784 divided by 1\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.09*-163.9.\nAnswer: -670.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28169547 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388231819.\nAnswer: 809, 479891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282944.\nAnswer: 2, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -15. Suppose d*o + 5*m - 23 = -0*m, m = -1. Suppose o*k - 320 = 2*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {s: 7, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -396*b**4 - 438*b**4 + 24 - 11 - 74 + b**2 + 833*b**4 - b**3 + b to k*b**3 + p + d*b**4 + m*b + t*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (2 - (-49 + -19 + 39 + -6 + -2))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2*f + 8 + 12 = -6*f, -65 = 25*s + 5*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(2\/(-90))\/((-13)\/(-39)*-4)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -715*g**3 + 44*g - 43. Calculate h(1).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -5, -2418, 4 in increasing order.\nAnswer: -2418, -5, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*s - 444339 = -446179 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 26, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -36 = 0.843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 4*o**2 - 2*o**2 + (-2*o - 2*o - o)*(-4*o + 4*o - o)*(-1 + 2 + 0) in the form p*o + j*o**2 + s and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1913, 3823, 5733?\n\"Answer: 1910*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 5*l + 7. What is the smallest common multiple of t(-5) and (-3 - 11)\/(-1 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -56. Which is the second smallest value? (a) -1\/2 (b) -2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000100110111111 + -10?\nAnswer: 100000100110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/12 + v**3\/2 + 3*v**2\/2 + 4*v. Let k(r) be the first derivative of t(r). Is k(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*j + 180 = 0, v - 4*j - 60 = -3*j. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/18 + (-14 - -11).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15035.\nAnswer: 5, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let r = 2 + y. Let o be r - ((-8)\/(-3) - 1). Which is the nearest to 0? (a) o (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-1))\/(17 + -7 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*6\/(-8). Suppose 6*x - x - 10 = 0. Which is the nearest to 1? (a) 2\/7 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-4)*40\/35. Sort 3, 5, q, -1 in decreasing order.\nAnswer: 5, 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85407 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*c**3 + 4*c**3 - 6*c**3)*(0*c + 2*c - 4*c) + 146*c**4 + 132*c**4 - 460*c**4 to the form x*c**2 + j*c**4 + f + v*c + z*c**3 and give j.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 + 8 + (4 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w + 10. Let o be t(13). Suppose -5*d + 3*s = -0*s - 192, -4*d + o = s. Suppose 4 = 2*k - d. What is the lowest common multiple of k and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 3*l - l)*(135 - 33 + 172 + 67) to v + r*l and give r.\nAnswer: 2046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-17 - -14)) + -2 - (-3 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + 5*o**2 + 785*o + 10. Let g(z) = -2*z**3 + 3*z**2 + 392*z + 6. Give -5*g(s) + 3*r(s).\nAnswer: s**3 + 395*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 55 - 33 + c**2 - c**3 - 32 + 5*c. What is i(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i. Let b = 16 + i. Calculate the greatest common factor of b and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -517, -566, -649, -766, -917?\n\"Answer: -17*g**2 + 2*g - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15171, -15174, -15177, -15180, -15183, -15186?\nAnswer: -15189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 7 = -3*w, 11 = 5*w - 4*d. Suppose -5*x = -w*x - 42. Calculate the remainder when 61 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12\/517?\nAnswer: 12\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**3 + u**2 - 4*u + 375. Suppose 3*j - 16 = 17. What is the remainder when w(2) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.971704 rounded to 3 decimal places?\nAnswer: 0.972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1636 times -0.24?\nAnswer: -0.039264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 12*s**2 - 5*s + 22. Let d be x(-5). Is (2\/d)\/(10\/(-93930)*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423441351?\nAnswer: 3, 349, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**2 + 4*h + 4. Give t(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/(-29) + (-180)\/2610?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (6 + -6 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-7 - (7 - (5 + 9))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242125861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a factor of 216343296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s - 2. Let f be p(-2). Let n be (2*-42)\/(-6) + f. Solve -3*i = 3*i - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 23. Suppose -n - 2*p = -m, n + 3*n + 1 = 5*p. Let x = -22 - -32. What is the remainder when x is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 27*v - 3. Let w(o) = -18*o + 2. Determine 5*n(j) + 7*w(j).\nAnswer: 9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.8 - -363.8. Let r = w - 330.999787. What is r rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 - 3*z + 54. Let n(p) = 8*p**2 + 5*p - 108. Give -5*f(b) - 3*n(b).\nAnswer: b**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (190*14\/280)\/((96\/16)\/(-12))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 - 1 - 6 - -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 0.03 (c) -103228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22.4 in 5, -1.6, 1, -1\/14, 1\/2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -49240*d - 98807. What is z(-2)?\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 314444119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39.65541459 and 5.\nAnswer: 44.65541459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8582 is divided by 882?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 divided by -283.\nAnswer: 528\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -980 + 980. Let c be -2 - (1 + 1 + -3). Let t = s - c. Is 2\/53 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (329\/(-5))\/((-15)\/25). Let x = -112 + k. Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/12 + 1038\/36 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3357972 - 1.78.\nAnswer: 3357970.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 237, 544, 985, 1566, 2293, 3172, 4209?\nAnswer: 5410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00435555124 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445890 (base 10) in base 11?\nAnswer: 285005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2096377383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-7)*5\/(525\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 17 + 3*o**3 + 34 - 8*o**2 + o**4 + 2*o as v*o + q*o**2 + c*o**4 + t + g*o**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -592*i**3 - 4*i**2 + 29*i + 1. Let a(j) = 1186*j**3 + 10*j**2 - 59*j. Let n(g) = 2*a(g) + 5*s(g). What is the second derivative of n(r) wrt r?\nAnswer: -3528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203220020100 (base 4) to base 13\nAnswer: 1c1cca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 25*r**5 + 305*r**4 + 810*r**3 + 850*r**2 + 365*r + 45 = 0.\nAnswer: -9, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1119 + -0.4419. Which is the nearest to -3? (a) 1 (b) -2 (c) z (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-1210\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -5417.\nAnswer: -5426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6264495*4\nAnswer: 25057980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 - h - 2. Let s be b(0). Let l(z) = -19*z. Let p = -58 + 68. What is the remainder when l(s) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3417.3 - -3561. Let o = -143.38 + j. Let b = -0.2 + 0.3. What is the third biggest value in b, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2 and 3 + (0 - (-378)\/96) + -5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.136.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 17 - 29 + 3*s**2 - 6*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2611.58796 seconds?\nAnswer: 0.0302267125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = 3. Let f = i - 0. Let h(j) = -j - 5. Let x be h(0). Put x, f, 4 in ascending order.\nAnswer: x, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -467 - -470. What is the closest to 1 in 2, -3\/2, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w - 17*w + 90. Suppose 27*x = 18*x + w. Suppose 0 = 3*z + s - 5, -5*s - 11 = 3*z. Which is the biggest value? (a) z (b) 2\/7 (c) -1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5412 + 2709 + 9*g - 12*g**2 + 2712. Let z(p) = -p**2 + p + 1. Determine -2*b(o) + 18*z(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - -158. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:50 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let k = 2702 + -2701.8. What is the closest to f in k, 0.4, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 3*f + 25, 0 = 3*f - 5*u + 29. List the prime factors of 232*(f\/(-2) + (-3 - -2)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76672.295 + -76099. Let j = 572 - w. Let s = j + 1.2. Round s to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 4. Let c be o(4). Let g = 32 - 17. Suppose 0*a - g = -3*a. Solve a*f - 30 = -5*s, -3*s - c*f + 8*f = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.12 - -0.12. Suppose 4*b - 3*k - 5 = 0, -4*b + 2*k + 2 = -0. Let m = b - -1. What is the nearest to m in -2\/11, a, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 10*q**2 - 15*q - 8. Let z be c(8). Let n(t) be the third derivative of -t**2 + z*t + 0 - 1\/2*t**3 - 1\/60*t**5 + 1\/8*t**4. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2337*w - 280714 = -77395 for w.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*h + 7. Solve h = -m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 = -103*c, -3*s = c + 4*c + 21 - 19 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -21*q - 2*q - 8*q. Suppose -3 + 5 = -2*g. Is y(g) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 85, 110, 131, 148, 161, 170?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15913, -16008, -16167, -16390?\nAnswer: -16677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 - 7*d**2 - 844*d - 4162. Determine u(-5).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**3 - 9*x**3 + 26*x**3 - 1 + 39*x + 2*x**2 in the form b*x + p + i*x**2 + f*x**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29\/181, 0.3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*m**4 + 1362*m**3 + 6*m**2 - 1179579 with respect to m.\nAnswer: 52*m**3 + 4086*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m + 49*m - 92*m - 4 + 21*m + 2*m.\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 12*j - 8. Suppose -j*m = -g + 3*g + 385006, -12 = 4*g. What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -137*l**6\/8 - l**5\/30 + 1457*l**4\/24 + l**3\/3 + 35*l**2 + 28*l. What is the second derivative of x(d) wrt d?\nAnswer: -12330*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 601.4 minus 0.117?\nAnswer: 601.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -0.4, -54, 0.03, 9, 0.38?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w - 6. Give r(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2 - 2)*(-5*o**3 - 7 + 7) + (o**3 - o**3 - 2*o**3)*(1 - o**2 - 1) - 2*o**5 - o**5 - 2*o**5.\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-3087))\/((-34)\/153)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424155090 to the power of 1\/4, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 6*q + 9*x - 4*x + 20 = -7*q, 8*q - 4*x - 16 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2 + 9*r - 11. Let i be t(2). Let z(d) = i*d - 8187 + 8187. Let l(u) = -65*u**2. Determine l(z(n)).\nAnswer: -585*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2865 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9439330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**5 + 8*k**4 - 14*k**3 - 32*k**2 + 66*k. Let q(f) = f**5 - 2*f**4 + f**3 - f. Suppose 62 - 30 = -32*o. Let w(v) = o*y(v) - 2*q(v). Factor w(i).\nAnswer: -i*(i - 2)**2*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 5 in descending order.\nAnswer: 5, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4457, -17836, -40131, -71342, -111469, -160512?\n\"Answer: -4458*g**2 - 5*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -14\/3. Let g = -7437\/7 - -1060. Let j = 2 + g. What is the second smallest value in p, -4, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2094 - 7078 = -x. Let h be ((-941116)\/x)\/11 - 2. Let q = 1\/1869 - h. What is the common denominator of 11\/8 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 19 = -4*x + 8*x, -k - 5*x + 23 = 0. Let j(w) = 2*w**2 - 2*w + 6. Let c be j(k). Suppose 3*v - c = 6. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 46163, 1.\nAnswer: -4, 1, 3, 46163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 15*t - 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 30.86645 kilometers?\nAnswer: 3086645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 675017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-40)\/12 + 14\/6. Calculate the greatest common factor of x and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = 3*d - 5*u - 252, u + 12 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1)*(-4*j**4 + 4*j**4 - j**4) + (4*j**5 - 6*j**5 + 0*j**5)*(3 + 1 - 3) + 0*j**5 + 2*j**5 - 3*j**5 + (25*j**4 - 65*j**4 - 23*j**4)*(j + 4 - 4).\nAnswer: -65*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = 2*z. Sort -3, 1, z in increasing order.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 3:19 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**3 - 1 + 1.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3*q**3 - 501*h**3 - 15*h**2*q**4 wrt q.\nAnswer: 3*h**3*q**2 - 60*h**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 e when four letters picked without replacement from {e: 2, d: 11, x: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -2*m. Let h(l) = 11*l**2 - l. List the prime factors of h(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2479 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -113ae - -4?\nAnswer: -113aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -12. Let p = 0.8 - 1. Let l = -25.1 - -25. Sort a, p, l.\nAnswer: a, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 18, 1\/8, 17, -4, -0.3, 1.\nAnswer: -188, -4, -0.3, 1\/8, 1, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 11. Let f be q(8). Find the common denominator of ((-303)\/8)\/(f\/9) and 7\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/25, -3, 0.04, 4 in descending order.\nAnswer: 10, 4, 2\/25, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 7*j + 1 = -17, 3421*j = -3*z + 3416*j + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107*n = -2267950 + 2312230 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588745 is divided by 3984?\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(352\/363)*11\/(198\/(-96)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332320321 - -32?\nAnswer: -1332320223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -11. Let o be 9*3*6\/(-27). Let f = i + o. Calculate the least common multiple of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*k - 449190 = -427*k. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15361.\nAnswer: 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 55.6. Let q = -0.08 - -5.08. Which is the third smallest value? (a) 4 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + n = -150, 2*n = 2*o - 3*n - 150. Let p be 10\/6 - (-100)\/o. Suppose -3*t = p*t. Solve -2*d + 1 + 1 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.4748099 seconds in weeks?\nAnswer: 0.00027525596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -290 + 512. What are the prime factors of m?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.948 + 13. Let u = k - 1.3491. Let l = u + 0.3. Round l to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180114 - -46?\nAnswer: -180057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 110, 373, 830, 1523?\n\"Answer: 7*p**3 + 34*p**2 - 40*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*g + 375 - 109 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkffaazaza. Give prob of picking 1 k, 1 f, and 2 z.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003014 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let n = 5 + -5. Suppose -3*o - y + 3 = -1, n = -2*o + 5*y + 31. Let x(p) = -p - o*p - p. Give x(d(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1298, 6581, 15380, 27689, 43502, 62813?\nAnswer: 85616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x**6 + 5\/336*x**8 + 3*x**2 + 0 + 0*x**5 + 0*x**3 + 0*x + 1\/12*x**4 + 0*x**7. What is the second derivative of m(h) wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.1 + 51. What is the fourth smallest value in z, 0, -3, -1\/20, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -533\/13158 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j + 5*g + 23 = 0, -5*j + 2 = -4*g. Is -4*1\/j - -7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/(1\/36). Suppose 4*s - 18 = r, -u = -2*s + 4*r + r. Let h = -5 + 8. Solve 0 = -s*b + b - h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677933 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1935936 times -0.1\nAnswer: -193593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13760 - 192557\/14. Find the common denominator of (1 - 2\/64*26)*-58 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uly when three letters picked without replacement from {l: 2, q: 1, y: 4, u: 1, a: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4923 + 835 = -4*x - 4*a, 3*a = 5*x - 5134. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**5\/20 - 22*l**3\/3 - 20. Let a(i) be the third derivative of z(i). Let p(s) = -s. What is a(p(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/1976913 and -92\/1537599?\nAnswer: 13838391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9215010 divided by -1535835\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15940633 is divided by 53492.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24194\/(-4))\/(5\/(-90)). Suppose 7*h = -2*h + x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/12 + (-15)\/(-28). Put 5, -2\/7, -4, p in decreasing order.\nAnswer: 5, p, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 39*i**2 - 44*i - 69. Give p(-38).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.970815 rounded to 2 decimal places?\nAnswer: 9.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/2)*i)**(-11\/4)*(i*i*i**(-6\/11)*i*i)\/(i**5*i))**43)**(12\/7) assuming i is positive.\nAnswer: i**(-44505\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 27555 - 27800 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11773 = -53*j + 247782. What are the prime factors of j?\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + (6 - 0) - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*z - 144*z = 259*z - 10619 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c - 15. Give m(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321\/2 + 160. Which is the nearest to 1\/4? (a) 2\/7 (b) 3 (c) 0.1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 divided by -2?\nAnswer: -421\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) -0.1 (c) 1474 (d) -4 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 10\/7 (c) -5 (d) 2\/37 (e) -140 (f) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2266*f*t**2*x**2 - 2*f*t*x**2 + 2*t**2*x + 6*t**2 - t + x**2 wrt f.\nAnswer: -2266*t**2*x**2 - 2*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1902*h + 1711 wrt h?\nAnswer: 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-245*g + 96*g + 71*g)*(1 + 4 - 1).\nAnswer: -312*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -2, -2\/13, -0.31?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 945 = -2*s + 2*l, -2*s = -4*l - 936. Calculate the highest common divisor of 140 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 722 + -6. Let k = i + -317. List the prime factors of k.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9588*v + 6 = -2*s - 9586*v, -3*s = -4*v + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1531.\nAnswer: -6124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91382 is divided by 2412.\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 59*b**2 - 735*b\/2 + 558.\nAnswer: (b - 3)**2*(b + 124)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 5518812 = -125*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11414.\nAnswer: 2, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 35226 and 35220 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1026 != 5404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2453?\nAnswer: 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 902? (a) 0 (b) 7 (c) 193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 146242 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3\/4 - 12531*q**2\/4 - 12519*q = 0.\nAnswer: -4173, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.2397l to millilitres.\nAnswer: 49239.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-7)*2)\/(-20*4*(-2)\/(-16)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665912028 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 2)*(2*c + 0*c + 0*c) - 77*c + 3 - 77*c + 159*c)*(-164*c + 164*c + 5*c**3).\nAnswer: 15*c**4 + 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1409*d = -1407*d + 4*r + 26, -4*d = -2*r + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8578960 rounded to the nearest 100000?\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392055 and 6?\nAnswer: 784110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(132)\/sqrt(3)*5 + -1.\nAnswer: -1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 45. Let o = 33 - 32. What is the remainder when p is divided by o\/(1\/12) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxmj when four letters picked without replacement from mxjjxxxmj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8629 - 8578. Let n be (0 - (0 - -1))*-14. Suppose -4 = -2*i + n. What is the smallest common multiple of i and z?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*z**5 + 28*z**4 + 3*z**2 - 398819*z wrt z.\nAnswer: 340*z**3 + 336*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + (-130)\/25)\/((-6)\/75*5). Let m(v) = 37*v - 9. Let p(r) = -18*r + 5. Determine k*m(t) + 5*p(t).\nAnswer: 21*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5448900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 45.2 and -0.038.\nAnswer: 45.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 40737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - a - 4, -4*a - 7 = 5. Let c(j) = -j + 19. Let p(v) = v - 18. Let y(o) = -4*c(o) - 3*p(o). Let k be y(18). Sort -5, k, f.\nAnswer: -5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260979 (base 13) in base 3?\nAnswer: -1201111221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 11:25 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 + 209. Suppose -10*f + n*f = 6296. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 317627 + 317627.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 u when three letters picked without replacement from {c: 9, y: 3, u: 4}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985851?\nAnswer: 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*f - 634*f = 30800 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*s - 34*s - 2*s)*(0 + 1 - 2)*(-2 + 5 - 1) + (1 + 0 + 0)*(-4*s - 8*s - 5*s) to j*s + r and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from poupxopuwoxobxwwxb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*t + 5 = 0, 3*b = 7*b - 2*t - 22. Let y be b + -8 - -3 - -11. Suppose -y*a + 3 = -24. Solve -o + a*o = 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -40. Let p(t) = -t - 4. Give p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + l + 9 = 0, -3*b - 2*l = 3*l - 3. Let h be 2\/(-3 + (-14)\/b). Suppose -3*v - 6*r + r = 0, h*v - 4*r = 0. Solve 1 = -p - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 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: Simplify ((f**3*f)\/f)**(-2\/13)*(f**(3\/5))**(1\/42) assuming f is positive.\nAnswer: f**(-407\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 471*y - 861 wrt y.\nAnswer: 471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*z - 4*z. Let r(d) = 3*d**2 - 18*d - 2. Let b(j) = j**2 - 4. Let n(o) = 2*b(o) - r(o). What is the tens digit of n(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203644363.9999943 + -203644431. Let y = -12 + 79. Let d = o + y. Round d to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -335 - -335.078. Let z = k + 0.022. Which is smaller: 28.7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 76, 124 in ascending order.\nAnswer: 9, 76, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 351*o + 30194. Give v(151).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 + 18*p**2 + 13*p + 2. Let s(f) = f**3 - f - 1. Let m(u) = -n(u) + 3*s(u). Let h be m(-8). Sort -2\/23, h, 4\/5 in ascending order.\nAnswer: h, -2\/23, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {l: 1, z: 2, e: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3\/(d*d*d\/(d*d*d\/(d**(-8)\/d)))*(d**(2\/7))**(8\/13)*(d**(-2))**(-12)\/(d**1)**(-31) assuming d is positive.\nAnswer: d**(6113\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 - t**3 - 4*t**2 - t - 2*t + 5*t. Let p be v(3). Suppose 0 = 4*n - p*n + 24. What is the smallest common multiple of n and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55090 * 0.061\nAnswer: 3360.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466 + 2212 - 2*o**3 + o**2 + 53*o**3.\nAnswer: 51*o**3 + o**2 + 2678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32407 (b) -2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrc when three letters picked without replacement from rcnccrrrnrrnncrn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 2 - 6 + 9.\nAnswer: 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3542 and 98142.\nAnswer: 15800862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 15. Let d(u) = 2*u**2 + 6*u. Let r be d(-4). Let p = r - 4. What is the remainder when h(0) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 58389968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**2 - 17*x + 6. Let w(a) = a**2. What is -i(r) - 5*w(r)?\nAnswer: r**2 + 17*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 3*l**2 + l - 4. Let q be b(-2). Let f be 1 + q - 8\/(-6)*3. Factor 0 - 1\/3*v**2 + 0*v - 1\/3*v**f + 1\/3*v**5 + 1\/3*v**4.\nAnswer: v**2*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p**2 + 23*p - 1. Let c(d) = 5*d**2 + 11*d. Let a(w) = 13*c(w) - 6*i(w). Calculate a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 24 - o**2 + 3*o**2 - 58 + 28 to j*o + q + p*o**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by 7.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 687353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -2*x**2 + 1\/24*x**6 + 0*x**4 + 0*x + 0*x**5 - 5\/6*x**3 + 0. Find the first derivative of z(j) wrt j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 12*x**2 + 11*x - 3. What is m(-13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -56*u**2 - 1. Let l(c) = c**3 - 9*c**2 + 18*c - 1. Let w be l(6). Let m(r) = 1. Let o(v) = 2*v - 2. Let y(h) = w*o(h) - 2*m(h). Calculate s(y(k)).\nAnswer: -224*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911572?\nAnswer: 2, 13, 36761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 6. Let q be u(-6). Suppose 5*d + 322 + 503 = q. Let g = d + 280. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/11)\/(r**4\/r)*r*r\/(r\/(r\/(r**(-1\/2)\/r)))*r*r**6*r assuming r is positive.\nAnswer: r**(183\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/3476466 and -41\/386274.\nAnswer: 3476466","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a microgram in nanograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309870 divided by -51645.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 36*y = -33*y - 63, 3*y = -3*n + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 8*c - 3370. Suppose 0 = 2*n - 3*b - c, -3*b = 2*b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.42690662?\nAnswer: -0.32690662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -z + 15, -3*c - 3*z + 8*z - 40 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 1:18 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8045*w + 19. Let f be r(-1). Let o(h) = -8064 + 26*h + f. Let u(m) = 4*m**2. What is u(o(i))?\nAnswer: 2704*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6378\/22297 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 616, -2, 56, 2 in ascending order.\nAnswer: -2, 2, 56, 616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/12 and -57\/272.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - 212021?\nAnswer: -211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a59 + 0?\nAnswer: a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3922245 is divided by 1242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990 divided by -114?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgkkkeek. Give prob of sequence kge.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -19. Let k be (m - 2) + 0 - 13. Let f = k - -25. What is the remainder when 27 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-2)\/sqrt(12) + -4 + 0 + sqrt(5) + sqrt(720) + 0)*5.\nAnswer: -20 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide ((-2)\/(-5))\/((-16)\/(-2720))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2861, -5719, -8577, -11435, -14293, -17151?\n\"Answer: -2858*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 8*l**2 + 19*l + 4. Give v(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 57 = 3*x, -2*x = 5*t - 75 - 26. Suppose -3*w + 0*w = -2*k - t, 3*w - 12 = -k. Let h = 3 - 3.5. What is the smallest value in h, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2261)\/(-3230)*((-24)\/(-14))\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - sqrt(275)*-2*3) + sqrt(275) + (sqrt(275) - sqrt(275)*-2*5))**2.\nAnswer: 99275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4 + 6*n**3 + 142*n**2 + 354*n + 220 = 0.\nAnswer: -5, -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 50.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**4*u**2 + 1468*q**4 - q**3*u - 542*q**2*u + 37*q*u**2 wrt q.\nAnswer: -120*q*u**2 + 35232*q - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 + 5476307*c - 27381536\/5.\nAnswer: (c - 1)*(c + 27381536)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 25 + 25)*(0 + 1 - 3)*(1 + 1 - 11) to the form t + w*j and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -12 - (2 + 11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-8)*(-4)\/24*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25184931 is divided by 261.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1090*r**3 + 0 + 222*r**2 - 1091*r**3 in the form k*r + p + h*r**2 + t*r**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13\/38)\/(6 - 240\/45) and -63\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-72)\/(-21600))\/(4\/16).\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113930, 113932, 113936, 113942, 113950, 113960, 113972?\n\"Answer: z**2 - z + 113930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndv when three letters picked without replacement from {n: 2, v: 1, w: 1, d: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/120 + q**5\/15 - q**4\/8 + 2*q**3\/3 + q**2. Determine n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1153 + 2607. Suppose 7*q - 12924 = v. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddjdtddjtd?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59133 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/((-2940)\/29600) + 6\/14. Let p be ((-1)\/(-2))\/(2\/44). Calculate the common denominator of -21\/2 and w\/(-8) - p\/(-88).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -95*z**4 + 250*z**3 - 35*z**2. Let b(s) = -8*s**4 + 21*s**3 - 3*s**2. Let c(x) = 35*b(x) - 3*f(x). Solve c(o) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -296 (b) -13 (c) 379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.7 - -4.7. Let l = -18.4 - r. Let y(j) = j + 12. Let t be y(-11). Which is the third smallest value? (a) l (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 2*t**3\/3 - 11*t**2\/2 + 7*t - 544. What is n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1730633 and 1438?\nAnswer: 3461266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -7. Let d(l) = l**2 + 6*l + 8. Let o be d(-8). Let h = o - g. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {o: 1, r: 1, p: 2, n: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.57983 rounded to 0 decimal places?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188826611 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20378770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 798331395 to the power of 1\/2, to the nearest integer?\nAnswer: 28255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4 and 79\/85640.\nAnswer: 85640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5 - 1240069*r**3 + 2*r**2 - 3378*r - 212 wrt r?\nAnswer: 120*r**2 - 7440414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.6. Let i = 0.1 - x. Which is the nearest to 0.1? (a) -5\/3 (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 5*w + 3. Let g be -6 + 1\/(-5)*-5. Let f(t) = -t**2 - 4 + 6 - 2*t - 1. Give g*f(v) + 2*i(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 + -42 + 7 + 0 - 11) + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142506080 and 3040.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 24968*n\/3 - 16644.\nAnswer: -(n + 2)*(n + 24966)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 428\/18 - 4\/(-18). Suppose 3*w + n = 6*w. Suppose f = -2*s + w + 1, -3*f - s = -37. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101550.\nAnswer: 2, 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 2?\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 - 9*a. Let f be g(-7). Let t = 973 - f. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*o**3 - 10*o**3 - 10*o**3 + 0*o**2 + 3*o**2 - o**2.\nAnswer: 65*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 2 - -1)\/((-1)\/8). Suppose -288 = -j*w + 176. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:29 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-37)*j)\/j)\/((j**38*j)\/j) assuming j is positive.\nAnswer: j**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 - -83. Suppose 2*g - 13 = 20*h - 17*h, -3*g = -2*h - 17. Which is the closest to h? (a) 1\/6 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 + 0*j**2 + 2*j**2 - j**2 + 0*j**2 + (-2*j**2 + 0*j**2 + 4*j**2)*(1 + 3 - 6) + 3*j - 3*j + j**2)*(j + j**3 + j**3 + 0*j).\nAnswer: -2*j**5 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10469454?\nAnswer: 2, 3, 83, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 2*k + 2, -3*c - k = 1. Suppose c = -6*o + 4*o. Solve o = 6*q - 9*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 2*j - 15, -l = -j. Solve -10 = -l*z, -2*i - 2*z = -6*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 4*x + 12. Let c be (-58)\/(-145) - 36\/(-10). Let j(g) = -g**2 - g - 3. Let y(i) = c*j(i) + b(i). Let q(k) = 217*k**2. Give y(q(r)).\nAnswer: 47089*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:40 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 + -3 + 4 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4241a + 2?\nAnswer: -42418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) + (-330)\/(-50) - 4. Is ((-9)\/x + 3)*205866\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -41459?\nAnswer: 9\/41459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287898449.\nAnswer: 317, 908197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m + 1. Suppose -7 = -5*d - 2. Let i(g) = g - 2. Let o be i(d). Calculate the remainder when 48 is divided by l(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-336)\/34 - 14\/119. Let u = 16 + f. Let q be 74\/3 - (-2)\/(-3). Calculate the highest common factor of q and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-1 - (15 - 19)) + (5 - -1) - -73.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let v(s) be the second derivative of 59*s**4\/6 - s + 305. What is h(v(o))?\nAnswer: 118*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 2.8 (b) 8 (c) 1 (d) 3.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-16) - (-3)\/(-12). Solve 3*y - 4*y - 4 = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18493, 37224, 55955, 74686, 93417?\nAnswer: 112148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7902468 (base 10) to base 2.\nAnswer: 11110001001010100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/4)\/(81\/14004). Let f = -283885\/468 + j. What is the common denominator of -25\/14 and f?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 16 + 24 - m.\nAnswer: -m + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103964.\nAnswer: 2, 3, 91997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*v - 11*v. Suppose 0 = -3*q - 3*t + 6, -v*q - 5*t = -9*q - 10. Solve k - 4*k - 3 = q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/50985932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -5976 + 5983. Let x(g) = 0*g**3 + g**3 + 2*g**3 + 2. Let y(w) = -10*w**3 - 7. Determine c*x(u) + 2*y(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 6*z - 12. Let i be t(-9). Let j = i + -53. Which is smaller: j or -172?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-12)*32\/(-6). Suppose -8*n + 6 = 78. Let a be -2 - (1 + n) - -1. Is b bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-70)*1764\/(-3969)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 2783, -1 in decreasing order.\nAnswer: 2783, 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -3\/43, 0.2, -4 in descending order.\nAnswer: 0.2, -3\/43, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1192962 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-252))\/((650\/(-385))\/(-13))?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 16465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 5}. Give prob of picking 2 f and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 2) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y - 14. List the prime factors of t(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554141867 to the power of 1\/2, to the nearest integer?\nAnswer: 74526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.9 (b) 0.3 (c) -2\/29 (d) 1187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let l = k + -4. Suppose s - 3*s + 5*q + 43 = l, -2*s + 2*q + 40 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7956921 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:06 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (739708\/(-114))\/(2\/(-6)*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1434 divided by -239.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4636.07622 take away -41?\nAnswer: -4595.07622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1531.5 - -2475. Round p to the nearest 10.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (314915*t + 7 - 314925*t - 3 - 8*t**2)*(-2*t - t + t) as i*t + z*t**3 + j*t**2 + v and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*u - 1117, -369 = 4*a - 3*u - 1897. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 23*u**2 + 24*u - 18. Let k be b(24). What is the common denominator of (1 - (-22)\/k) + 1518\/432 and 97\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/17 (b) 0.275 (c) 5 (d) -7\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128975\/13 - 9921. Sort u, 0.5, -2, 5, 963.\nAnswer: -2, u, 0.5, 5, 963","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 369 - 30. Let v = -5515\/14 - d. Calculate the common denominator of v and 62\/20 - (1 - 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -135\/242788 and -11\/32522?\nAnswer: 24521588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/8*-5 - 9) + 85474. What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -649, -976, -1301, -1618?\nAnswer: -1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 4. Suppose 0 = -c*j + 2*j - 4*a - 38, -9 = -j + 3*a. List the prime factors of 63\/(-6)*4\/j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 498949 and 265384?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -833.1833 times -18\nAnswer: 14997.2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1347 + 1359. Solve -5*a + 5 = 5*v, 3*a - 10 = -8*v + f*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 2*z - z + (3 - 2 - 2)*(-2*z + z + 2*z) + (-2*z - 2*z + 7*z)*(-3 + 1 + 0 + (5 - 4 + 7)*(-8 - 15 + 12))*(0 + 3 - 1).\nAnswer: -543*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 60*y + 609. Calculate z(-14).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6) + (-29)\/6. Which is the third biggest value? (a) -4 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1186072959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x**3 + 7*x**2 + 161*x. Let q(o) = -6*o**3 + 4*o**2 + 80*o. Give 4*b(d) - 7*q(d).\nAnswer: -2*d**3 + 84*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1992534, -1992533, -1992532, -1992531, -1992530?\nAnswer: -1992529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 24.4. Let v(p) = -p**2 + 6*p + 22. Let b be v(9). Let g be 2\/(8*-3)*3. Put b, 1, g, z in increasing order.\nAnswer: b, g, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = 4*p. Let u be -3 + 0 + 0 + 6. What is the third derivative of 3*n**3 + n**2 + 2*n**p - 4*n**u wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*b - 1515831 - 1452142 = -632649. List the prime factors of b.\nAnswer: 2, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2063\/3 + -687. What is the second smallest value in 9, q, 77?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 703978 and 0.2.\nAnswer: 140795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 676\/561545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 135307 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3456*b**4 - 2668.\nAnswer: -13824*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 9, 3\/7 in increasing order.\nAnswer: 3\/7, 9, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13685.4 + 13685. Let y = 119\/9 - 13. Which is the fourth biggest value? (a) n (b) 3 (c) y (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1284 divide 4412333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -248*z**2 - 376 wrt z?\nAnswer: -496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 7. Differentiate -2 + j**s - 1 + 1 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/572456 and -43\/1144912?\nAnswer: 1144912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. What is the second derivative of 0*h**3 + h - 3*h - h + 2*h**y wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 1)*(2 + 0 + 1) + (-1 + 3 + 0)*(-2 + 6 - 3) + 16 + 7 + 54)*((3 - 2 + 2)*(4*v + 2*v + 5*v) - 5*v + 4*v - v) to s*v + b and give s.\nAnswer: 2263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 282*y - 827*y + 9265 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3361 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -644 + 12881\/20. Find the common denominator of y and -37\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:45 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -10?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -303 + 290 + 2*z**3 + z - z**3 as l*z + y*z**2 + o*z**3 + w and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-8) + (-2)\/(-8). Suppose 0 = 5*u - 5*m - 10, u - q*m - 8 = -2. Is (49 - 4) + 2 + u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 8 + 8)*(-2 + 99 - 51)*(0*c + 9*c - c).\nAnswer: 2208*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1753 and -0.407.\nAnswer: 713.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-37.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57.8 + 57.337. Let k = 14.537 - n. What is the biggest value in -0.05, 2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299 + 11*p + 73073*p**2 - 73080*p**2 - 11*p to y + r*p + g*p**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 2:14 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 184596 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1070*f**2*z + f*z + 3*f - 2*z wrt f.\nAnswer: 2140*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3\/2, -4, -5 in descending order.\nAnswer: 18, -3\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:58 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 11118?\nAnswer: 88944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1893 = 88*v - 45 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103800 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 35302.61883 to zero decimal places.\nAnswer: 35303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 9. Let v be 5*(24\/g)\/(-4). Solve v*a + 17 = -s, 4*a + 37 = -4*s + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -12, 519, -41.\nAnswer: -41, -12, 46, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3\/2761, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l - 1. Let q be s(-6). Suppose 0 = -q*h + 14 + 1. What is the lowest common multiple of (-3)\/(h\/(-3)) - -17 and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0 - 41\/35*o**5 - 63*o**2 + 0*o**3 + 0*o - 1\/21*o**4. Factor h(i).\nAnswer: -4*i*(123*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - i + 1. Let q(f) = -2*f**3 - 5*f + 2. What is -q(t) + 2*z(t)?\nAnswer: 4*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 35. Give h(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5\/4, 0.3, -25, 1\/3, -1\/23?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 18*v**2 - 58*v. Let l(q) = 841*q**2. What is i(l(b))?\nAnswer: 12731058*b**4 - 48778*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -121.\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -124437.91679 take away 0.67?\nAnswer: -124438.58679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17086 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = y. Let p(f) = y - 2 - 5*f. Let n(g) = -2*g**2 - 3 + 3. Determine n(p(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q - 3*q)*(q + 2*q**4 - q) - 40315*q**5 + 3*q**2 - 37732*q**5 + 74119*q**5.\nAnswer: -3932*q**5 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -36. Let y(g) = -g**3 + 5*g**2 - 3*g + 1. Let f be y(5). Let p = f + a. 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: Expand -4*t**3 + t**3 + t**3 + (4 - 4 - t**2)*(6 + 4*t - 6) + 2 - t**3 - 2 + (2 - 2 - t)*(-3 + 3 - 2*t**2) - 7 + 3*t**3 - 2 - t**3.\nAnswer: -3*t**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 798.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 80\/(-75)*6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 7*a - 7. Let l(d) = d + 1. Let b = -20 + 19. Let s(g) = b*m(g) - 5*l(g). Let v be s(-6). Calculate the greatest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-4))\/((-4)\/(-80)). Suppose -4*p + 70 = -3*c, -f*p + 11 = 2*c - 88. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -80*m + 3195. What is a(40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y**3 - 2*y**2 - y. Let a be g(-1). Suppose 0 = a*p - 5*p - 1290. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.07472296 rounded to 3 decimal places?\nAnswer: 32.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3180 and -77\/3816?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*c*r**2 + c*r + r - 10 wrt r?\nAnswer: 490*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (116\/5)\/((4\/20)\/1).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 859330.702865 and 0.45?\nAnswer: 859330.252865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 143*k**2 + 984*k + 4359. What is b(-136)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*t + 12 = -19, -2*c + 2*t - 16 = 0. Let x = c + 10. Does 7 divide (-1)\/((0 + x)\/(-27))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 0*p - 4*p)*(706 + 3*p - 706) as q*p + y + w*p**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2*-6 + -4.\nAnswer: -4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/16 and 396\/(-352)*(-12)\/(-7)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.5 - -104. Let s = -27.5 - p. Let h = 0.26 - -0.04. What is the biggest value in h, -13, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -30*f. Let l(o) = -5*o. Let p(r) = 25*l(r) - 4*z(r). Let j be p(5). Let q = j + 40. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, 515765, -2\/7, 5, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 6. Let d be t(5). Let k = 2083069\/55 + -37875. Let r = 6\/5 + k. Which is the closest to -1? (a) d (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**4\/3 - 7*o**3\/6 + 8*o**2. Let b be i(-2). Suppose q - 5 - b = 0. Calculate the remainder when 96 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2034*p**2 - p - 2032*p**2 + p + 4065*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -14. Let s = -4.92 - 0.08. Sort s, -0.2, w in ascending order.\nAnswer: s, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2*-150*(-50)\/(-875).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6201, -6203, -6205?\n\"Answer: -2*m - 6199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 at most as big as -956\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2738 - 2737. Let p(r) = r - 10. Let i be p(6). Sort i, 0, -0.22, y.\nAnswer: i, -0.22, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -4) + 6 + (-1398)\/56. Let n = z + 138\/7. Which is the closest to -8\/7? (a) n (b) -1 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {o: 5, i: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1068, 3\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 - (-25 + 14 - -7 - -6 - -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6843952 and -97\/710828.\nAnswer: 1361946448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/(11\/(385\/(-63)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-33))**1 assuming x is positive.\nAnswer: x**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-46)\/(-8) - 0. Suppose -5*o = -4*y - 26, -y + 5*y = 2*o - 20. Factor 0 + 0*l - j*l**o - 3\/4*l**3.\nAnswer: -3*l**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/233 - -8182\/2097. Let z = 171\/5 + -40. Calculate the common denominator of z and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 8.2\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1508 - -15910?\nAnswer: 14403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428674 divided by 6?\nAnswer: 404779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 24*f. Let l be 42 - (-6 - (-3 - 2)). Let b(n) = 46*n**2 - l*n**2 + 0 + 0. What is w(b(j))?\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.59171757 to one dp.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.78, -3\/2, 1, -1, -2\/21, 0.16, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-41)\/(-8) - (-4)\/32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -23*c - 2. Differentiate 25 - 48*n**c + 4*n**2 + 3 - 3 wrt n.\nAnswer: -88*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*(p**(-7)*p*p)\/p)\/p)**11 assuming p is positive.\nAnswer: p**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2093869 (base 10) to base 2.\nAnswer: 111111111001100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.25 and -27.\nAnswer: -26.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-8)\/4)\/(3\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m)*(15*m - 20*m + 8*m - 4*m**3).\nAnswer: 4*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 - 2*m - 6. Suppose 2*k + 3 - 23 = 0. Suppose 10 = -5*i - k. Let b(r) = -11*r**2 + 4*r + 11. Calculate i*b(z) - 7*f(z).\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.7 + -373.3. Let r = y + 408.00207. What is r rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.94 + -16.05. Is a at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 24\/11 (b) 4 (c) 3428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**4\/g*g\/((g**(-3)\/g)\/g))**(-5\/9))**40)**(17\/3) assuming g is positive.\nAnswer: g**(-34000\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -301 - -726. Suppose -50*s - h = -55*s. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from oyodydfyyodndonyooyy?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -12.948. Let x = -0.08 + c. What is x rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 167.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2464974*v**5 + 69*v - 28334 wrt v.\nAnswer: 49299480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -0*n - 10*n + 80 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 10*y - 13*y - 1 - 2*y**2)*(-2*y + 3 - 3).\nAnswer: 4*y**3 + 6*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054166188 to six decimal places.\nAnswer: -0.005417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + -2.9. Let j = -6.8 - -10.8. Let h = j - 2. What is the second smallest value in 0.04, y, h?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56927 and 218399?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000163411132 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**2 - 28*m**2 - 6*m**2.\nAnswer: -61*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 608.0008145 - 608. Round y to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -764 - 196. What are the prime factors of (-9 + 15\/3)*b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 - (8 + 18 + -20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 33*m**2 - 21*m**2 + 0 + m + 50*m**2 + 6.\nAnswer: (m - 3)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16862 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: What are the prime factors of 48581011?\nAnswer: 48581011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-3) - (-5)\/(-15). Let u(s) = 18*s + 52. What is the units digit of u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -278 and -1244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4 + 13)*(2*k**5 - k**5 + k**5).\nAnswer: 46*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t**4 - 64*t**3 - t**2 + 15097*t wrt t.\nAnswer: 84*t**2 - 384*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 32*d + 5*d. Solve 11 = -d*u + 3, 3*u = -x - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -248? (a) -1\/4 (b) -1648 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 54*q + 8. Calculate s(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 8:19 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 18*a**2 + 21*a - 38. Let t be r(19). Suppose t = 7*s - 2611 - 343. What are the prime factors of s?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*v**2 - 5*v**3 - 3*v + 5*v**3 - 3 + v**2 + 11*v**4 + 0*v wrt v.\nAnswer: 132*v**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**2\/2 + 1. Let j = 1 - -2. Let u(g) = g**2 - 4*g + 1. Let b be u(j). Let v(l) = l + 1. Calculate b*v(h) + n(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -0.02, -107\/3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.6 and 2.2.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 399\/(-45) - (-180)\/20.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 2)*(-24333 - 154*o + 24333)*(2 + 2 - 1) as x + z*o and give z.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i. Suppose -2*z - z + 27 = i. Suppose 0*f - f = -z. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 53*z + x - 1541, -3*z + 19 + 80 = 3*x for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/17 - 190624*l**2\/17 + 190630*l\/17 + 381252\/17 = 0. What is l?\nAnswer: -95313, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 12*q + 13. Let x(b) = 6*b**2 - 84*b - 90. Let r(h) = -27*t(h) - 4*x(h). What is p in r(p) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*r**2 + r**3 - 3*r**5 + 70*r**2 + 16*r**2 + (-5*r**2 - r**2 + 2*r**2)*(3 - r**3 - 3).\nAnswer: r**5 + r**3 + 47*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 1, e: 2, z: 1, a: 1, g: 1}. Give prob of sequence nage.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-95)\/20 + (-4 - -9))*0)\/(-2). Solve -3*h - 163 = -p - 167, j = 2*p - 3*h + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799 = 6286*q - 6269*q, -3*j + 3*q - 144 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -3\/5*k**5 + 31 - 12*k**2 + 2\/15*k**6 + 22\/3*k**3 - k**4 + 2*k. Find u, given that y(u) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*k - 1426 + 1455 = 0, -7*k = -o + 43 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlnglllnnlgln. What is prob of picking 1 l, 1 n, and 1 g?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*w - 211 = -41 + 136. Let f = -2\/9 - -13\/18. Which is the second smallest value? (a) f (b) -4 (c) w (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*k**3 + 232*k.\nAnswer: -966*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czczpccccczzzp. What is prob of picking 2 z?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221284 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.86782g to kilograms.\nAnswer: 0.08586782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -248, -0.3, 0, -1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.1, 0.2, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2623, -2689, -2755?\nAnswer: -2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 3*m - 3*m)*(-m - 3*m + 3*m) + 4*m**4 - m**4 - 2*m**4 - 1 - m**4 + 3 + 2*m**4.\nAnswer: -m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 4*t - 21*t)*(3 + 2*t - 3)*(2 - 3 - 1).\nAnswer: 116*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.1. Let o = -3.4 - -7. Let k = z + o. Which is the biggest value? (a) -0.4 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1323057.800023 + 1323052.4. Let l = 27.8 + -22.4. Let j = b + l. What is j rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3690*u**4 + u**3 - 1862*u**4 + 13561*u**4 + (-5*u + u + 2*u)*(-u**3 + 4*u**3 - 2*u**3) to the form x*u**4 + g*u + b + n*u**2 + z*u**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/6 + 268250*x + 1609495\/6.\nAnswer: 5*(x + 1)*(x + 321899)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -61.6.\nAnswer: 18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2089 and 470944160.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1 + 0 - u**2 - u - 8*u. Let g(d) = d**2 + 10*d + 1. Let v(i) = -i - 11. Let a be v(-5). Let p(s) = a*y(s) - 5*g(s). Determine p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36580 + 11220 = 22556*o - 23034*o for o.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*w + 400 = 8*w, 2*l = -4*w + 158. Let c be -81 + 17 + -6 + -7. Let x = c + l. Solve -x = 3*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439701802 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62321.\nAnswer: 7, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020 a factor of 1032490933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8584 and 7764968?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(((-5 + sqrt(475) + 1 + sqrt(475) + 5)*-2 + 4)*-4)**2.\nAnswer: -6400*sqrt(19) + 608320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9999 is divided by 207.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 728948\/(-33134)*1\/(4\/10)*2\/(-10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**3 + 14*z**2 + 17*z + 8332. Let w(k) = 4*k**3 + 5*k**2 + 6*k + 2777. Let q(h) = 8*w(h) - 3*x(h). Let d be q(0). Round d to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -107. Let f = 333 - 339. Sort 1, a, f, -1 in descending order.\nAnswer: 1, -1, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 92*u**2 + 2*u + 1. Is k(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 7*k - 122 = 0, 4*m + 61 + 11 = 5*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-1))\/(-4))\/((-77)\/(-11))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, 2\/27, 5, -615?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 8. Let t be d(0). Suppose -5*k - t = -i, -i + 0 + 2 = k. Solve -i*o + 7 = 2*g, 3*g = 22 - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 3:27 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*f**3*k**3 + 5*f**3*k**2 - 133*f**3*k + 49*f**2*k - 470*k**3 wrt f?\nAnswer: 330*k**3 + 30*k**2 - 798*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 94. Sort 18, m, 4.\nAnswer: m, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 3*s)*(-61*s**4 + 78*s**4 - 54*s**4).\nAnswer: 74*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d**2 + 7*d - 13 - 19\/5*d**5 + 0*d**4 + 0*d**3. What is the derivative of r(q) wrt q?\nAnswer: -76*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 29 = 5*o, 5*o - 2*a = 3*o - 12. Let w = o + 8. Suppose -w*b + 18 = -0*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464977, -464964, -464937, -464890, -464817, -464712?\nAnswer: -464569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - -5*(-6)\/15. Suppose -3*z = -0*z - z. Suppose z = -2*c - r + 8. Solve 5*q = c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367717?\nAnswer: 7, 131, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (77\/(-22) + 1)*(-1820 + 0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1945, -4\/3, -0.3, 82, 4, 2\/7 in decreasing order.\nAnswer: 1945, 82, 4, 2\/7, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -18 (b) -5 (c) -29 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-12 - -23 - 19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 11. What is r(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 11011176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-15)*(-20)\/(-6). Let v(c) = c**2 + 3*c + 3. Let b be v(-3). Find the second derivative of -y + b*y**3 - y - j*y**3 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095423149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - (-7 - -4) - (-3 - 11) - (7 + -10).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i - 29 = -79*i - 7*y, -y + 5*y = -5*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/7))\/z*z)**43\/(z**(-2)*z*z**(-4)\/z) assuming z is positive.\nAnswer: z**(257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 87 = 6*t, -8*q - 2*t = -6*q - 0*q - 22 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/4 - ((-901)\/34 + 26).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/11 (b) -5 (c) -136 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16943943 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/252096 and -59\/1584.\nAnswer: 8319168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 4*z - 3. Let p be u(-2). Let j = -21\/4 - -5. Which is the closest to j? (a) -1\/4 (b) 3\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((19806\/8)\/(-3))\/((-18)\/72). Suppose -185 - z = -7*o. List the prime factors of o.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let j(v) = 1569268*v. Determine p(j(q)).\nAnswer: 1569268*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -10*k - 2*k**4 + 0*k**2 + 0*k**5 + 0*k**6 + 48 + 3\/7*k**7 - 2\/3*k**3. What is the third derivative of x(s) wrt s?\nAnswer: 360*s**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p - 201. Determine u(-4).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -367, -1364, -3369, -6730, -11795, -18912, -28429?\nAnswer: -40694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28272 + 28308. What is the lowest common multiple of 1572 and r?\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/6 - (-2)\/(-4). Suppose 5*l - 6 = 2*u, r + 6 = 2*l + 4*u. Suppose 0*q + 64 = l*c - 3*q, 5*q = 0. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let o be 29 - m\/((-12)\/8). Suppose -4*q + 103 = o. Solve 5*k + 2*c - q = 0, -k + 5*c = 4*c - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5427 + a + 5427. Let t(g) = 3*g. Let j be (1 + (-4)\/(-6))*-3. Determine j*s(r) + 2*t(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4196*v + 5579 - 229191 - 53324 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 193, 644, 1525, 2980, 5153, 8188, 12229?\nAnswer: 17420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 4, k: 9}. Give prob of picking 2 k.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 11:01 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132183, -132177, -132171?\nAnswer: -132165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 164 - 78*z**3 + 7*z**2 - 4*z**2 - 141. Is w(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -16*d**3 - 3*d**2. Let s(z) = z**3 - z**2. What is -3*s(x) + w(x)?\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s + 42*s + 37*s - 3*s**2 + 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/2 - 956068*w**3 + 457030142099*w**2 + 2742206666484*w + 8226645813369\/2 = 0. Calculate w.\nAnswer: -3, 956071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -103 (b) -2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1798 = 1422. Let z be (0 + 21\/(-18))\/(21\/(-504)). Calculate the highest common factor of z and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13974265 less than -1021?\nAnswer: 13973244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55, -93, -131?\n\"Answer: -38*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -560*v + 565*v + 14, 20 = -5*v + 5*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2 (b) -52 (c) -1\/6 (d) 10.2 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 2:22 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60419\/12 < 5035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.7, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*a - 8 = 0, -6 = 2*b - a + 5*a. Suppose 3*v + 0 = 2*c + 1, -37 = 5*c + 4*v. Let w = c + b. Solve -5*d - 10 = -f, w*f = -3*f - 4*d + 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -319998 = -320000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 74*s**7\/21 - s**4\/12 - 44*s**3 - 24*s**2 + 11. Find the second derivative of h(u) wrt u.\nAnswer: 8880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 944 and 3068.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 1 - 2)*(h + 2*h - h) - h + 2*h + 7*h)*(3 - 3 + h) to b + c*h + t*h**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m*s**2 + 91*m + 89302*s**2 - 2*s + 312971 wrt s.\nAnswer: 6*m + 178604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3300 + 111131203?\nAnswer: 111121303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*u = 93*u. Let q = 10 + -2. Let c = q - 4. Solve c*b - 5 + 25 = u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.7886834 rounded to 2 dps?\nAnswer: 18.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 10*h**2 - 71*h + 99. Let r be y(3). Let d(z) = -z**3 - 11*z**2 - z - 7. Give d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -n + 2*y, y = n - 4*n + 307. Let p(l) = l**3 + 5*l**2 - 4*l - 6. Let w be p(-6). Let t = n - w. Does 40 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1245*f - 406. Let m(p) = p - 55. Let s(q) = -2*m(q) + y(q). Find the first derivative of s(b) wrt b.\nAnswer: -1247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65086 and 785681?\nAnswer: 10999534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 689976 and 1008?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/159 + -191\/636. Let w = 17.8 + -16.8. What is the second biggest value in 0.1, w, n, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5739, -6305, -7237, -8529, -10175, -12169?\n\"Answer: l**3 - 189*l**2 - 6*l - 5545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 743.4336ng?\nAnswer: 0.0007434336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*a = 2, -4*k - 40 = 5*a - 46 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 84dce - -2?\nAnswer: 84dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:16 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 73 (b) 505 (c) -0.06 (d) 0.2 (e) 0.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-4) + (-1)\/(-2). Let k = 3.02 - 0.02. Let c = 8.3 - 7.8. Put j, c, k in descending order.\nAnswer: k, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4402 is divided by 202?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*d - 29, t + 17443*d - 22 = 17441*d for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 10. Let g be z(-5). Suppose g*c - 112 = 338. Is 400\/18 - 20\/c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*u + 4*u + 1343, -4*u + 5381 = -5*b. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nglglguulu. Give prob of sequence nuul.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 194? (a) 3 (b) -1 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let o be 1*(3 - 6) + (-3)\/(-1). Let h(n) be the first derivative of 2 + o*n + 1\/2*n**2. Determine s(h(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380.1083 millennia to months.\nAnswer: 4561299.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2, -0.1, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108268134 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 27. Suppose 5*q + x - m = 0, -5*q = -0*q + 3*x - 1. Solve 0*a - 4 = q*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7737792 divided by 6.\nAnswer: 1289632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10)**(1\/7)\/(s*s**(-3\/8)*s**11) assuming s is positive.\nAnswer: s**(-571\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -310508, -620979, -931402, -1241759, -1552032, -1862203?\n\"Answer: 3*h**3 + 6*h**2 - 310510*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 0 - (-7 - -4). Let p be (-60)\/52 - -3 - 2\/r. Let f = -2 + 1.9. Which is the smallest value? (a) -5 (b) 3 (c) f (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*h = -2*h + 46, -3*n + 112 = -h. What is the lowest common multiple of n and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11120122?\nAnswer: 11120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.68 to 1 decimal place.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27\/7 + -22\/7. Find the common denominator of (124\/(-48))\/((-3)\/2 - -3) and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 56?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46008553?\nAnswer: 46008553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 117. Let f(h) be the second derivative of 2*h**2 + 0*h**3 - 2*h + w + 1\/12*h**4. Differentiate f(q) with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let w = 2 + 0. Let x(o) = 4 + 3*o - 4*o - w. What is x(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-41)\/(-13) - 5\/(520\/16). Let x(n) = n**3 - n**2 - n + 1. Let f(z) = -5*z**3 + 2*z**2 + 3*z - 3. Determine w*x(c) + f(c).\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38083, 152452, 343063, 609916, 953011, 1372348?\n\"Answer: 38121*y**2 + 6*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 7*j - 3. Let d(k) = 4*k**2 + 6*k - 3. Let a(t) = -4*b(t) + 3*d(t). What is the remainder when 203 is divided by a(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(80)*2 - (sqrt(30)*-1)\/sqrt(6)) - (-4 + sqrt(5)*1 + -5 + (sqrt(55)\/(sqrt(11)*2 + sqrt(11)) - sqrt(5)))*-6)**2.\nAnswer: -3132*sqrt(5) + 7121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*l + 53*l = 2*m - 2869, 1147 = 2*l + m. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:26 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a - 57. Give t(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-13 - 3)\/2. Suppose 43 = p - 3*c, c - 165 = -4*p + 6*c. Suppose p = 4*z + 16. Calculate the greatest common divisor of l and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 1}. What is prob of sequence vv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -850, -1392, -2018?\nAnswer: -2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5274693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2869652 centuries?\nAnswer: 344.35824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a. Let v be x(1). Let p be v*(-2)\/(-6) - 0. Let z be -100000 + -1 + -1 + p. Round z to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(21\/(-105))\/((-266)\/35).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:12 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26161200 by 30420.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 875807 + -357?\nAnswer: 875440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:23 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15304*v**2 - 15301*v**2 + 61070*v**2 - 15305*v**2 + v**3 + v**3 - 15160*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 + 266. Solve 6*l - 2*l - c*v - 23 = 0, l = 5*v + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - (sqrt(1620) - (6*(sqrt(1620) - sqrt(1620)*-2) - sqrt(1620))) - sqrt(1620))*2)\/(((sqrt(72) - sqrt(72)*-1*4) + sqrt(72))\/(sqrt(200)*-2)).\nAnswer: -320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*n + 140*n - 3*j = 10, -16 = 6*n + 4*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 105446522?\nAnswer: -105446516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let j be 0 - (-1 + p) - -5. What is the first derivative of j + 2*x - x + 5*x wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + 330772?\nAnswer: 330737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217078 is divided by 72356?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*((0 - 0) + -1). Suppose -q*z + 19 = -65. Factor 50*f**4 - 12*f**2 - 46*f**4 + f + z*f.\nAnswer: 4*f*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 375.4 - 672.4. Is 3 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358260 is divided by 89349?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -28 - (-4 - (-1 + -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*(0 + 29\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/25*45\/(-567)*6\/(-4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = -2*a + 20, 0 = -2*a + 5*x + 10. Suppose -2*p + a = -0*p. Let c(b) = b**3 - 5*b**2 + 3*b - 2. Is c(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) -1 (c) -0.2 (d) 3.31 (e) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 735480, 735484, 735488, 735492, 735496, 735500?\n\"Answer: 4*l + 735476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jttt when four letters picked without replacement from {j: 1, t: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16133, 64589, 145343, 258389, 403721, 581333, 791219?\nAnswer: 1033373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1124, -1117, -1106, -1091, -1072, -1049?\n\"Answer: 2*d**2 + d - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 175, 175, 159, 121, 55, -45, -185?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14\/5 of a tonne?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 8)*(1 + 2)*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + (-4*(-1*(1 + sqrt(162)) + sqrt(162)) - -4*(-4 + -1 + sqrt(162) - sqrt(162)))))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:08 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u - 36. What is the remainder when 14 is divided by 1\/(-3) - 39\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6470, -12942, -19412, -25880, -32346?\nAnswer: -38810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -0.4, -8, -2\/97 in increasing order.\nAnswer: -8, -0.4, -2\/97, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 + 280*w**2 - 563*w + 282 = 0.\nAnswer: -282, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r - 62*r + 5*r**2 + 20*r - 4*r**2.\nAnswer: r**2 - 79*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**2 - 14*g**2 + 3 + 17*g**2 + (0*g + 0*g - 2*g)*(2*g - 3*g + 3*g).\nAnswer: -7*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 5*f**2 + 3*f + 23. Let c be r(-5). Does c = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -138 + 8?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -9, 2, -14.\nAnswer: -14, -9, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -206518 and 0.25.\nAnswer: -51629.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -227900 + 5?\nAnswer: -227895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 53*c - 1048. Let x be r(20). Solve 4*s = x, 3*v = -7*s + 2*s + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 14*u - 33. Let c be o(6). Sort c, -6, -1 in increasing order.\nAnswer: -6, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let o(l) = l. Let j(x) = 4*x. Let n(i) = 2*j(i) - 9*o(i). Give p(n(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + ((sqrt(539)*1)**2 - sqrt(539) - sqrt(11)).\nAnswer: -8*sqrt(11) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from {k: 3, o: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-17)\/2)\/((-33)\/4422)?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 1\/((-2)\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 6. Let v(j) = 336622*j. Determine t(v(i)).\nAnswer: -226628741768*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -810408, -810406, -810404, -810402?\n\"Answer: 2*s - 810410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000677030739 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 48001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414961.5ms to minutes.\nAnswer: 6.916025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (34142 + (-276)\/23)*1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5248 from -864.1754897.\nAnswer: -864.7002897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1149009856 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c - 2 = -37*c + 26*f - 14, -4*c + 3*f = -0*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1011001111101100000 (base 2) to base 12\nAnswer: -1592a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32584101 (base 9) to base 13\nAnswer: -335b747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 925*h**2 - 930*h.\nAnswer: 5*h*(h - 186)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 3 - 159 = 9*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 130. Let a = -23.16 - h. What is a rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k - 9. Let u be d(-5). Suppose 0 = -26*r + u*r - 660. Suppose 0 = 12*o - 0*o + r. Sort -1, o, 4 in ascending order.\nAnswer: o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 + 348*b + 15138 = 0. What is b?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 2dfb04?\nAnswer: -2dfb0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 130111 (base 4) in base 8?\nAnswer: 3425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1 + 101 - (-10 + 11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28489.\nAnswer: 31, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2. Let r(b) = 271757*b. Determine i(r(d)).\nAnswer: 369259335245*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/16 - 538\/(-30128). Determine d so that -44\/7*d + 22\/7*d**2 - b*d**3 + 24\/7 - 1\/7*d**4 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/(q\/q**(-1\/2))))**(-45)*(q**0)**(-1\/11))**(5\/2) assuming q is positive.\nAnswer: q**(-675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 - 4*v**4 - v**5 + (5*v + 0*v + 11*v)*(-6*v**4 - v**4 + 4*v**4).\nAnswer: -49*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1665956 = 53830629. Let c be i\/13 + 4\/(-26). Suppose c = -4*l + 10012667. Round l to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 701676703 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 + 2.43863941632.\nAnswer: 3.23863941632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*a**2\/4 - 157*a - 9 = 0. Calculate a.\nAnswer: -2\/35, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Let m = -4 + t. What is the biggest value in -0.02, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 31*h - 108. Let k be i(27). Let n be 8\/2 + 0\/1. Let x = 7 + -19\/2. Put k, x, n in ascending order.\nAnswer: x, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 784 = -25*u + 4698. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/6 + (1 - 2*(-12)\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5810 (b) 4 (c) -7.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + g - 164 = 78, -5*d + 236 = -2*g. Suppose -4*x = -8*x + d. What is the smallest common multiple of 46 and x?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 30 + 575. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 13*v - 27. Let h be u(8). What is the third biggest value in 13, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/24 + 12*a**2 - 6. Let j(v) = 57*v. Give r(j(f)).\nAnswer: -57*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22604443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 3*c + 3, 5*u + 6 = 3*c. Suppose -5*o + 5*h + 30 = 0, 5*o - 2*h - 21 = -0*o. Sort o, 5, u in descending order.\nAnswer: 5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {u: 3, a: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -34\/3, 312 in ascending order.\nAnswer: -34\/3, -0.5, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r. Calculate the remainder when (31 + r)\/(3\/3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/6 + 78*j**2 - 2994*j + 15120 = 0 for j.\nAnswer: -504, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -1.13.\nAnswer: -7.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 - -301. Solve -3*p = -6, 5*o + 14 = 2*p - m*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 22 = -5*a. Suppose -2*s - 34 = -3*b, -8 = -3*b - a*s + 54. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2. Suppose 2*g = 5*d - 83, 2*d - 30 = -g + 5*g. Let h(x) = -x - 10 - 7 + d. Calculate p(h(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.958 + 0.042. Let c = 33.7 - h. What is the closest to 0 in c, -5\/3, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5114026 and -187.\nAnswer: -956322862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/(-18) + -4)\/(2\/(-24)). Suppose 95*t = s*t - 10. Suppose -i - x = -225, -t*i - 3*i + 1133 = -3*x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 628183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31b48 (base 15) to base 4\nAnswer: 212201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14870 is divided by 1085.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 2 + 2*v**2 - 2*v**2 - 2*v - v**3. Let o be p(-2). Let h = 46 + -47. Sort o, h, 1 in ascending order.\nAnswer: h, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230655?\nAnswer: 3, 5, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.325 - -59.325. Which is the nearest to 1? (a) 2 (b) x (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259*g**3 - 1 - 782*g**3 + 254*g**3 + 2*g + 244*g**3 - 4*g**2 to a*g**2 + d*g + q + p*g**3 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5. Is (i\/3)\/(3\/(-207)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30760 and 12880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 7. Let g(b) = 175*b - 1. Is g(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-12 - 0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 - 11*t - 50. Let d be j(-3). Let b(n) = 5*n**2 + 3*n + 3. Let u(x) = -x**2 - 1. Determine d*b(c) + 6*u(c).\nAnswer: -c**2 + 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*g + 26*g + 2828111 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 2)*30\/(-8). Suppose -108 = 2*x - 5*b - 33, -2*x + b - 55 = 0. Let m = y - x. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11426 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o - 1. Suppose -7*n = -n. Let v be n + 3\/(12\/(-8)). Suppose -5*y = -5*x + 35, x = -4*y + 3*x - 20. Let w(q) = 3*q. Give v*a(b) + y*w(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 + (1 - -3) + -4. Which is the nearest to 1\/2? (a) l (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 4. Let p be (-15)\/30*(-6 + -2 + 2). Determine s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 73751 + 8033. Let r = s - 81206. Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {s: 7, n: 10, d: 1}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 87\/5 (b) -131 (c) 4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52720 rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18586?\nAnswer: 2, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82907944 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*3*-1)\/(sqrt(288)*2 - sqrt(8)))**2.\nAnswer: 171\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1537358.43.\nAnswer: 4612075.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x - 4*x. Let k be (x\/4)\/((-1)\/(-10)). Solve 4*f = -4*b - 28, 3*b + 1 = 2*f - k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28818*g**3*n**2 - 31*g**3*n - 4*g**3 + 15*g**2*n**2 - 8*g**2*n - g*n**2 - 426*g*n + 2*g wrt g?\nAnswer: -172908*n**2 - 186*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3\/5, 9.2, -0.08, 5 in decreasing order.\nAnswer: 9.2, 5, 3\/5, -0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlmaptzpmmltpptaptp. What is prob of picking 1 m, 1 p, and 1 z?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g - 11. Let x = -88 + 92. Suppose 0 = 2*d + x*n - 3 - 91, -5*n = -3*d + 86. Calculate the remainder when y(9) is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.14481ml in litres?\nAnswer: 0.06614481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66b6 - 2?\nAnswer: -66b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*r - 2*r**2 - 27*r + 3*r**2 + 29*r.\nAnswer: r**2 + 59*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 18*l**2 - 19*l + 38. Let v be q(17). Suppose 202 = v*f - r + 2*r, 2*f + 4*r = 108. 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: List the prime factors of 174992126.\nAnswer: 2, 87496063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(495))\/(-6*sqrt(15)\/sqrt(3)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*s**2 - 4*s - 2 + 320*s**2 + 4*s.\nAnswer: -482*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10220312020 (base 5) to base 10\nAnswer: -10713385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (140\/8 + -2)*-2. Let h = -6 - c. Let z = -8 + h. Calculate the highest common factor of 85 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*p + 27, p = -5*k - 11 + 21. What is the remainder when 149 is divided by 513\/162*k*6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 6*u + 3. Let v be c(5). Let t = -2 - v. Let i be (0 + t)\/(2 + 0). Solve -5*x + 5*g - 20 = i, -4*x - g = 9 + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -3*x, -4*y = -3*y - 4*x + 9. Let t be y\/(21\/4)*3. Suppose 2 = -a - 0*f - 4*f, -3*a = t*f - 18. Is 0.2 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2505040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 + -1.3. Let g = 21 + -21.1. Which is the closest to 0.1? (a) 2\/3 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*u = 250*u + 296 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 11.5 (b) -1\/2 (c) 3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + 1.5. Let s = 0 + -0.1. Let p = -0.4 + s. What is the third biggest value in p, 0.1, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 3*u - 1. Let h be g(-2). Let t = h - -12. Is t equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-36*20\/(-45) + -2*1). Let o = 130 - 67. Calculate the highest common factor of v and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, p: 9}. Give prob of sequence vvp.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17018 (base 9) to base 16\nAnswer: 2da1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -260 - -440. What is the greatest common factor of r and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 15574830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 3*a**2 - a - 4. Let h be z(-4). Let n = -8 + h. Let x be (-582)\/(-48) + (-1)\/n. Calculate the greatest common factor of 48 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**7\/840 + i**6\/45 - i**5\/24 - i**4\/4 - i**3\/2 + 2*i. Let r(z) be the second derivative of v(z). Is 9 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*b = -94 + 62, -1105*s + 1106*s = b - 11 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001316541 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9 + 3 - 20*i - 2*i. Let t be o(-4). Suppose t = 4*x - 26. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 171 = -h + 3*h, 3*g = -h + 162. Suppose g*t**2 + 8*t**4 + 10*t + 65*t**3 - 8*t**4 + 20*t**4 = 0. What is t?\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*3 + -4)*-5 + 3 + 4 + 1)**2.\nAnswer: -7560*sqrt(17) + 310609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 4338.\nAnswer: 17352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h + 3*i = -98*h - 54, 4 = -i for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyydldjylfy. Give prob of sequence ddll.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 480*h - 16793. Give s(35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 - 7*v + 4. Let w = -1 - -8. Let p be l(w). Suppose -p*c + 65 = -19. Calculate the greatest common factor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2. Let h(i) = -i - 1. Let x(z) = 24*z + 27. Let t(b) = -54*h(b) - 2*x(b). Determine g(t(o)).\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + 1))*-6)**2 + -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(15\/6*(-11)\/(-55)). Let p(c) = 4*c**2 - 2*c + 3. Let u(j) = 3*j**2 - j + 2. Determine t*p(k) - 3*u(k).\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 26. Sort y, 3, -5, 1.\nAnswer: -5, 1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -11*q - 1\/2*q**3 + 1\/24*q**4 + 9\/2*q**2 + 0. Let w(n) be the first derivative of m(n). What is w(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, i: 5, n: 2, w: 5, q: 1}. Give prob of sequence iqw.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3 - 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/11 + 608*t**3 - 6691548*t**2\/11 + 167257760*t - 151354518050\/11 = 0. What is t?\nAnswer: 185, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -29 (b) -0.2 (c) 2 (d) 5.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 + 108. Suppose -q - 2 = 0, o*k - 170 = -4*k - q. Calculate the remainder when 170 is divided by k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70722 and 55006?\nAnswer: 495054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(1216) + sqrt(1216)*2 + sqrt(1216))**2) + sqrt(19) + 5.\nAnswer: -19451 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 1, g: 2}. Give prob of picking 1 h, 1 g, and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29ba - -87?\nAnswer: 2a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -144.9+0.02\nAnswer: -144.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 46 = 69. Let y = -55 - j. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 22392 = 45*p - 35*p. Calculate the remainder when p is divided by 1237.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*r = 7*r - 28, -2*r = -o - 6. Let z = 0 + 0. Let y = 0 - z. Solve -t - 2*u = -o*t - 8, y = -4*t + 3*u - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + -45286?\nAnswer: -45309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1728\/3360*(-14)\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1784880.5168.\nAnswer: -1784878.5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.00719 in -2, -1, 1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/25)\/v*v**(-27\/4) assuming v is positive.\nAnswer: v**(-791\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(2736)*1 - sqrt(2736)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**3 - 4*c. Let m(u) = -u**3 + u. Give h(o) + 4*m(o).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(220)\/sqrt(4)*-5)\/(sqrt(11) - (sqrt(495) + sqrt(55))\/sqrt(5)))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**7*w\/(w*w**7)*w*w**0*w**(3\/5)*(((w**(-2)*w)\/w)**6)**(6\/29) assuming w is positive.\nAnswer: w**(-2013\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 1 + 0)*(0 + 3 + 1)*(-272*a - 100*a + 86*a) in the form q*a + v and give q.\nAnswer: -5720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:14 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -258191 - -258232.9906. Let y = 194 + -152. Let n = y - a. Round n to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122613893.\nAnswer: 37, 1279, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (12\/(-9)*3)\/2. Let a be -1 - (-3 - -1) - -27. Let f(x) = -x**3 - 5*x**2 - 7*x - 4. Let i be f(-4). Solve l*p - i = -a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 20 = 8*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cocoocc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-6) + (-5)\/7. Is 1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 11 - 13*j**3 + 0*j**4 + 4*j**2 + 24*j**3 - 16*j**3 - j - j**4 to the form p*j**4 + n*j**2 + y*j**3 + f*j + d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -4. Let i = p - -8. Let x = 0.193 + 3.807. What is the second smallest value in i, 0.2, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3278*w + 3442*w = -435584. Do w and -2655 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27920653*c - 70548610 wrt c.\nAnswer: 27920653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -896*f - 2240. Let l(d) = d + 2. Calculate -2240*l(r) - 2*t(r).\nAnswer: -448*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**6\/40 + f**5\/10 - f**4\/8 - f**3 + 17*f**2. Factor x(p).\nAnswer: 3*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013193 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -573.2651 and 1.\nAnswer: -572.2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16926697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*u + 4*u, 3*z - 10 = -2*u. Suppose 4*l + 0*l - 5*h = 25, -z*l - 2*h + 8 = 0. Put 1, 2, l in decreasing order.\nAnswer: l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 26*a + 2. Let v be y(-26). Suppose -63 = -3*q + 3*o - 0*o, -v*o = 4. Suppose -289 = -t + 4*z, t - 2*z + q = 298. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3354, -6457, -9562, -12669?\nAnswer: -15778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 174.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 812.2725 days in seconds?\nAnswer: 70180344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 times 2.624?\nAnswer: 1209.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -35*y - 3527. Calculate o(-44).\nAnswer: -1987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 3*y - 5*y + (y - 4 + 4)*(105 + 88 + 54) as h*y + a and give h.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8685800367 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/228 and 8\/219?\nAnswer: 16644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -29, -1 in ascending order.\nAnswer: -29, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.9. Sort h, 11, 0.1.\nAnswer: 0.1, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*t**3 + 13487*t**2 - 155986.\nAnswer: -117*t**2 + 26974*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/57016 and -67\/24.\nAnswer: 171048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8359988 = 4*a - 2*i - i, 2090008 = a + 2*i. Round a to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 73.96 and -0.17.\nAnswer: 73.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -11. Let m = n + -6.8. Let v = -0.8 - m. Is v greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o - 4. Suppose 114*p = 110*p + 12. Let c(g) = -10*g - 3. Calculate p*d(i) - 4*c(i).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15698?\nAnswer: 2, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/163?\nAnswer: -10\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 922355 to the power of 1\/2, to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -34677 <= -472\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133054161?\nAnswer: 3, 67, 661961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*x**5\/5 + 7352*x**4\/5 + 72794*x**3\/5 + 67284*x**2\/5 + 16362*x\/5 = 0. Calculate x.\nAnswer: -909, -9, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241\/4 + -60. Let o = 6 - 8. Let w = 32 + -27. What is the closest to o in j, w, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90509051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 18 = 3*w. What are the prime factors of (15\/(-3))\/(w - (-82)\/28)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19273290 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 0.6 (c) 2\/13 (d) 0.03 (e) 4 (f) -0.091\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 9. Let c = -21 - -14. Let x be i(c). Let k(v) = -v**3 + 8*v**2 + 45*v - 233. Let n be k(4). Solve -x*w + 4 = 2*y, w - 3*y = -0*y + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 996, 914, 776, 582, 332?\n\"Answer: -28*w**2 + 2*w + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7767 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 231493*x**3 + 497286?\nAnswer: 694479*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2. Let p(i) = -250*i. What is p(x(a))?\nAnswer: -1250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = 3*x, -3*c - 5 = 3*x - 8*c. What is the third derivative of -4*l**5 + 2*l**5 + x*l**2 + 6*l**5 - 2*l**2 wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9*12*(-4 - (-68)\/16). Solve 5*f = -2*b - c + 7, -b + 3 = 4*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -621*g**2 - 14*g - 15. Let j be v(-2). Suppose 3*k = a + 2790, 3*k - 2*a = 970 + 1817. Let z = j + k. Round z to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 22.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 97 and 22876169.\nAnswer: 22876266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 4*z - 4*z)*(4 + 0 - 3)*(-791 + 4874 + 994)*(0 + 0 - z) in the form n*z + k + w*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*1 + sqrt(117)\/(sqrt(45)\/sqrt(5)) - sqrt(52)\/(sqrt(324) + sqrt(324)*-1 + sqrt(324)).\nAnswer: 62*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 6*y**2 + 4. Suppose 11*q - 6*q - 380 = 0. Suppose 12 = 3*g, -4*s - 4*g + q = -8*g. Suppose 4*u - 16 = 2*m + u, -3*m - s = -4*u. What is v(m)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2 - 4*o - 1 + 1 + o**2. Suppose -3*a + 4*u - 5 = 0, 0 = -3*a - 0*u - 2*u + 25. Suppose -4*p - 8 = -2*n, -p - 4*p = a*n - 20. Calculate k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*a**3 + 5*a**2 + 3419*a - 162278283.\nAnswer: -492*a**2 + 10*a + 3419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 28 = -0*f + 5*f, 0 = x + f - 6. Let j(z) = 2*z. Let t be j(x). Find the third derivative of 2*g**t - 2*g**6 + 4*g**5 - 4*g**5 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12943299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -3357?\nAnswer: -335.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/20)\/(-8)*(-160)\/32*28\/(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/28 and -11\/15469724.\nAnswer: 108288068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 + -20e?\nAnswer: -1ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190178 is divided by 6353.\nAnswer: 5941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(1\/6)*w*w**(-2\/11)*w*(w*w**1*w*w)\/(w**(-4)\/w) assuming w is positive.\nAnswer: w**(857\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*((sqrt(176) - (-4 + sqrt(176)*2)) + 5*sqrt(176)*3) + -3)**2.\nAnswer: 4032*sqrt(11) + 552017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + (sqrt(4050) + -1 + 5 - (sqrt(4050) - 6*sqrt(4050)*-2)))**2.\nAnswer: -2160*sqrt(2) + 583204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 q when four letters picked without replacement from xxlqxlfllllxxlxlx.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -669*g**3 - g**2 + g. Let p be k(1). Let s be p\/27 - (-20)\/(-90). Let z be 24\/(-10)*s\/10. Solve -4*y = 2 - z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-2))\/3 + 432\/(-42)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllylylll. Give prob of sequence yly.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*j**2*l - 7*j*l + 7168*j - 2798*l + 5505 wrt j.\nAnswer: 86*j*l - 7*l + 7168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**2 + 54*x**2 - 31*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0 + (-1 + 2 - 2)*(3 - 2 - 3) - 12 - 12 + 8)*(2*s + 3 - 2 - 3*s).\nAnswer: 17*s - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(2448) + sqrt(2448)) + -1 + (1*2*(1 + sqrt(2448)))**2 + 5)*-2*-6.\nAnswer: 1440*sqrt(17) + 117576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (34 + -7 - (8 + 0)) - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*-1)\/((-52)\/312).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + 2 + (1 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 27. Let h be y(15). Let q be (6*2\/(-3))\/h*9. Suppose 5*u + 10 = 0, m - q*m + u + 15 = 0. What is the highest common factor of 182 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -12 - 2*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(44) + sqrt(176)\/sqrt(4))\/sqrt(4).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48490242025*s**2\/6 - 440410*s\/3 + 2\/3 = 0. Calculate s.\nAnswer: 2\/220205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from uryreyryry.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12992.878 + -12993.42799947. Let s = -0.55 - n. What is s rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j - 28. Let n(g) be the first derivative of g**4\/4 - 7*g**3\/3 + 5*g**2\/2 + 2*g + 25. Let q be n(6). List the prime factors of v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780 and 351?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 1. Suppose p + p + 44 = 4*v, p = 4*v - 32. Does 23 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 * -0.42649\nAnswer: 94.68078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -2*p**3\/3 + 5*p - 1. Let y be t(6). Let m = 116 + y. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 322.03 - 291.0404. Let n = b + -31. Round n to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -5.2798\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 271, 4 in ascending order.\nAnswer: -2, -1, 4, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1726473, 1726442, 1726411, 1726380, 1726349?\n\"Answer: -31*o + 1726504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -929, -4, -2.\nAnswer: -929, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 m when four letters picked without replacement from {k: 4, z: 6, m: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z - 4. Let x = 4 + 1. Let f(i) be the third derivative of 10*i**2 + 1\/24*i**4 + 5\/6*i**3 + 0 + 0*i + 1\/60*i**5. What is x*v(m) + 4*f(m)?\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504 - 14. Is z a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -4*j + 5*l - 165, 0 = -2*j - l + 27. Let q(g) = g**3 + 4*g**2 - 7*g - 6. What is the least common multiple of j and q(-4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -1\/6, 98, 0.8, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 95*u - 2*u**2 + 220*u.\nAnswer: 2*u**2 + 315*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwwwowwwww. Give prob of picking 3 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237 + -252. Let m be (-148)\/10 - (-18)\/u. Which is greater: -87\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 144689 and -5?\nAnswer: 144694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f + 22. Let w be h(12). Let g(i) = -i**2 - 28*i - 17. What are the prime factors of g(w)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 37. Suppose -2*y - t + 22 = 0. Suppose 4*b + 5*f - 63 = 0, 2*f = -y*b + 4*f + 54. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.6, 87, 3?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.86 + -46. Let z = 2.14 + p. Let v = -0.5 + 0.8. What is the closest to 0 in 2\/11, z, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4042588144?\nAnswer: 2, 7, 53, 197, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.25 (c) -0.5 (d) -3\/8 (e) -1\/7 (f) -4.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/(31\/(-124))*-1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1208*q**2 - 1232*q**2 - 1652*q**2 + 150*q**2 - 1652*q**2 in the form o*q + m + b*q**2 and give b.\nAnswer: -3178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.842224 to 2 dps.\nAnswer: -5.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -534.6 + 631. What is k rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let g(o) = -4*o + 279. Determine g(v(a)).\nAnswer: 8*a**2 + 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -10170 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -282, -420, -556?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = -4*d + 16, 7 = 3*d - 5*o. Suppose q + 5*t = 54 + 17, q - 89 = d*t. What is the greatest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(325)*4)**2.\nAnswer: -200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15427 is divided by 3084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {p: 1, a: 1, l: 1, y: 2, w: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/6 (b) 2 (c) 0.02 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -40 + 121 - 32 + 7*l - 7 + 9. Let k be g(-7). Solve -k*o - 8 = 0, 2*y - 3*y - 4*o - 21 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 3. Let w(s) = 1. Let c(x) = -3*t(x) - 5*w(x). Let o(u) be the first derivative of -u**2 - 2*u - 3. Give -3*c(m) - 5*o(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113995341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-564)\/(-48) + ((-146)\/14 - (-248)\/(-434)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968 + 7095 + 2237 + 4733 = 5011*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m - 6 = 0. Suppose 2*j = m*j - 80. Suppose y = -4*n + j, 6*n = 4*n + 5*y + 62. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1546543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) 1 (c) 68 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14 = -6. Suppose 0*b - 5*b + 3*v = -1, -2*b - o*v = -16. Solve b*a - 7*a = -25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1444, 1410, 1366, 1306, 1224?\nAnswer: 1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1363 + 1368. Solve -10 = 2*f + 2*n, -s*f - 5 = -6*f + n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28055 and 1155866.\nAnswer: 5779330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -946?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 30. Let r be m(6). Suppose h = 3, q = 4*q - h - 3. Suppose q*g = -0 + r. Solve -y - g = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/2 + 6*g + 133\/2 = 0.\nAnswer: -7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 + ((-52)\/7 - (-33)\/77). Solve -4*v - d = 8*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67892 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from zzgtwtzfggwg.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77763 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 73 (b) -0.24 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -79*m**2 - 250*m + 1006. Determine h(4).\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f = 132*f - 72672. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1634456 times 4\nAnswer: -6537824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(95) + -1*sqrt(95)) + sqrt(95) + sqrt(95))\/(sqrt(60)\/sqrt(3)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + (2 - 14) + 253. What is the greatest common divisor of t and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*i - 2*i. Let p(x) = x**2 - 2*x - 1. Let l be p(i). Let b = l + 6. Solve -4*z + 3 = -z - b*n, -z + n + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*m - 4 - 5 + 9.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -x - 4288 + 4303, -p + 3*x + 15 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -163768?\nAnswer: 1\/20471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 4\/3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/2067 + 340\/(-975))\/(14\/30)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 17, 0, 1, -2.\nAnswer: -2, 0, 1, 17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 5188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*w - 1 = 0, 11*w - 16*w = 2*y + 5. Suppose 446 - 2102 = -3*u + y*k, -5*u + 2741 = -2*k. List the prime factors of u.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmmmrmmmr. What is prob of picking 3 m?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20412, -47106, -73800, -100494, -127188, -153882?\nAnswer: -180576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -220?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2344, -1, -3.9, 1 in increasing order.\nAnswer: -2344, -3.9, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 21034\/(-14))*(-1071)\/102.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6728678*b**4 + 3*b**3 + 33657*b wrt b.\nAnswer: -80744136*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g. Let z = 8 - 6. Let o(n) = 9*n**2 - n**2 - 8*n**2 - 3*n**z. Give f(o(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(2) - sqrt(2) - -2*sqrt(242).\nAnswer: -4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 11*u + 42 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/3 + 145132*c**3\/15 + 65818*c**2 + 87120*c = 0. Calculate c.\nAnswer: -5, -9\/5, 0, 14520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1 + 2)*1. Let s be (-4)\/18*3*k. Let y be (-2 - -1)*(-2)\/s. What is the closest to 1 in 1\/8, y, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3352 = 26*s - 1276. Calculate the remainder when 4268 is divided by s.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 3 + 3 - 3 + 19*l.\nAnswer: 19*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/29 or 2?\nAnswer: 35\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**10)*m)\/m)\/m**27)\/(m*m\/(m\/(m\/m**(-2\/3)))*(m\/(m*m*m*m**(3\/10)\/m)*m)\/m) assuming m is positive.\nAnswer: m**(-551\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 7. Let w be q(3). Suppose -3*k + 0 - 17 = p, 20 = -w*p. Let s = 17 + k. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01109598 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 58*g. Let c(y) = -3*y. Calculate c(f(s)).\nAnswer: -12*s**2 - 174*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*g - 19*g - 804. Suppose -10*x + g = 48. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5705 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23395 is divided by 1215.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + 0 + 182\/49. Suppose x*z + 2*j + 8 = 0, -6*z - j - 4 = -2*z. Which is the third biggest value? (a) z (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 5*j + 45 = 10*s, 0 = -3*s + 2*j + 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/277 - -77521\/831. Let l = p + -93. What is the nearest to l in 17, -2\/15, -1\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -15. Calculate the remainder when i is divided by (4 - -3) + 6 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + 8. Suppose -12*r - m = -14*r. Differentiate 13*i + r + 9 - 27 + 7 wrt i.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*m**4 + 246 - 246)*(-3*m + 2*m + 3*m).\nAnswer: -46*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 68*f**2 + 65*f - 145. Determine p(-67).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.94589 - -0.9329. Round c to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -36. Let v = -361 + 365. Solve -c = v*c - l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118887380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 5. Suppose 0 = -3*l + x, -2*l - 2*x + 13 = -7*x. Let g(z) = -1. Let b(n) = l*m(n) + 3*g(n). Give b(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*f + 3*f = 3, -5*v = 4*f - 15. Suppose -2*s - 2*s = y - 183, v*y + 81 = 2*s. Let q = 22 - s. Round q to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 18*l = 14*l - 4, -7 = f + 3*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.18 - -0.18. What is the nearest to 1 in 5, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4, 4*t + 0*l + 29 = 3*l. Suppose 5*x - x = 100. Let r = t + x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 27*c + 40. Let f be l(8). Find the first derivative of 0*a**2 + 239*a**3 - f*a**3 - 13 + 2*a**2 wrt a.\nAnswer: -51*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let q be u*2\/3*2. Suppose -5*r - 4*d = -259, -4*r + 47 = -q*d - 153. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5962 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 37 = -5*w, -883*w + 879*w - 8 = -4*t. Which is the fourth smallest value? (a) -18 (b) 2\/7 (c) w (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 88*o - 1860233. Let v(c) = 2*c. What is u(v(w))?\nAnswer: 4*w**2 - 176*w - 1860233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:21 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 9:47 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1456 - -1680. Which is greater: -2\/27 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*x = c - 180*x - 127, 2*c - 245 = -5*x. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (383 - 131 - 278) + (-2 - (-13 + 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 4, j: 1, u: 6, s: 4, n: 2}. What is prob of sequence cj?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 z when three letters picked without replacement from kdkzxdk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062277 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 11.5. Let o = -6 - x. What is the third biggest value in 0.5, o, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 16*z**2 + 28*z - 75. Determine w(-17).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*o + 11 = 0, -f = 3*f + 3*o - 17. Solve l - 15 = -f*v, -5*v = -4*v - 3*l + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 83\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*b + 22 - 22 to y + d*b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 4*n - n + (4*n - 2*n - 4*n)*(3 - 1 - 3) - 3*n + 2*n + 3*n)*(2 - 1 + 1)*(6 + 1 - 2).\nAnswer: 90*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 - -5)) + (-2 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*1355\/1355*6\/(-146)*4\/6\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. Let n = -4.61 + s. Let x = 0.43 - n. What is x rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-468)\/(-81) + -6 + 182\/9. Solve 5*s = -3*w - 12, -3*w + 5*s = 2*w + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -77551*z. Let d(j) = 32*j**2 + 1. What is x(d(g))?\nAnswer: -2481632*g**2 - 77551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -542*h**3\/3 + 362*h + 33. Differentiate g(r) wrt r.\nAnswer: -1084*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0403 + 40.1403. Let z = 40.0816 - n. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/95 - 201\/1045. Let j = -1318 + 1313. Which is the second biggest value? (a) -4\/7 (b) 5 (c) o (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.27636 centimeters in meters?\nAnswer: 0.4627636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*j + 12 - 41.\nAnswer: 2*j - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b**3 - 3*b**2 + 3*b - 4. Let c be d(2). Let k = 146 - c. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107 + 76 - 126)*(z - z**4 + z + 0*z) - z**4 + 0*z**4 - z**4 as s*z**4 + k*z + q*z**3 + m + o*z**2 and give s.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:33 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*k - 4. Let q be (-6)\/(-2) + k + 0. Solve -q*f = -2*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2 (b) 1\/2 (c) -0.1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 994.\nAnswer: 6958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7442100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/27712 and -59\/2.\nAnswer: 27712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 579947987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -277, -445, -607, -763, -913, -1057?\n\"Answer: 3*u**2 - 177*u - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, o: 1, f: 3, n: 1}. What is prob of sequence po?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from kikiiiiikki?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f - f + 251 - 1163 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*m = 137*m - j + 39886, 2*m = -2*j + 19952. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 5*n**4\/24 + n**3\/6 - 2*n**2. Let i(m) = 16*m + 10*m - 40*m + 12*m + 5*m. Calculate x(i(h)).\nAnswer: 15*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3410 and 69285.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61\/45 - -4\/9. Suppose 3*b + 6 + 0 = 0. Let s = b + 4. Are c and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/7)\/((-6)\/21))\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 56. Solve 3*t + 4 = x*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 - -506. Let w = -209 + q. Suppose c - 3*c = -w. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 5*b)*(-413 - 1281 + 0).\nAnswer: 3388*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 421\/22 - -5683\/110. Let y = h - 71. Sort -3, 0, y, 3.\nAnswer: -3, y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1386\/90 - 7)*70. Let b be 4\/18 - 424\/(-36). Calculate the highest common factor of c and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 5347*c**2 - 10*c + 5. Let y(u) = u**2 - 2*u + 1. What is v(t) - 5*y(t)?\nAnswer: -2*t**3 - 5352*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -14. Suppose 30 = -o + 2*o. What is the remainder when o is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 416*m - 420*m + 24, -4*l + 3*m = 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241 + -238. Which is the second biggest value? (a) u (b) -4.2 (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0397 - -1.0397. What is the third smallest value in n, -2, -4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 1 + (-1624 - -1640) + 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, q: 1, l: 1, j: 5}. What is prob of picking 1 j and 1 l?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -3, -5508.\nAnswer: -5508, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 10:25 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) 1418\/17 (c) -19 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/((-31050)\/736)*(-25)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.239 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54549 and 143583.\nAnswer: 12491721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 54. Solve 5 = 3*z - t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(162\/390) + 7. What is the closest to 2 in -6\/11, s, -2\/7, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 68620.029 to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242 divided by -121.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - j + 6. Let m be n(-3). Suppose 6*f = -m*f - 618. Let p = f - -220. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663*y = 687*y - 1512. What is the greatest common factor of 3087 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2353 - 120. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*p + 1 - 1 + (0 + 5 - 1)*(3*p - 6*p + 2*p).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, e: 1, x: 2, j: 1, g: 2}. What is prob of sequence je?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:51 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -399, -616, -833?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 8\/665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/375 + -1529\/1500. Find the common denominator of 87\/140 and z.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 9*q + 6. Let x be c(-10). Let b be 2*x*5\/10. Let m = 3 - b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -6. Let l = -8.000046 - s. Round l to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 20. Let i be d(10). Suppose -4*r + r + 72 = i. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.06 (c) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Are 15.72 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-210))\/(18\/21).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/(-5) + (-15)\/75. Let s(a) be the second derivative of -7*a**3\/3 - 11*a**2 - 33*a. What is the tens digit of s(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-1\/32)*w**10\/(w*w*(w*w**(1\/17))\/w) assuming w is positive.\nAnswer: w**(2143\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -1.57. Let s = l + -1.60017. Round s to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:00 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 5*z + 4. Let r be j(6). Let k be ((-15)\/12 + r\/(-8))*-5. Solve -3 + k = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 50*b**3 - 4*b**2 - 8*b + 3. Let m be t(-2). Let y = m + 401. Solve -7 = q - a, -3*q - 3*a + a = -y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 3. Let z(q) = 13 - 10 - 5. Let k(a) = 2*t(a) + 3*z(a). Let l(j) = 14*j**2. What is k(l(b))?\nAnswer: -784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 266?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/12 + 6*u. Let o(t) = 9*t**2 + 8*t. Let l(y) = 3*y**2 + 3*y. Let v(p) = -8*l(p) + 3*o(p). Give v(i(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 762298759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*f + p, 3*p + 5 = -f - p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-532)\/455 - ((-4060)\/(-175))\/(-58)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 5, f: 9}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -21. Let n = 109 - 37. What is the highest common factor of m and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/4)*b*b)\/b)\/((b*b**(-1))\/b)*(b*b**(4\/11)\/b)\/b**(-2\/7))**(-2\/39) assuming b is positive.\nAnswer: b**(-1201\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -11*g - 17. Suppose 4*l - g*l - 21 = -2*i, 0 = -5*l - i + 69. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -390937 and 47?\nAnswer: 390984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*q*t - 4561*k**3*t + 8901*k**3 - 52*k**2*q*t + 3*k**2*t - 4*k**2 + 427*k*q*t + k*q + 3*q*t wrt k?\nAnswer: -12*q*t - 27366*t + 53406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.26556 centuries to months.\nAnswer: 63918.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-1) - -4) + -3. Suppose 0 = 2*l + 22 - 62. Let j be (-3)\/(-6)*l + -2. Solve -p*q + 5 = -d, -d + 11 = 5*q - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10564767449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -66, -105, -144?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37782151459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + o + 672 = 0. What is the smallest common multiple of (o\/(-20) - 5)*25\/(-2) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/42 - 15 - -15?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 4718840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(-1 - 1 + 1)*(u**3 - u**3 + 2*u**3 + (-4 + 4 - u)*(u**2 - 5 + 5)).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528634?\nAnswer: 2, 101, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1248)\/2 - (-7 - -10). Let i = -280 - n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112257 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 14. Solve 1 = -u, 0*u + x*u = -w + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9095920 and 3638368.\nAnswer: 18191840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196559 is divided by 543?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672.236ug in kilograms?\nAnswer: 0.000005672236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 0, 361, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let x be 6\/(-1)*s\/46. Let t = 2334 + -2335. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 231.4 + -246. What is u rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018 = -163*d - 1138 + 526 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 58929 = 5*q, h + 7*q = -h + 29417. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2916020 and 9914468.\nAnswer: 49572340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:23 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/4 (c) -0.4 (d) 3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-one halves of a meter?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {u: 4, o: 1, e: 6, n: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 359*i**2 - 55643*i + 56. Calculate a(155).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753866871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35425267 to four dps.\nAnswer: -0.3543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217*x**2 - 53*x + 4*x**3 + 18*x + 16*x + 19*x.\nAnswer: 4*x**3 - 1217*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**3 + 8*i**3 - i**2 + 2*i**3. Let p be v(1). Suppose p*a = -4*j + 36, -j + a + 12 = -3. Calculate the remainder when 19 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436394907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18234 by 3.\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-20))\/((-1)\/(-2)). Let u be (54\/891)\/(h\/3). Which is the second biggest value? (a) u (b) -0.05 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3 + h. Let b(a) = 16*a**2 - 7*a**2 - 11*a**2. What is l(b(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (315\/9)\/(-2 - (2 - 5)). Suppose 40 = 15*q - z. Solve -9 = -q*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 240634.11 months?\nAnswer: 200.528425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3366486 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 109*t + 87. Let c be p(-21). Solve -x - 4*r = 11, c*r = 2*x - 6*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 4, -12*f = 11*f + 615*i - 620*i - 66 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*s - 7*s + 8*s)*(139 + 104 - 24)*(-3*s - s + 3*s) to m*s + y + j*s**2 and give j.\nAnswer: -2628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10364, -82972, -280064, -663884, -1296676, -2240684, -3558152, -5311324?\n\"Answer: -10374*k**3 + 2*k**2 + 4*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9) + 8\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 13) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(1 + (sqrt(891) - (sqrt(891) + sqrt(891) + -1))*6 + -1)*-3)**2.\nAnswer: -5248800*sqrt(11) + 260107200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 5541680\nAnswer: 11083360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c - 9 + 11 - 2. Let n(q) = -2*q. Calculate f(n(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 18. Suppose v = 11*b - 8*b - 447. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 3*o - 57, 151*a - 156*a - 46 = 2*o for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478 (base 14) to base 2.\nAnswer: 1101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + 46\/8. Suppose -4*c - 3*k + 3 = 0, 4*c + k = n*c - 9. Let o be (-4)\/(-14) + (-1148)\/(-98). Solve 3*b - c = -o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4014\/126 + 2\/14. Let y = n - 30. Let g(t) = 12*t + 9. Let p(i) be the first derivative of -3*i**2\/2 - 2*i - 1. Give y*g(r) + 9*p(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1495520, -1495619, -1495718, -1495817, -1495916, -1496015?\nAnswer: -1496114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5650386 and 119\/461256.\nAnswer: 22601544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50 - -49)*(-1 - (1 + -3)). What are the prime factors of (((-326)\/(-6))\/(12\/(-72)))\/s?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18313119 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1100)*4*-3 - (3 + 5*(2 + sqrt(1100)) + sqrt(1100)))*-5 + 5)**2.\nAnswer: -126000*sqrt(11) + 8914900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2694 = -c, 2*c - 1022 = -4*t + 1678. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266774 * -0.051\nAnswer: 13605.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-4))*m*m**(-31))\/(m\/(m**(-2\/41)\/m*m)*m*m*m**(1\/3)) assuming m is positive.\nAnswer: m**(-3614\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 139*u**2 + 609*u + 2019. Calculate d(143).\nAnswer: 7310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.1, 49, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-6*(-8)\/(-208))\/(-6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by -148.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.67329 + -1.302576. Let a = 0.371 - c. What is a rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 20. Suppose 0 = s - y + 17, k*s - y - 17 = s. Which is bigger: s or -18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*t**3\/3 - 568*t**2\/9 + 616*t\/9 - 64\/9.\nAnswer: 2*(t - 2)**2*(69*t - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19342 is divided by 2138?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g - 96 = -40*g. Which is the third biggest value? (a) -2 (b) g (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/7 (b) 2\/3 (c) -1519\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2 + l + 3. What is the remainder when k(4) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/48 and -109\/3192.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4930 times 0.5?\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 28*v**2 + v. Calculate the remainder when f(1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r - 363. What is s(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1177, -2378, -3579, -4780, -5981, -7182?\nAnswer: -8383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 2*x - 2. Determine w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*f = 0, -10 = -3*i - 2*i - 4*f. Let u(j) = -j - 5. Let s be u(0). Let n = -0.2 - -0.2. Which is the closest to n? (a) -1\/5 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/68, -0.5, 3, -2\/3 in decreasing order.\nAnswer: 4, 3, -1\/68, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.15729 (b) -5 (c) 1\/56 (d) 94 (e) -2\/9 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*f - 153*f - 210392 = 0. What are the prime factors of f?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 5*a + 1. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2463403.\nAnswer: 3\/2463403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -854 - -839. Sort 5, i, 3 in increasing order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52388*b**2 - 47*b - 6064869.\nAnswer: 104776*b - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -2 (c) -15 (d) 0 (e) -1 (f) -11 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 22. Let t*u + 8*u**2 + 22 + 2*u**3 - 5 - 17 = 0. Calculate u.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423 + -413. What is the second derivative of 2*i + 77*i**2 + 15*i**2 + 143*i**2 - g - 129*i**2 + 98*i**2 wrt i?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 7 - 5 + 2 - 7 + 8. Let l be d(6). Solve -c + 6*c = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(91\/(-28))*2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*l + 4*i, 3*l + i = -l + 38. Let h be (l\/15)\/(2 - (-80)\/(-45)). Solve -5*c = 2*t - 2 - 5, h*t = 3*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 1)\/(12\/(-6)). Let k = h + -2. Which is the third smallest value? (a) -2 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*v**5 - 2*v**3 + 55*v**5 + 2*v**3 - 5*v**2 wrt v.\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13980705 - 9186398. Let l = n + -804307. What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8141 + 3.8141057054. What is d rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wtaeataaaewwe?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -224333222 (base 5) in base 12?\nAnswer: -409573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -38*y + 2. Let n be w(-2). Let x be (-52)\/n + 358\/(-3). Let i = 40 - x. Does 40 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -0.54. Let g = -0.4 - s. Let h = -1 + 0.9. What is the closest to h in -5, -1\/7, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1605601 (base 7) to base 9.\nAnswer: 365421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1*4 - (sqrt(171) + -1*(sqrt(171) - sqrt(171)*-2 - sqrt(171)) - sqrt(171)))\/(sqrt(9) - (sqrt(162)\/sqrt(3))\/sqrt(6) - sqrt(486)\/sqrt(6)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y + 200. Calculate g(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435575037?\nAnswer: 3, 17, 1193, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/12 + 5*q**3\/3 + 2*q**2 - 4*q. Let w be i(10). Let z be (-52)\/12 + w\/(-6). Is 0.3 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = b + 2*b. Let c = b + 84. What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(3\/((-18)\/5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 33786 = 4*g + 9770, 5*x - 6004 = -g. What are the prime factors of g?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. Solve 0 = -4*w + w + m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7470 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.3, 0.5, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6388 + 36*(-12)\/(-54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.46 + 11.37. Let s = -0.09 - o. Which is the nearest to -1\/4? (a) -4 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2626 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8947876 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/6)\/((-336)\/(-864))*-2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -419806+-11798220\nAnswer: -12218026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 29*z - 31. Let r = 12155 + -12127. Calculate l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*w + 1387*w = 442 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11960)\/(-300) + 0 + 6\/45. Suppose 0*p = 3*p - 6. Suppose 4*m - 2*y = 3*y + 30, -2*y - 9 = -m. Solve m*k + v = -5*u, 2*k - p*u - 5 = 3*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 301, 600, 899, 1198, 1497, 1796?\n\"Answer: 299*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 2\/273 in descending order.\nAnswer: 0.5, 2\/273, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*1 + sqrt(136))*5)\/(sqrt(80)\/(sqrt(10) + 2*sqrt(10))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*c - 3*c + 372, -5*c = -4*z - 1854. Suppose -4*k + 4*o - 9*o + 263 = 0, -5*k + 2*o = -c. Calculate the highest common divisor of k and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*s**4*z - p*s**2*z - 6*p*s*z - 2*p*s + 2*p*z - 45575220*s**5 - 15*s**2 - 1385*z wrt s?\nAnswer: -48*p*s*z - 2734513200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 220350.2578 to the nearest 100.\nAnswer: 220400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cjljjjcc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 + 6*c**3 + 0*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 10. Calculate the smallest common multiple of 2 and (8 - 0)\/(k\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g + 6. Let n be h(3). Let d = n + 36. Let u be d\/(-49) + (-48)\/(-14). Solve 23 = -4*t + 5*w, -u*t - 16 + 4 = -2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000506 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14175 is divided by 7087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20640*f + 8423*f + 6868*f to the form l*f + i and give l.\nAnswer: -5349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t + 3 = 0. Let k be (-1)\/(t*(-20)\/8). What is the nearest to 1\/6 in 0.5, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {e: 8, j: 5, k: 7}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-24)*4)\/((-3)\/(-96) + 2970\/1728).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -48. Suppose 6 = -g*t + 46. Let a(w) be the third derivative of -w**4\/12 + 2*w**3\/3 - 5*w**2. Let b(v) = -2*v + 3. Determine t*b(x) - 4*a(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 121. Suppose -4*t = 5*a - u, 3*a - 32 = 3*t + 2*t. Suppose c = 3*v + 4*c, 3*c = 4*v - a. Solve -h + 0*w - 4 = v*w, -8 = -5*h - 3*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 - 168*j - 513 = 0 for j.\nAnswer: -3, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 12 = 4*h, -8*y + 5*h - 23 = -9*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/(2\/8) - -4. What is the third derivative of -4*n**6 + 2*n**5 - 15 - 240*n**3 + 241*n**i - n**2 - 2*n**5 wrt n?\nAnswer: -480*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:00 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:26 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*f - 123*f = -3. Solve 2*j - f = 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-11\/4)*p**(1\/7)*(p**(3\/5)*p)\/(p**(-6\/11)*p) assuming p is positive.\nAnswer: p**(-2251\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f + 1644. Let v = f - 366. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - p = 31, -5*a - 2*p = 3*a + 134. Let x(y) = -y - 2. Determine x(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*y = 22, 5*y + 5 = 5*n - 0*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 31, 10, -41, -134, -281, -494, -785?\n\"Answer: -2*k**3 + 3*k**2 + 2*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = 0. Solve 0 = -z*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*l = 19, -1 = -5*z - 5*l + 29. Let o(u) = z*u - 1 - 2*u - 2*u. Let q be o(6). Solve v - 8 = q*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 0*z**2 - 4*z - 25 + 4*z as m*z + w*z**2 + a and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -54 + (-2 - 0) + (-8)\/(-2). Is -358\/7 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2981.\nAnswer: 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*r + 96 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902595 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 1.6. Let l = -0.1 - -1.1. Sort l, 3, v.\nAnswer: v, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t - 12 = -58*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 348319174 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-325)\/(-182) - (-4)\/6*-3. Let d(q) = 5*q**2 + q - 2. Let i be d(1). Suppose 0 = -i*r + 2*r - 2. Are r and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.19 (b) 4\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/24)\/(v**26*v))\/(v**(5\/7))**3 assuming v is positive.\nAnswer: v**(-4889\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12*l - 144. Suppose b = -4*z + 577, 4*b = -l*z + 13*z + 735. Calculate the highest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18 + -20)*(-1 - 11\/2). Suppose n = -3*o + 1288, -v = -4*o + 3. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 - 2613*w\/7 - 444744\/7.\nAnswer: -3*(w + 232)*(w + 639)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**5 + 19*g**4 - 1165*g**3 + 1038381*g**2 wrt g.\nAnswer: -360*g**2 + 456*g - 6990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1021 + -2191?\nAnswer: -31b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*k - 21 = 0. Suppose -3*t - 12 = 3*w - 0, 4*w + 20 = -k*t. Are w and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -1704, -5723, -13540, -26421, -45632, -72439, -108108?\nAnswer: -153905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o**2 + o + 58. What is the lowest common multiple of s(-2) and 2205?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.692? (a) -5 (b) 5\/6 (c) -20 (d) 2 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1646 and 1.0768.\nAnswer: 0.9122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45414.71 millilitres in litres?\nAnswer: 45.41471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 25\/7, 2\/7, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -254\/2769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*h = 132, 2*i = -2*i - 4*h + 100. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20.9 or 1193\/2?\nAnswer: 1193\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1489577, 2979145, 4468703, 5958245, 7447765?\n\"Answer: -t**3 + t**2 + 1489572*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*g - 1099 + 1116, -3*n - 2*g + 12 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-52) - (-1 + 435\/(-39)). Let a = n - 11. Let p be 3 + -1 - 3*a. What is the third biggest value in 4\/3, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 335*g**2 - 2360*g + 105 = 0. What is g?\nAnswer: 3\/67, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 + 331. Suppose -6*q = -4*q + t. Round q to zero decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*138\/28 + 1 and 115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 4, -13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -11767.\nAnswer: 2\/11767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7557.006 + 7531.005876. Let j = -26 - x. What is j rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 40*f - 43*f + 2*s, -2*f = 3*s - 16. Solve -6*c + 4 = -f*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -1\/6*l**4 - 23*l + 0*l**2 + 0 + 0*l**3. Let y(k) = -k**2. Give y(x(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0)\/(-28 + 26). Suppose 11*t - 7 - 37 = h. What is the derivative of -3*m**4 - t*m**4 + 520*m**3 - 520*m**3 - 19 wrt m?\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-64) + 17\/4. Suppose 3*u = q*u - 2. Put -0.3, u, -4 in ascending order.\nAnswer: -4, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01117230288 rounded to four dps?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*m**3*o - 8*f*m**3 + f*m**2*o - 3*m**4*o + m**4 - 10*m**2*o + 10*m**2 - 5*m*o - 2*o wrt m.\nAnswer: 18*f*o - 48*f - 72*m*o + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3513298)\/666 + (-2)\/(-9). Let h = -932 - i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (sqrt(700)*-2 + 2 - 5*-3*sqrt(700))**2.\nAnswer: 520*sqrt(7) + 118304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125106 (base 8) in base 9?\nAnswer: 65713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(-2*3*sqrt(10)))\/(sqrt(27)\/(sqrt(3)*3 + sqrt(3))*4).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -242.33 smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-105)\/(-2 - -5) + 0. Let r = -25 - z. Calculate the highest common factor of r and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 + 22\/(-10). Suppose 19*b + 6 = 22*b. Let j be b\/(-16)*-4 + 7\/(-2). Do j and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from zfefzfkcccfzfkzcck.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 1920.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}