diff --git "a/data/dm_maths/full_data_1/1924_11255.jsonl" "b/data/dm_maths/full_data_1/1924_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1924_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Add together 405664 and -4.\nAnswer: 405660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10441 + -12?\nAnswer: -10453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12743\/1704 - 812\/71. Find the common denominator of 158\/((171072\/(-32))\/(-9)) and z.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 995, 2610, 4245, 5900?\nAnswer: 7575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 12*t**2 + 3*t - 32. Let r be y(12). What is j in -33*j**2 + 31*j**2 - 5*j**3 - 6*j**2 - 4*j**4 + 3*j**r - 4*j = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15265, -30668, -46065, -61456, -76841, -92220, -107593?\nAnswer: -122960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/12 - h**3\/6 + 5*h**2\/2 - 5*h. Let y be x(-3). Which is the smallest value? (a) -2\/15 (b) y (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 5, 20, 51, 104, 185, 300?\n\"Answer: v**3 - v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4013 + -2235. Does 39 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1994\/7 + -284. Solve 4\/7 - 10\/7*j**2 + i*j = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467139.\nAnswer: 3, 31, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*t - 5 + 4)*((3*t - 2*t + t)*(2 - 1 + 1) + 0 + 2*t + 0 + 2*t + 1 - 1)*(0*t - t + 2*t).\nAnswer: -16*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395108508 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 9) + 8 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 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 u(h) = -h**2 - 6*h + 6. Let p be u(-6). Let r(t) = -t**2 + 6*t + 6. What is the units digit of r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 25*u**2 - 20*u - 99. Let i be c(24). Sort -2, 4, i, -14 in descending order.\nAnswer: 4, -2, i, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 20*x - 20. Let k = x + -3. Solve -2*t - 2*t - 2*u = 16, -k*t - 5*u = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at least -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 9 + -4 + -21 + 28 + -26.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (0\/2 - 3). Calculate the common denominator of ((-8)\/(-2))\/((-18)\/(-25)) and (-45)\/12 + u + -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.71 - 11.81. Which is the nearest to i? (a) -2 (b) 6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9217 - 8935 = -541*n + 7275 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3657574 - 3657573.56000025. Let z = -0.44 + d. What is z rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:16 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-20)\/4 - 6\/((-540)\/875) and -101\/92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 31*d**2 - 129*d - 12. What is the hundreds digit of g(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 117\/4. Let v be (-26)\/30 + (-6)\/(-30). Let z = 27 + -32. Which is the closest to s? (a) z (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -65.05. Let y = -0.13 + 0.03. Let g = 0.2 + y. Which is the nearest to g? (a) d (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**5 + 2120753*z**3 - 1350315*z**2 wrt z.\nAnswer: -120*z**2 + 12724518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124733 + -2161?\nAnswer: -127114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2791954721 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 2. Let t be x(3). Let i = -5 - -3. Suppose 0 = 7*v - v + 30. Sort i, t, v in descending order.\nAnswer: i, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2257 from 25.\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z**2 + 2 - 3*z**2 - z**2)*((-16*z - 2*z - 7*z)*(0 + 0 - 3) - 3*z - z + 11*z) to w*z + u*z**2 + r + h*z**3 and give w.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/(-2))\/((-3)\/6) + 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 634 or 733?\nAnswer: 634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937 (base 14) to base 16.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -175*f**2 - 1053*f - 26. Give y(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 625744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781621961.\nAnswer: 2781621961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 990 + -1096 - 138\/(-3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 7. Let x(q) = -3*q + 7. Let u(k) = 4*x(k) - 3*z(k). Let o(w) = -20*w - 346. Let i be o(-17). What is u(i)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7542094 divided by -7\nAnswer: 1077442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 8*j**2 - 7*j - 14. Determine f(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r**2 + 4*r - 16. Give w(5).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87821231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 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 h = -8 + 7.9. Round h to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (-3)\/3 - (-1180 + 1190). Determine q, given that p + 3\/4*q - 1\/4*q**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i + 16. Determine m(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41893733 to the power of 1\/2, to the nearest integer?\nAnswer: 6473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 29*d - 80 = 0. Suppose 70 + d = 5*q. Let t(y) = -y**3 + 6*y**2 + 9*y - 9. Let z be t(7). Solve -x + q = 4*w, -z*w + 20 = -2*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 18}. What is prob of sequence jij?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11484 and 0.5.\nAnswer: -5742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -555 + -45230?\nAnswer: -46115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 1. Let v be t(-5). Suppose 2*n - n - v = 0. Let s = -0.052 - -3.052. Which is the third biggest value? (a) -0.4 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 9*w**8\/7 + w**7\/21 + 15*w**4 - w - 52. Find the third derivative of h(b) wrt b.\nAnswer: 8640*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991 = -46*j + 1019 - 170 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 8 = -14*f. Suppose -16 = -6*v + f*v. Calculate the greatest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.37 (b) -18 (c) 15 (d) -536 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -2 + 2 + (-77 - -76)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - -309?\nAnswer: 31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -64\/183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10*w - 24 = 0. Solve -h + 0*h - 2*j + 11 = 0, w*j - 15 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 858*m + 119. Calculate y(0).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 39*t + 1741. Let y be p(65). Solve 0 = -r + 2*w + 8, 54*w + 25 = -5*r + y*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 71*b + 388. Let m be x(7). Suppose -5*p - 2*t - 21 = 0, p + p = 2*t - 14. Are m and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520614 divided by -17.\nAnswer: -520614\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22361641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5716, 11594, 21392, 35110?\n\"Answer: 1960*b**2 - 2*b + 3758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j*j\/((j\/(j\/j**0))\/j))\/(j**(-3\/2)\/(j\/(j*j*j**(2\/9)*j))) assuming j is positive.\nAnswer: j**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 715*j**4 + 3203*j wrt j?\nAnswer: 8580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**3\/6 + 3*s**2 + 7*s + 2. Let u = 103 - 112. Calculate x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4, -14*f = -4*t - 16*f + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57894096*r**2 + 4*r + 4722188?\nAnswer: -115788192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/18 + 3 + 3\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*u = -7 - 4, 4*v - 18 = 2*u. Let l(q) = -q**3 + 9*q**2 - 19*q + 12. Let n be l(6). Put -5, v, -3, n in increasing order.\nAnswer: -5, -3, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25431919 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 318 and 107?\nAnswer: 34026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let q(c) = -6*c**2 + 25*c - 3. Let h be 6\/(-12) + 5\/2. Let a(f) = 5*f**2 - 25*f + 2. Let g(t) = h*q(t) + 3*a(t). What is l(g(u))?\nAnswer: -3*u**2 + 25*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 2*v - 16. Let j be p(5). What is the greatest common divisor of 216 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9694\/4431 + 4\/1477. Find the common denominator of q and (12\/336)\/(77\/1980).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1363 - 1414 = 0 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1774 and 1772 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-18) - -1 - (-217)\/(-3). Let x = -12 - k. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16*w - 7. Let u(q) = 5*q + 2. Let o be (-6)\/(-8) - (-22)\/(-8). Calculate o*g(x) - 7*u(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + w - 14759 = 0, 269*k - 271*k + 5*w = -29532. What are the prime factors of k?\nAnswer: 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y - 2 - 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 + 3.2. Sort -0.1, 3, -3, c.\nAnswer: -3, -0.1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10524.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17711378 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3284994 and -1.\nAnswer: -3284994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - 11) - (24 - 47)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8607 and -101\/35454.\nAnswer: 5353554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1261, -1275, -1301, -1345, -1413?\n\"Answer: -j**3 - 7*j - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x. Let l be o(6). Suppose 59*b + 2233 = l*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z + 39*z + 126 = 82*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwww. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 90829407?\nAnswer: 1\/30276469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.54756 millimeters to meters.\nAnswer: 0.03554756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*j + 17 = 0, -22*k - 23 = -26*k + 3*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(44))\/(5*1*sqrt(4) - sqrt(4))*6 - (sqrt(110)\/(sqrt(12)\/sqrt(6)) - sqrt(55))\/(sqrt(10)\/sqrt(8)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/60 - y**5\/60 - y**4\/8 - y**3\/2 - 3*y**2. Is k(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49393844*u**3 + 3917*u**2 + 164*u?\nAnswer: -296363064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98569 and 1199188.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*n = -0*d - 6, 4*d - 5*n = 17. Let t = -15 - -17. Suppose -3*y + t*y = -7. Solve -m + d = y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmzmmm. Give prob of sequence zzmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1506 divided by -753.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**3 - 6*w + 6*w.\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30166 + -91900\/3. Which is smaller: l or -468?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403136 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 16*s\/5.\nAnswer: 2*s*(s - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93786 equal to 93788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = -5*t, g + 5*t - 15 - 1 = 0. Calculate the least common multiple of 1 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -7. Let a = o - -2.3. Let f = 69\/5 + -14. Sort f, -2\/11, a in ascending order.\nAnswer: f, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 2, g: 4, a: 1, y: 2}. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 5*r, 0 = 4*c - 0*c + 5*r - 8. Let i be (2\/4)\/((-6)\/(-60)). Solve 3*f = c*f - i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + 2 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17354817 to the nearest integer?\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 37 = -20*h + 15*h, 13 = -g + 2*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146982.\nAnswer: 2, 3, 11, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2 + 20*b - 3. Let a be o(-2). Let d be (-1 - -3) + 0\/1. Let r(h) = -h**3 + h**2 + 2*h. Let f be r(d). Solve 3*c + 2*c - a = f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 825424393 and 2558?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.298 - 0.698. What is the biggest value in j, -15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 17*y = -4*s - 184, 0 = -3*y + 4*s + 137. Is y equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154 - 208 - 6*q + 356 + q**3 to the form y + v*q**3 + k*q + d*q**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070678274?\nAnswer: 2, 7, 139, 1064069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0953 + 134.7953. Let d = 145 - k. Let w = 10.300133 - d. Round w to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2254*s + 152*s = -2312*s - 103796 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1910, -3789, -5652, -7493, -9306?\nAnswer: -11085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -201?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (908\/(-6))\/((-4)\/6). Let d = -9718 + 10021. Suppose -3*s + d = s - y, -3*s + y = -b. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273 - 54*t**2 + 273 to f + q*t**2 + s*t and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 62, 89, 116, 143, 170?\n\"Answer: 27*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -91, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 321\/395 + -1\/79. Suppose 6*d = d + 5. Which is the nearest to d? (a) -1 (b) z (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693, 686, 679?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5529464.7 rounded to the nearest one hundred?\nAnswer: -5529500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2777300 to the nearest 10000.\nAnswer: 2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1063920034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {d: 3, u: 5, e: 1, m: 1, b: 3, x: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85140 and 6?\nAnswer: 85140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -753436480 divided by -37671824\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let l be 4 + -8 - (0 + y). Calculate the remainder when l\/(-9) + (-202)\/(-6) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3 + 4*l**2\/3 + 14*l\/3 + 4\/3 = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 623 and 42?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from {z: 1, k: 1, l: 1, o: 1, v: 4, p: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52 + (7 + -42 - -82)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 + 294512*h**2\/9 - 3613662208*h\/3 - 9638526976.\nAnswer: -2*(h - 73632)**2*(h + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218714*y - 437505*y + 218692*y + 2*y**3 + 153*y**2)*(-2 + 1 + 0).\nAnswer: -2*y**3 - 153*y**2 + 99*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 5*y = -23, -h - 5*y = -13. Suppose -3*r = -0*r - h. Is 4\/r*114\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (1 - 1) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + 1 + -1) - (sqrt(448)*1*-4 - sqrt(448) - sqrt(448)))*6)**2 + (4*(-3 + -2 + sqrt(448)) + 0)**2 + 2.\nAnswer: -1280*sqrt(7) + 588178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 32 = 4*b + b, -5*r + b = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8074 + 12925 = 539*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*g = 3*g - 3, 0 = 5*q + 5*g + 5. Let u be 2\/(-5) + 4\/10. Let d(s) = -2*s**2 + 3*s - s**3 - 2*s + u*s**3. Determine d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 + 142 = 3*r. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1452050 - 2?\nAnswer: -1452052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 8815660?\nAnswer: 44078300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 137383\nAnswer: -68\/137383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -982 + 986. Solve 0 = p*n - 0*n + 4*k, -4*k + 2 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*l**3\/9 - 17678*l**2 + 190910*l\/9 - 10606\/3 = 0. Calculate l.\nAnswer: 1\/5, 1, 15909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 3*l + 3. Let d be o(1). Put d, 1, 3 in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-1026)\/(-60))*6*(-54)\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3 + 0 + 83 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 97967*f**2\/2 - 195931*f + 195930.\nAnswer: -(f - 195930)*(f - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176662536 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5955 = b, -2*c = -5*b - 4941 - 24795. Is 8\/(48\/30) - b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.002 and 38809.335.\nAnswer: 38809.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31848, -63630, -95412, -127194, -158976, -190758?\nAnswer: -222540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1301052514 + -5?\nAnswer: -1301052523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-20)*(-40)\/48*3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 721823953789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2142250 (base 9) to base 5\nAnswer: 243243330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3\/(2 - 1). Suppose 7 = 5*a + j*s - 8, -2*a - 4*s + 22 = 0. Calculate the remainder when 21\/6*8\/a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3601867 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4 - 923*w**3 + 13282*w**2 + 153932*w + 247368 = 0.\nAnswer: -937, -6, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 4)*(24*y**2 + y**2 - 2*y**2) to the form o*y**2 + a*y + h and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -38. Solve -3*x + w = -0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**2 - s + 4. Let d(z) = -7*z**2 - z + 3. Let m(q) = -4*d(q) + 3*k(q). What is the second derivative of m(v) wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 2*f**2 - f. Suppose -13*s = 527 + 1631. Let g = -169 - s. Let v(r) = 3*r**2 + r. Calculate g*u(q) - 2*v(q).\nAnswer: -3*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -95 times -0.44\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40546223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4401, 35080, 118335, 280452, 547717?\nAnswer: 946416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r + 2 = 0. Let w = r + 4. Let j(l) = 7*l + 3. Is 17 a factor of j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:14 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - o + 1. Let u be z(1). Let f be 6\/(-2) - (9 + -15). What is the units digit of (-11)\/u*-1*f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let s be 5\/(1*-1)*(-36)\/30. Suppose -s*a + a = 0. What is the nearest to a in 0, -5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4097 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1674 and 18947169.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16499998*p + 2. Let f(w) = -w + 1. Let b be f(-2). Suppose t + 0*i - 14 = -3*i, b*t = -3*i + 12. Let k be h(t). Round k to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80628177, 161256361, 241884545?\n\"Answer: 80628184*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-79742)\/(-234) - (-4)\/18. Let m be (-3)\/1*4\/(-3). Suppose -423 = -m*w + u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13872633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 191577*b. Let n(q) = -q. Give r(n(a)).\nAnswer: -191577*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1805\/3 + -609. Calculate the common denominator of -1\/45 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 39 = 37*r - 400 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -80*b + 3682. What are the prime factors of k(0)?\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r**3 + r**3 - 3*r**3)*(2 + r - 2) + 21*r**4 - 2*r**4 - 12*r**4)*(-1 + 1 + 4).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-40))\/(15\/(-225)). Let y(o) = 3. Let u(v) = -8 + 4 - 4 - v. Let n(d) = 2*u(d) + 7*y(d). Let g(w) = 4*w - 11. Determine p*n(t) - 4*g(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 1:41 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -30 + -5 + 10 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012577 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29\/(174\/268)*1*9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 10a4?\nAnswer: -10a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5. Let v be l\/2*-2 + 3. Let u be 2 + -1 + 0 + 4. Solve u*x = 5*i + 40, i - 2*x = v*i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-7*(-3)\/(-441).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -2 + 2 + -3 - -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 2:04 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -55354 in decreasing order.\nAnswer: 5, 4, -55354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/3)\/w)**(-3\/5)\/((w*w**13*w)\/w**(-2\/19)) assuming w is positive.\nAnswer: w**(-1454\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73181\/3 != 24394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*-10 + (77 - 32). Put -5, u, 18 in descending order.\nAnswer: u, 18, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 2 - 2)*(13*w**2 + 2*w - 3*w**2 - 3*w**2) to y*w**2 + g*w + a + z*w**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 3.\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-1 - 4 + 3) + 4 - 8 + 5 + 0 + 4 - 1)*(3*l + l - 6*l).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o. Suppose o = -2*j - 2*j + 1052. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1964*o - 1512. List the prime factors of t(15).\nAnswer: 2, 3, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/11 - 6*u**4\/11 - 8*u**3\/11 = 0 for u.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 5. Let m(y) = -7*y - 5. Let o(b) = -4*d(b) - 5*m(b). Let n(c) = 13*c + 9. Let s(h) = 4*n(h) - 7*o(h). Differentiate s(l) with respect to l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 301, 247, 159, 25, -167?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {w: 3, s: 5, q: 2, i: 8, z: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -39*k + 40*k. What is the highest common factor of k and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:30 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1495, 4\/7, 6, -1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 + 34*t + 46. Let u be o(-13). Put 5, u, 4 in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 3711003473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*f + h - 20, -3*f - 5*h - 19 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from ojucjjwccjjcooojoo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-121)\/2)*(3780\/(-54))\/770?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*-15*4\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-1\/2)*p)*p)**(2\/139) assuming p is positive.\nAnswer: p**(-1\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -90\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -116*f + 0*f**3 - 1\/20*f**5 + 0 + 0*f**2 - 1\/6*f**4. Let s(r) = -6*r**3 - 15*r**2. What is -6*s(c) + 45*w(c)?\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -9*f + 102 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 at most as big as -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 22*d**2 + 6*d**3 - 7*d**3 - 10 + 0*d**3 + 49*d. List the prime factors of o(24).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m + 83*m - 2*f - 46 = 0, 4*f + 32 = -4*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 7 - (-20 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 142\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844, 1582, 2264, 2884, 3436, 3914, 4312?\nAnswer: 4624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 57 = 68 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308 (base 15) in base 8?\nAnswer: -7732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/4419252 and 61\/146421.\nAnswer: 48611772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -635*h*w**3 - 101*h*w + 17289*w**5 - 35*w**2 + 705 wrt w?\nAnswer: -3810*h + 1037340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172183 - 519992571\/3020. Find the common denominator of 38\/45 and a.\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 85*h**2 - 201*h - 2381. Give t(-87).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 103372543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 12 (c) 2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 754, 1240, 1484, 1504, 1318, 944, 400, -296?\n\"Answer: 3*j**3 - 139*j**2 + 882*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/192*4 + 111\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2622)\/4*-2)\/(1 + -2). Let l = 65547\/50 + p. Suppose 7*y + 0*y = 0. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742*g**5 - 9283*g**4\/5 - 4*g**3 + 1855*g**2 + 746*g + 8\/5 = 0. What is g?\nAnswer: -2, -1, -1\/2, -4\/1855, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*y - 2*y + 40*y - 11160. Calculate the remainder when 950 is divided by y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 44 = -47 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*x**4 - 2*x**2 + 4*x**4 - 85*x**5 - 61*x**2 + 80*x**5 wrt x.\nAnswer: -300*x**2 + 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -1. Let x = -7.7 + j. Let y(l) = l**3 - 4*l**2 - 13*l + 6. Let r be y(6). Which is the third biggest value? (a) -0.2 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z**2 - 3*z - 5. Let v be g(4). What is the remainder when 38 is divided by ((-2 - v) + -1)*(-13)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 12:17 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**3 - 25*f**2 - 281*f - 6. Let n(o) = -12*o**3 - 29*o**2 - 281*o - 7. Let k(c) = -7*b(c) + 6*n(c). Find the second derivative of k(v) wrt v.\nAnswer: 114*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1368\/7 + 4517\/21. Calculate the common denominator of 39\/11 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137760 and 2730.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/16 and 5\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47 (b) -1\/5 (c) 0.05 (d) -0.4 (e) 3\/9992\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-21)\/9)*-7. Suppose 101 = f - 3*c, g*c + 83 + 128 = 2*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2514, 5051, 7634, 10287, 13034?\nAnswer: 15899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9*c = 163042. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59316 divided by 6\nAnswer: 9886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81)\/54*2\/(-3)*4. Put l, 6, -5 in descending order.\nAnswer: 6, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i + 5*i - i**3 + 7*i**2 + 7 + 4*i. Calculate the remainder when f(6) is divided by (3069\/66 - 6)*2\/3.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.0982349 rounded to three decimal places?\nAnswer: 27.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 112 - 106. Let d be -2 + -3*(8 - 6)\/(-2). Sort -3, d, n, -0.5 in decreasing order.\nAnswer: d, -0.5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(2448) + sqrt(2448)*-2) - ((-1 + sqrt(2448) - sqrt(2448)) + 3)**2).\nAnswer: -240*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuyu when four letters picked without replacement from {y: 6, u: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2161 divide 48987613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 75*r**3 + 143160*r**2 + 68458887*r + 136345734 = 0.\nAnswer: -4767\/5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/(21\/(-1032)) + (-1)\/1 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009643651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11683.\nAnswer: 7, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 21, 320, -3, 8, 0, 5 in decreasing order.\nAnswer: 320, 21, 8, 5, 0, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14056166.67 and 169023?\nAnswer: 14225189.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23595\/4039 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229 - 140. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 11*g + 123 + 16 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z*z**(-2\/3)*z)\/z))*z*z**(-5))**(-5\/13)\/(((z\/z**(-7\/2))\/z)\/z**(-3)*(((z*z\/(z*z\/(z*z*z\/(z\/(z\/z**2*z)))))\/z*z*z)\/z)**10) assuming z is positive.\nAnswer: z**(-1987\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-36)\/(-360)*-35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 - 1 = 4*x, y + x + 1 = 0. Solve 0 = s + 4*h + 7, -2*s = 3*s + y*h - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t. Suppose -6 = -4*m - 2*u, -5*m = -2*u + 2 - 23. Let v(l) = m*l - 2*l + 3*l - 7*l. Calculate c(v(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2857725 rounded to three decimal places?\nAnswer: 0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, p: 5, o: 2}. What is prob of picking 2 p, 1 k, and 1 o?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -263 + 263.3. Let t be 76\/36 - ((-104)\/36 + 3). Which is the third biggest value? (a) 0 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -25*h**3 - 18*h**2 - 22. Let q(n) = 18*n**3 + 12*n**2 + 15. Give -7*q(c) - 5*v(c).\nAnswer: -c**3 + 6*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 15*y**2 + 40*y - 524. What is the units digit of b(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 - 4*m + 20. Let r be c(0). What is the greatest common factor of r and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*(-1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*l**2 + 0)*(9*l - 7*l - 5*l) - l - 5*l**3 + l**3 + l**3.\nAnswer: 3*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 9*s**2 - 9*s + 8. Let r be m(8). Suppose -2*t + 5*t - 606 = r. Suppose 54 = -4*d + t. What are the prime factors of d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12081 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/3 (b) -1\/2 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1814*z - 1819*z - 3*v + 8*v - 16 = 2*v, 3*z + v = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1709595 divided by 7\nAnswer: 1709595\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 1. Let b(s) = -11*s - 215. Give b(x) + 2*k(x).\nAnswer: 3*x - 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 0 + -5.\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - 4?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -26434, 7, -1, -4, -2 in ascending order.\nAnswer: -26434, -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 8 + 8)*(10*p - 11*p**4 - 10*p).\nAnswer: 88*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:37 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32421102*y + 32421102*y - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k - 8. List the prime factors of c(-6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*b**3 - 116*b**3 - 53*b**3 + 178*b**3.\nAnswer: -63*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a27672 (base 11) in base 7?\nAnswer: 41040101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 467027777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -15, 4 in ascending order.\nAnswer: -15, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27620 and 27820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 + 168 = 4*v. Let o = v - 90. Let x be -2*o - 0 - (-3620002 + 0). Round x to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. What is the third biggest value in x, 2, -4, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001001100101110 + 11?\nAnswer: 11000001001100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**32\/o**(-1\/11) assuming o is positive.\nAnswer: o**(353\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2129, -17191, -58135, -137921, -269509, -465859?\n\"Answer: -2160*j**3 + 19*j**2 + j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + d + 0)*(3 - 2 + 1) + 6 - 4*d - 6)*(-45*d + 218 - 218).\nAnswer: 90*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k**2 - 81*k**2 + k - k to the form t + m*k**2 + i*k and give m.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 168*v**2 + 2*v + 338*v**2 - 169*v**2 + 8*v**3 - 1 in the form o*v**3 + j + d*v + x*v**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21 + 25*v**6 - 20 - 3*v**2 - 20*v**4 - 22*v**6 wrt v.\nAnswer: 360*v**3 - 480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23466.53527 and -38704.\nAnswer: -15237.46473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 1 (b) -0.4 (c) -3118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*v + 2 = -501*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*t + 4*t + 4, -2*t + 4*s = -2. Suppose 0 = -t*m - 68 + 73. Solve -j - m = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -37*j**2 + 1676*j - 488. Determine g(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -13.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3463761 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000841 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**22*b)**(-3\/22)*(b*b**(-35))\/b**(1\/15) assuming b is positive.\nAnswer: b**(-6161\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-5)*75\/30. Let i be (-2)\/9 - (-2492)\/c. Are i and 71 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 6286?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/120 - 7*o**5\/60 + 2*o**2 - 563*o + 1. Calculate i(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = h - 4*y, -5*h + 34*y - 35 - 171 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 1669392*l**3 - 139325451256*l**2 - 3010223361600*l + 1226381310000 = 0.\nAnswer: -22, 2\/5, 166950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/434 and 55\/166.\nAnswer: 36022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 + 4*d - 3. Suppose 0 = 9*o + 121 - 148. Let i(r) = 6 - 3 + o*r - 3 - 4 + 1 - 6*r**2. Determine -5*i(x) + 4*p(x).\nAnswer: 2*x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*l**2 + 29*l - 540*l**2 + 0*l + 280*l**2 to x + q*l + c*l**2 and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(833) + 0)*-3 - ((sqrt(833) + sqrt(833) + ((sqrt(833) - sqrt(833)*-3)**2 - sqrt(833) - sqrt(833)))*6 - (sqrt(833) + sqrt(833) + 1 + -4)).\nAnswer: -79971 - 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hghb when four letters picked without replacement from {g: 2, c: 1, b: 6, h: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-5)\/2)\/((-160)\/128)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 151 = 39. Solve 2*y - k = 14, -4*y + d*k - 27 = -67 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 27*t**2 - 190*t + 162. Determine m(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*sqrt(432).\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 - 6*j + 6. Let q be g(1). Find the third derivative of -22*x**2 + 872*x - 872*x + 2*x**2 - 57*x**q wrt x.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.6173957 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-14) - (-3)\/(-126)*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 235*v + 2575. Give o(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1621 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 547007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -104\/158565 and 127\/3410.\nAnswer: 317130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/4 + (-3)\/(-2). Let i = o + 0. Suppose -i*a = -8*a. Solve a = j + 7*h - 3*h - 18, 3*j - 22 = -4*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 2. Let h be s(0). Suppose 96082*r = 96113*r - 3782. Calculate the greatest common divisor of r and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4245 and 190.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012 (base 4) in base 16?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 343.163 + 0.837. Let f = n - 343.9506. Round f to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 7*r - 6. Let u be c(-6). Let o = u - 9. Let b = -12 - o. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512, -819, -1134, -1457, -1788, -2127, -2474?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**3\/3 - 3*i. Let h(r) = -r. Calculate l(h(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 16, 1489, 0 in descending order.\nAnswer: 1489, 16, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z + z)*(4*z - 2*z + 0*z) + 8 + 3*z**2 - 8 + 2*z**2 - 3*z**2 + 2*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2. Let z(d) = 124104*d**2 - d - 1. Calculate z(f(b)).\nAnswer: 4467744*b**4 - 6*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + v = -337, 5*v = 3*n - 353. Let f be -1*7*(n\/(-21) - -5). Suppose 3*r - 2 = -2*z, 4*r + 3 = 6*r + z. Solve f = -2*x + r*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4351\/109821 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683\/(-19107)*160\/1360?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m - 187. Let s(h) = 3*h - 94. Let o(g) = 2*p(g) - 5*s(g). Does 23 divide o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - 3.9. Let k = -8 - q. Let s = k - -3. Is -2 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, a: 2, y: 1, h: 2, x: 1}. What is prob of picking 1 w and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10336 + 2?\nAnswer: 10338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 172257 = 6*g + 165823. List the prime factors of g.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**5\/9 - 916*w**4\/9 + 52892*w**3\/9 - 51068*w**2\/9 - 17632*w\/3 + 5776 = 0.\nAnswer: -1, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 842 - 802?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4332814 * -0.07\nAnswer: 0.030329698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -2\/5, -6\/25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15255 + 563.57971.\nAnswer: -14691.42029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*o - 32, -4 = -3*d - 4*o - 3. Let f(z) = -3*z + 2*z + 123 - 128. Let r be f(d). Solve -c - c = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.887, -1, 4 in decreasing order.\nAnswer: 4, 0.887, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346252?\nAnswer: 2, 107, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149784654 and 19074?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.4, 61, -5, -1\/5, -0.76?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -292*q**3 + 2*q**2. Suppose -10 = 5*n, -5*r - 5*n = -3*r + 12. What are the prime factors of h(r)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.45 and 7.514.\nAnswer: -10.8953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 0*s**4 + 3*s**4)*(-167*s + 110*s + 4 - 4).\nAnswer: -57*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2. Let y(t) be the second derivative of -t**4\/12 - 5*t**2 - 2*t + 10. Let n = -15 - -17. Suppose 0 = 65*q - 64*q + n. Determine q*y(z) + 11*a(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from zkhzzhhhzzkzz?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10566 + 3522 + 3517 + 3526 + k**3 - 203*k.\nAnswer: k**3 - 203*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -29*w**2 - 49*w - 216. Let u(y) = 9*y**2 + 15*y + 72. Let j(p) = 4*b(p) + 13*u(p). Give j(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.639 and -177.\nAnswer: -175.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004942 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose p + 15 = -5*y. Let x be ((-10)\/(-6))\/(y\/(-9)). Solve 13 = -z - x*g, 0 = 5*z - 5*g + 2 + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10762700*50.\nAnswer: 538135000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - 15*m**3 + 0 + 2*m**3 + 11 - 61*m - 10.\nAnswer: -13*m**3 + 19*m**2 - 61*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 13*r**2 + 13*r + 16. What is the lowest common multiple of y(14) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + h + 5*h)*(2 - 6 + 2)*(2*h**3 + 2*h**3 + 1 - 5*h**3).\nAnswer: 2*h**4 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-46)\/4 - 0)*(-46)\/(-161). Which is the second smallest value? (a) -4 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -52*c + 13. Let r(h) = 26*h - 6. Determine 6*j(s) + 13*r(s).\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - 3*r + 7. Is v(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*f - 165752, 3*f - 207223 = -2*f - 2*n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Let b be (2 - -1)\/((-9)\/3). Let x be 1\/b - (-17)\/5 - 2. Sort -0.5, x, i in ascending order.\nAnswer: -0.5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + 194\/4. Let g = a + -43. Let r(c) = -11*c - 7*c**2 + 4*c + g*c. Let s(h) = -h**2. What is r(t) - 6*s(t)?\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3384 + -183?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -5*r - 185. Suppose 0 = -7*x + 114 - r. Calculate the least common multiple of x and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 5*x - 39, -9*x = 3*q - 12*x - 33 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28990 and 125890190?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007 is divided by 183?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:31 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -396891, 584 in increasing order.\nAnswer: -396891, 1, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 10*f - 2. Let d(r) = -1. Let i = 6922 - 6924. Determine i*d(a) + k(a).\nAnswer: -3*a**3 - 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j - 25*j + 12*j + 1 + 9. Determine c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 3\/11 (c) -0.4 (d) -1\/6 (e) 1\/29 (f) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 436*n**2 - 11644*n - 12084 = 0. Calculate n.\nAnswer: -1, 53, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*m = 399*m - 2915 - 10705 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 47 - 48 - 2*h**2 + h**2. Let o(q) = -q**3 - 5*q**2 - 2*q - 5. What is -5*i(b) + o(b)?\nAnswer: 4*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239 + -234. Suppose -3*s - o*d = -27, 0*s - 2*s = -d - 5. Solve 0 = -j + 3*i + 10, -s*j = -5*j - 5*i - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 277 and 2831771.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1084590 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 - 173. Let t be (-2)\/c*6\/(-14). Let a be 4\/22 + 4\/(-22). Do t and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 876439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/29)*n))**(-15)*n\/(n**(2\/17)\/n)*n**7\/n assuming n is positive.\nAnswer: n**(3376\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 236925 > 3080021\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 49. Suppose -a*w + 0*w = -15. Let o = w + 40. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/(x*x\/(x\/(x**(3\/4)\/x*x))))\/x)**(-43) assuming x is positive.\nAnswer: x**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81918 is divided by 59?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**44 assuming g is positive.\nAnswer: g**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8*r = -52. What is the smallest common multiple of r and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000506526245 to seven dps.\nAnswer: 0.0005065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68\/183 - 5779\/31476. Find the common denominator of b and -99\/14.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(18) + 3))**2.\nAnswer: 288*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -7 - (1 + 1)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*i = -11042, t = 3*i + 489 + 5007. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.088762l?\nAnswer: 7088.762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnunnnnnnn?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7. Let t = 88 + -60. Solve 5*i + t = -3*w, w + 18 = -3*i - y*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -26626 (c) 1\/7 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3883, 2\/5, -0.7, 1, 3 in ascending order.\nAnswer: -3883, -3, -0.7, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 145 - 6aa5?\nAnswer: -6960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1454*r**2 - 45*r - 135. What is the thousands digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -105*s + 109*s - a, -s - 25 = -4*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200021001 (base 3) in base 8?\nAnswer: 215251","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*h*q**2 - 6*a + 246*h**2*q**2 - 3*h**2*q - 7*h - q wrt q.\nAnswer: 2*a*h + 492*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i - o, -3*i - 2*i = 4*o - 10. Suppose -5*j = 5*b - 30, 4*b + 4*j = 3*j + 12. What is the first derivative of -i + 2*g**4 - b*g + 2*g wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let f(a) = 6*a**2 - 3*a - 2. Let v(g) = -f(g) + 2*u(g). Let o(y) = -5*y**2 + 4*y. What is 5*o(x) - 4*v(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -440.38 - -440.4. What is the third biggest value in -3.1, 3, -0.07, -0.1, m?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-624) - ((-3300)\/975)\/(-22)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.6. Suppose -2*n = -4*u - 13 - 11, -5*u = -n + 21. Let f be 1 + 4\/6*n. Which is the biggest value? (a) 1\/5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -477138 at least as big as -477164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let q = 7 + -7. Differentiate 2*j**n + 1 + 1 + q with respect to j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -428*y**2 + 889956*y - 299376 = 0. What is y?\nAnswer: 36\/107, 2079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/70566 and 71\/94088.\nAnswer: 282264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -78. Calculate the highest common divisor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 + -141. Solve 32 = -j*d - 5*u, 2*u + 0*u + 2 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13057*k - 6792*k + 8179*k + 16851*k.\nAnswer: 31295*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1142795 - 1142791 + 2285586 + 384*r**2.\nAnswer: 384*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814142\/83 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*h - 1134*h - 1153*h.\nAnswer: -1537*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 7*q - 2*q)*(-1402 - 30 + 163).\nAnswer: -2538*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-14763)\/(-2)*52\/91 and 39.\nAnswer: 54834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -366230 (base 7) to base 10\nAnswer: -67004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98451 - 4*p**3 - 196871 + 98455.\nAnswer: -4*p**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -7*w**3\/3 + 19. Let r(p) = -2*p**2. Give r(m(s)).\nAnswer: -98*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42305985, 42305986, 42305987, 42305988, 42305989?\n\"Answer: j + 42305984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*0\/2. Solve g = f + 3*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33968 by 2123.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2817, 11940, 26697, 41454, 56211?\n\"Answer: 14757*u - 17574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/w*w)**(3\/2)*(w\/w**(-2))**(-1\/52)*(w*w**(-1\/5)\/w*w*w*w)**(-28)*((w*w\/(w*w**(4\/3)\/w*w*w))\/w)\/w**(-3) assuming w is positive.\nAnswer: w**(-30631\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - r**5 + 0*r**5 + (0*r**2 + 2*r**3 + 0*r**2)*(-5*r**2 - 3*r**2 + 2*r**2).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 86770491442503.\nAnswer: 86770491442503.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*y**3 + 8739 + 16381*y - 16381*y - 8739.\nAnswer: 89*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + 3.08. Let j = -1269579 - -1269575.999965. Let c = v + j. Round c to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 4\/839, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 520889666.6.\nAnswer: 520889666.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -26?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*u + 85 = 131, -u = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221402 - 124234?\nAnswer: 42113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**4\/24 + h**3\/6 + 3*h**2. Let f be b(1). Suppose 4*k - 10 = f*k. Sort k, -2, 4.\nAnswer: -2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-2\/17)*i)\/i)\/i)\/((i*i\/(i\/i**(2\/5)))\/i))**(-1\/17)\/((i**(-2\/17)*i\/(i**7\/i))\/(i**(-2\/11)\/(((i*i**3)\/i)\/i*i))) assuming i is positive.\nAnswer: i**(31034\/15895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 28*a - 176 = 0. Solve -a = -3*o - 4*u, 4*o - 3*u + 0*u = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeusbss. What is prob of sequence esb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/3 + 269*z\/3 + 1506 = 0.\nAnswer: -251, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-66)\/12 - ((-15)\/(-10) - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(8\/(-224))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, p: 3, n: 2}. Give prob of picking 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/5)\/(z\/(z**4*z))*z**(8\/7)\/z*z\/z**(-7\/3) assuming z is positive.\nAnswer: z**(806\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + 72\/20*5. Solve 3*d + 7 - s = u, -4*d = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -132?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -910133726816813\/52698 + 17270745112. Let k = i - 2\/8783. Let g = 6303\/2704 - -18\/169. Calculate the common denominator of g and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 4 - 139) + 0. Let m = t + 146. Which is the closest to m? (a) 0.9 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-10)\/6)*-3. Suppose 3*x = 8 + v. Suppose 0 = -x*f - 6*p + 2*p + 233, 370 = 5*f + 3*p. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 626 = 185. What is the least common multiple of 30 and z?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4407.7774?\nAnswer: 4409.7774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10140797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -9.226.\nAnswer: -9.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70)*2 + sqrt(70))))*3 - -2*sqrt(70)*-1)*2)\/((-1*sqrt(110)*1)\/(sqrt(110)\/(sqrt(30)\/sqrt(3)))).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -17208?\nAnswer: -1720a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**3 - 5*l**2 + 36*l - 5. Let p(m) = 5*m**3 + 6*m**2 - 36*m + 6. What is 6*f(i) + 5*p(i)?\nAnswer: -11*i**3 + 36*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/3835 and -61\/390.\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/2, 353, 49 in ascending order.\nAnswer: 1\/3, 1\/2, 49, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 6*y**2 + 9*y - 2. Suppose -5*n + 3*n - 16 = 0. List the prime factors of k(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let q(h) be the third derivative of 11\/3*h**3 + 0*h**4 - 39*h**2 + 0*h + 0 + 1\/60*h**5. Determine l(q(x)).\nAnswer: x**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -268 - -660. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose 0*u + 24 = -4*u - q*f, 5*u - f = -23. Let p = u + 41. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 4, 1\/10, 72, -218?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = 3*k - 9, 4*k + 30 = 5*m. Suppose -2*g - 4*x + 162 = 0, -m*g + 162 = -8*g + 3*x. What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 2*v**2 + 3*v - 4. Let k be p(2). Let q = k + 1. Suppose -4*g + 5 + q = 0. What is the least common multiple of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4471331 (base 9) to base 16.\nAnswer: -24c1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {x: 4, v: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9045*0.2211.\nAnswer: 1999.8495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - -17)*3\/(-6). Let y(v) = v - 1. Let b be y(2). Suppose 2 = p + b. Solve a + o*a - p = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 258470 and 22150879?\nAnswer: 221508790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 14760*s**3 + 11612548*s**2 + 3696553440*s + 250888788544.\nAnswer: 4*(s - 1972)**2*(s + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 307169.079465 from -0.3.\nAnswer: -307169.379465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -733, -2901, -6505, -11539, -17997, -25873, -35161?\n\"Answer: x**3 - 724*x**2 - 3*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.65 - 13. Let z = h - 0.05. What is the second biggest value in -4, -0.16, z, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*c - 23 = -91*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/157735 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 48 - 36. Let f(t) = -1 - 2 + 4 + t. Let p(g) = 4*g + 4. Let n(z) = b*p(z) + 7*f(z). Differentiate n(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9748326 is divided by 30087?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = a - 4*a. Suppose o - 4*o - 5*w - a = 0, 2*o - 19 = 5*w. Let n be (12\/(-54))\/(1\/(-9)). Solve o*k + d = 3, -5 = -d - n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 166 - 54 = 0. What is the hundreds digit of 383 + (-5 - t) + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 52*s**2 - 666*s + 100. What is g(-15)?\nAnswer: 1765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eligxgelggelg. Give prob of sequence egg.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-16)*(364\/(-21) - -12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*j**2*z - 2609*j**2 + 12*j*z**4 with respect to z.\nAnswer: -130*j**2 + 48*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143616767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 1092527462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2941520, 2941513, 2941502, 2941487, 2941468, 2941445?\n\"Answer: -2*w**2 - w + 2941523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.49284 minus -229?\nAnswer: -2.49284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 5*g + g + (-20 - 10 - 43)*(1 - 5*g - 1).\nAnswer: 360*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from wewewew.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + y - 1 + (2*y - 5*y + 2*y)*(-11 + 39 + 10) + (y - y - y)*(-5 + 3 + 4) in the form i + o*y and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.639 take away -5359?\nAnswer: 5358.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) - (8\/(-14) + 145233\/636174).\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vttvvvvvvtvtvv. What is prob of picking 4 t?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29832, 32087, 34342, 36597, 38852, 41107?\nAnswer: 43362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -152a24 + 4?\nAnswer: -152a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3659922861.\nAnswer: 3, 7, 19, 9172739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let i(c) = -3*c**3 - 5*c**2 - c + 1. Let r(x) = i(x) - 2*o(x). Let y(l) = 4*l**3 + 6*l**2 - l - 1. Give 6*r(z) + 5*y(z).\nAnswer: 2*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a - 50*a**3 + 12*a**3 - 13*a - 17*a**3 in the form j*a**3 + v + g*a + c*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4889409 litres to millilitres.\nAnswer: 488.9409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Suppose 0 = -3*o + j - 2*j + 11, -4*o + 19 = -3*j. What is the third biggest value in -2\/7, o, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*z**5 + 378177*z**3 - 13151212*z**2 wrt z.\nAnswer: -3300*z**2 + 2269062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27222263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and -20.958405?\nAnswer: 20.898405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4 = j + j, 0 = -5*s - 2*j - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -51, -85, -173, -339, -607?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, n: 5}. What is prob of picking 3 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbt when three letters picked without replacement from tththjwttjhbjwtw.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8533)\/14)\/53 + 8.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8734?\nAnswer: 2, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 23190 = -3*j, -371*j - 6 = -372*j. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429*j + 24147 = 438*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -615, 4, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 1. Calculate the remainder when 29 is divided by p(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t - 242 = 2*u, 13*t + 146 = 1087*u - 1089*u for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170305 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3893 * 1.4278\nAnswer: -5558.4254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 165 - 1038 = 253 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2168614678, -2168614680, -2168614682, -2168614684?\n\"Answer: -2*f - 2168614676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, i: 4, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 117 - 5*w**2 + 239 - 119 + w**2 - 2*w**2 + 0*w**2 + (0 - 2 + 3)*(-2*w**2 + w**2 + 3*w**2) - w**2 - 4*w**2 + 2*w**2.\nAnswer: -7*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 35. Let s(b) = -b**2 + 8*b - 7. Let d be s(c). Suppose -3*y + 2*l + 75 = 0, y = -d*y - 4*l + 39. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effzfpp. What is prob of picking 2 p, 1 z, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -6\/7, -982 in increasing order.\nAnswer: -982, -168, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 150.7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13245 (base 9) in base 13?\nAnswer: -40c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 393484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5392 + 30547. List the prime factors of w.\nAnswer: 83, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1157 - 8076\/7. Let j = 595\/12 - 97\/4. Let k = -73\/6 + j. Find the common denominator of k and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) 0.1 (c) 9369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3856*c. Let n(w) = 224*w**2 + 3*w. Determine n(t(p)).\nAnswer: 3330596864*p**2 + 11568*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/120 + d**5\/10 + d**4\/4 - d**3\/2 - 5*d**2. Let n be x(7). Does 13 divide (-432)\/n + (-7)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -1595, -12, -4, 16\/33, -5?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y = -102152 - 23944. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 16*s - 1008 = 0. Calculate the least common multiple of s and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 4*n + q + 12, -2*n + 550*q - 549*q - 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/((l**14\/l)\/l)*l)\/l*l)\/l)\/(l*l**(-1\/12)))\/(l**17*l\/(l*l**14)) assuming l is positive.\nAnswer: l**(-179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2, 221, -770, -7 in descending order.\nAnswer: 221, 2, 1, -2, -7, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 178*k**2 - 41810*k + 695. Determine g(312).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 971\/4 - 2\/(-8). Suppose 3*g + 3*v - n = 0, 8*g = 3*g + 4*v + 423. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31121*t**3 + 31113*t**3 - 5*t - 62233*t**3.\nAnswer: t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205586 (base 11) to base 16.\nAnswer: 506f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + sqrt(832) + 1 + sqrt(832))*-4 + 2 + sqrt(832) + 1 + sqrt(832) + 4.\nAnswer: -80*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -383.12 + 392. Let t = x - -0.12. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97560 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 - 4*s**2 + 3*s - 2. Determine y(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 7*n - 6. Let t(i) = -i**3 + 3*i**2 + 4*i + 1. Let m be t(4). Let b be 42\/(-6) + m + 2. Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in 3\/2, -56, -0.1, 36, 1\/2?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55420265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.37, 0.1?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 105\/91 + (1 - (-45)\/(-39)). Let u = 11.4 + -12. Which is the nearest to u? (a) 0 (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3 - 1\/12*v**4 - 9\/2*v**2 + 6*v + v**3. Let g(o) be the first derivative of s(o). Factor g(t).\nAnswer: -(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.02 (b) 2\/107 (c) 0.2 (d) -3\/2 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-24))\/((-80)\/(-640))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -587302, -587408, -587524, -587656, -587810, -587992, -588208, -588464?\n\"Answer: -v**3 + v**2 - 102*v - 587200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 879892 and 6.\nAnswer: 2639676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(343)*2))\/((sqrt(21) - sqrt(336)*-1)\/sqrt(3)).\nAnswer: sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, -24, 2 in ascending order.\nAnswer: -24, -12, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/3, -2\/5, 0.45, -26, 1\/12.\nAnswer: -26, -3, -2\/5, 1\/12, 1\/3, 0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 36*s**2 + s - 2. What is the units digit of d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -b - 4*y, -2*y + 99 = -3*b + y. Let r = 19 - b. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -eccb (base 15) to base 10.\nAnswer: -50141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 18 - 14. Suppose 0*h + 2*h + p = 0, -s + 19 = -h. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 + 144*k**4 - 1272*k**3 + 1616*k**2 + 3036*k = 0. Calculate k.\nAnswer: -1, 0, 3, 11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - x. Let l be j(0). Suppose 0 = w + 1, -2*n + 4*w - 18 + 4 = 0. Let q be 3*((-6)\/n)\/(-1). What is the nearest to l in -1, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 57 = -2*t - 3*k, t + 55 = k. Let q = t - -46. Let n = -2 - q. Let i(y) = y**3 - 5*y**2 - 8*y + 5. What is i(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - r + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 69449. Let h(r) = -r. What is h(g(i))?\nAnswer: -2*i - 69449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/13)*b**(-11)\/b)**(24\/5)\/((b**(-2\/3))**35*(b**(1\/4)\/b)\/(b\/b**(1\/18)*b)) assuming b is positive.\nAnswer: b**(-60919\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*f + 5*t - 4, 0 = -2*f - t - 15. Let c = 11 + f. Suppose c*w = 5*i - 29 - 76, 5*i + 3*w = 105. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 89. Suppose -5*h + q + q - 114 = 0, -45 = 4*h + 5*q. Determine w(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53575 plus 18170?\nAnswer: 18170.53575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -9)*2\/4. Find the third derivative of 905*t**2 + t**f - 3*t**5 + 3*t**5 - 894*t**2 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16394231933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 + 10*b - 2. Let n be h(-2). What is the greatest common divisor of n and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -342445045026 + 2.\nAnswer: -342445045024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.3, -50466, -2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*k + 2 + 34 = 0, 4*j = k + 36. Suppose 0 = -21*q + 19*q - 2, -a + j = -3*q. Solve -a*w = 1 - 31 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4 = -10. Find the second derivative of 366 - 186 - d*g**3 - 2*g - 159*g**4 - 192 wrt g.\nAnswer: -1908*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -324, -0.4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 30 = -37*h - 134, 42*k - 47*k + 30 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 31. Let s(p) be the second derivative of -7*p**4\/12 + 2607*p. Calculate s(z(f)).\nAnswer: -7*f**4 - 434*f**2 - 6727","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 19.6\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:45 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + -5)*(-1760)\/56.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34730 and 302?\nAnswer: 34730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -757, -2591.\nAnswer: -2591, -757, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + 5*b + 6. Let i be v(-1). Suppose -o + 2*n = -256, n = -i*o + 1155 + 125. Does 59 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.19208178 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7875, -7904, -7933, -7962?\nAnswer: -7991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*s**4 - 18*s**4 - 11*s**4 - 21*s - 3*s**2 - 37*s + 2*s**3 + s**3 to u*s**2 + t*s**3 + r + h*s + y*s**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*p**3 + 9 - 28*p**2 + 43 + 28*p**2 wrt p?\nAnswer: 93*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -7, -11, -17, -25, -35, -47?\n\"Answer: -h**2 + h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 9 + 3 - 95191*f.\nAnswer: -95191*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 10*f**2 - 6*f + 2. Suppose -4389*b = -4407*b + 126. Calculate i(b).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976 divided by 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73976 in 2\/19, -2\/9, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 2. Let j = 3 + 0. Suppose j*g + 10 = g. Let u(w) = -w - 1. Let f(b) = g*x(b) - 6*u(b). Differentiate f(y) with respect to y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o + 1. Let m(r) = -7*r**2 - 52*r + 6. Calculate m(h) - 6*u(h).\nAnswer: -h**2 - 46*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (9 - 15) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -60 (c) -2 (d) 9.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + -4.04. Sort -3\/4, j, 5 in descending order.\nAnswer: 5, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/14)\/((-2)\/(-4)). Let w be (-2)\/3*(1 - 5\/(-10)). Which is the nearest to w? (a) l (b) -0.2 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177921 + 177921 - 24*k**2 - 16*k**2.\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 + d**2 + 7*d + 6. Let m(y) = y**3. Let f(t) = -5*m(t) - v(t). List the prime factors of f(-3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 17. Let v(a) = 3*a. Let l(w) = u(w) + v(w). Let g be l(-3). Solve x + d = -0*d + g, 4*x - 4*d = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-3)\/(-4)). Suppose -484 = 3*v - 6*v + k, 2*v + t*k = 328. What is v rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:40 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 8:06 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 70. Let u be (-2)\/7 + (-3)\/n. Sort u, -0.4, -0.1.\nAnswer: -0.4, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2604*c**2 - 18*c*l**2 + 34*l**2 - 65*l wrt c.\nAnswer: -5208*c - 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6409020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let g(q) = -q - 29. Give -g(w) - 2*h(w).\nAnswer: -w + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 31*v**2 - 31*v - 43. Calculate z(32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 0 in decreasing order.\nAnswer: 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6620050*n = 6620146*n - 1152 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169\/((-12)\/18 - -1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67499 to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -5*u + 268 - 246, u = 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 1, o: 1, i: 1, d: 2, v: 1}. Give prob of sequence om.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 - 57*v**2 - 44*v**2 as z*v + o + n*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.72 - 7.42. Let h = t - -3.69999842. What is h rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1818*x**2 + 2*x**3 + 1819*x**2 + 2*x**3.\nAnswer: 4*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d**(3\/2)*d)\/d*d*d))\/(d\/d**15*d) assuming d is positive.\nAnswer: d**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.08 - 0.08. Let b = 24 + -28. What is the nearest to 0.2 in b, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6670 + -1316. Is b a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 16. Let g = 21 + o. Solve -5*d + 28 = -4*f, 4*d - g = f + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4519, -3801, -3083, -2365, -1647, -929?\n\"Answer: 718*p - 5237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9340 - 9324. Let o(a) = -a**3 + 15*a**2 + 14*a + 9. Determine o(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 8, l: 5}. What is prob of picking 1 l and 1 v?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61678, -61697, -61716, -61735, -61754?\n\"Answer: -19*y - 61659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-33)\/15 + (-1)\/60*-17.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 23.7. Let b(s) = s**3 - 9*s**2 - s + 12. Let a be b(9). What is the closest to -1 in -0.2, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1470 - 1029 = 63*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2107098330 smaller than -2107098329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 43, -16, -109, -242, -421, -652?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 111011442.601 and -0.0501.\nAnswer: 111011442.5509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 514\/(-440)) + (-42)\/(-231) and 99\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 10*f - 24 + 7 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -32.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3641 + -3641. Which is the nearest to 2\/3? (a) l (b) 4 (c) -47 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*n - 4, 2*g = -57 + 49. Is -1\/2018 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83285 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -541 - 0?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118 + (-34 - 23) - (1 - -9)) + -12.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -0.0128\nAnswer: -0.9872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2) - 1) + -7. Let v = -7 - n. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-9)\/33)*23\/(-19 - 4).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -239 + 243. Sort 5, -16, q in descending order.\nAnswer: 5, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-16) + 282\/(-24). What is the common denominator of 13\/7 and n\/(-6) - 86\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 55*x + 69 + 16*x - 24*x - 210.\nAnswer: -63*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 1. Let g(d) = 3*d**3 - 15*d**2 - 12*d + 119. Let j(b) = -g(b) - 5*l(b). Differentiate j(q) with respect to q.\nAnswer: -9*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490800669 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 32 = 0. Let r = -11 + b. What is the common denominator of 71\/2 and r\/11*9*-1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 409366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.82 + 11. Let c = 0.1799984 - v. What is c rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, -1, 2\/23, -0.7 in decreasing order.\nAnswer: 1\/4, 2\/23, -0.7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*k + 50*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322078074 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*o = -2*o, 2*h = -3*o + 35. What is the lowest common multiple of h and (-1)\/(-5)*-1 - (-513)\/15?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 31509.\nAnswer: -2\/31509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/31 or 3?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149201 is divided by 16572.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28587136 divided by 16.\nAnswer: 1786696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 + -113. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:59 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 626.2 - 626.1. Let f = 3.07 - 0.07. What is the closest to f in 4\/5, -1, z?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 - 2. Let q(f) = f**2 + 1. Calculate j(a) + 5*q(a).\nAnswer: 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-126))\/(10\/(-12))*72\/8?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 334*w**2 - 164*w - 36. What are the prime factors of o(-5)?\nAnswer: 2, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3\/(27\/(-129)). Let p be ((-14)\/(-6))\/((-1)\/(-6)). Let t = p + v. Do t and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (0 + 1)) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/5))*h)\/((h**(-9)\/h*h)\/h))**(4\/7) assuming h is positive.\nAnswer: h**(216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 284679*v**3 + v**2 - 3244432*v.\nAnswer: 1708074*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22736)\/344)\/(-29)*-43?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**5 + 5*z**3 - 32*z**2 wrt z?\nAnswer: 240*z**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -4)*3\/(-2) - -1790 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 13662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 182\/56 - ((-58)\/104 + 0)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 104 - -0.0161\nAnswer: 104.0161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 7. Let j be i(-10). Suppose -j*s = 4*t - 2*s - 21, t = -s + 6. Calculate the smallest common multiple of 7 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3 + 117*w**2 + 1077*w - 1197 = 0?\nAnswer: -21, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Let r(k) = k**2 - k + 9. Calculate the remainder when -3*2\/(-3) + 14 is divided by r(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -2\/5 (c) -55 (d) 380 (e) 5 (f) 2 (g) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 767, 1151, 1535?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.5 - -0.5. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)*y*y**(5\/2)*y)\/(y**(6\/5)\/y)**(-7) assuming y is positive.\nAnswer: y**(629\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 42. Let d = 3399\/7 + -218646\/455. Let m = d - 24\/5. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 - -864. Let p = 266 - f. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 197, 287, 361, 413, 437, 427, 377?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 33, -138, -3, 421, 2 in ascending order.\nAnswer: -138, -5, -3, 2, 33, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/24 + 19*l**3\/12 + 23*l**2 + l - 231. Factor v(b).\nAnswer: -(b - 23)*(b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*-0.17\nAnswer: 0.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 22 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2135 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(242) - (0 + sqrt(242)) - sqrt(512))*3.\nAnswer: -48*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.949542 decades in months?\nAnswer: 1193.94504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1850434, 1850432, 1850430, 1850428, 1850426?\nAnswer: 1850424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*i + 0 + 6 = 0, 3*u = -5*i + 26. Let 2*n**2 - 7*n**2 - 4*n**3 + 8*n**4 + n**u = 0. Calculate n.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22338863 and -22338859 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86\/11 + -677\/88. Which is the nearest to 0? (a) 0.2 (b) -4 (c) 2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k\/(k*k**(-1\/2)))\/k)\/k)\/k)**37\/(k\/((((k\/k**0*k)\/k)\/k)\/k))**(3\/5))**(-31))**(-4\/15) assuming k is positive.\nAnswer: k**(-58094\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 15 - (-135 - -136).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 16629*k**2 + 9*k**4 - 16629*k**2)*(1 + 4*k - 2 + 5).\nAnswer: 36*k**5 + 36*k**4 + 8*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(30) + sqrt(30) + sqrt(750)*2))\/((sqrt(80)*2 - sqrt(80))\/sqrt(8)*1).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 832851 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 4*a**2 - 7*a - 4. Let d be b(-5). Let m(i) = 4*i**2 + 17*i + 7. Let c(k) = 3*k**2 + 11*k + 5. Let t(x) = 3*c(x) - 2*m(x). Determine t(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 20*v - 13)*(-4*v + 2*v + 3*v).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -9) + -5 + 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.7303 centuries in years?\nAnswer: 6673.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 30*k**2 + 13*k + 27. Let p be v(-6). Suppose -2*z + 0*z - 5*d + p = 0, -z + 507 = 4*d. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/(45\/(-22) + 2). Find the second derivative of 14*l**2 - y*l + 3*l**2 + l - 5*l wrt l.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r**4 - r**2*t**3 + 3*r - t**3 - 18*t**2 wrt r?\nAnswer: -144*r**2 - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28371 and 3120810?\nAnswer: 3120810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.271\nAnswer: 0.0542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(22 + -3)*1. Let o be 12\/30 - (-12)\/(-5). Let n = o + x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 1 + (-4 - -10) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141889*i**2 - 91*i + 266 wrt i?\nAnswer: -283778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 3. Suppose -4*k = 2*r - 8, 17 = -z*k + 8*k - r. Suppose 64 = 4*h + 3*a, -h + k*h + a = 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - 10. Let z = -23 - w. Let d(p) = -3*p**3 - 6*p**2 + 3*p + 7. Is d(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-102))\/((-2)\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 730 - 375. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**7\/210 - y**5\/24 + 3*y**3\/2 - 2*y**2. Let c(l) be the first derivative of g(l). Find the second derivative of c(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.914456mm to nanometers.\nAnswer: 2914456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.99455 years in months?\nAnswer: 371.9346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, w: 1, r: 4}. What is prob of picking 2 r?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 8*y - 7. Let w be t(-6). Suppose -3*c - 1 = w. Find the common denominator of (-24)\/(-6) + (-61)\/c and 37\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*h + 63*t = -81*h + 214*t + 437, 9 = -3*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i + 1. Let v(k) = 2*k**3 + k**2 - k - 2. Let p(b) = -v(b) - w(b). Let m be p(-1). What is the units digit of m\/(-2 - (-3 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -5, -3\/434, -4, 0?\nAnswer: -3\/434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 1402191155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**3 + 8*y**3 + 12*y**3 - 55*y**3.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(228)\/(sqrt(12)*-1) - ((sqrt(19) + 4 + 4)**2 + sqrt(19))).\nAnswer: 18*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 5. Suppose -2*j = -j - 5. Let h be y(j). Let b be -5 + (-1 - -2) + 1. What is the nearest to -1 in h, b, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.8962096 rounded to two decimal places?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -145, -0.4, 2.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 148*w - 153*w - 3*r, 0 = -4*w - r - 48. Sort 12, w, 1 in descending order.\nAnswer: 12, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/5 + 9130214*t\/5 + 20840201921449\/5 = 0.\nAnswer: -4565107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22434 + -1102?\nAnswer: -24041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/35 greater than or equal to 1808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 2\/7 (c) -688\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224 + 78 - 85)*(-35*y + 35*y + 6*y**3).\nAnswer: 1302*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30200881, -30200875, -30200869, -30200863, -30200857?\n\"Answer: 6*c - 30200887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-21))\/((8\/(-6))\/(-2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 - 671 = -115*x - 22*x. Solve -q - 5*s + 30 = 0, -x = -4*q - s - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 2. Let p be i(2). Let m be 24\/18 + p\/(-3). Factor 4\/9 - 2\/3*c**m + 2\/9*c.\nAnswer: -2*(c - 1)*(3*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 2*j + 10. Let q(p) = -1. Calculate -10*q(m) - z(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a415037 - 0?\nAnswer: a415037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3759 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**1))\/(m\/(m**(4\/5)*m)))**(7\/2) assuming m is positive.\nAnswer: m**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2214 - -6017. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*t - 120, -t = -h - 2*t + 128. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**2\/2 + 9*p - 5. Let s be u(7). Let v be ((-3)\/9)\/((-3)\/18). Solve m + s = v*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 239, 903, 2005, 3545, 5523?\n\"Answer: 219*b**2 + 7*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3605 - 3610. Put 5, v, 2 in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29383 and 27.\nAnswer: -29356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -7*h**5\/5 + 4*h**3 + 2045*h**2\/2 + 3341. What is the second derivative of a(p) wrt p?\nAnswer: -84*p**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82639 and -0.16?\nAnswer: 13222.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 >= 1521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annvnilivannlalnvln. What is prob of picking 1 n and 1 a?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2 + 38*i - 12. Let z(q) = -9*q**2 + 39*q - 12. Let n = -173 - -176. Let s(l) = n*r(l) - 2*z(l). Factor s(x).\nAnswer: -3*(x - 2)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37299, -74581, -111863, -149145?\n\"Answer: -37282*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (12 + 1 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 14. Determine s(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*f + 24, 2*f = -3*f + 2*l + 18. Let j = -2063 + 2096. Solve -27 = -f*v - j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3331 - -6702. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 9*s**2 + 23*s - 9. Let g be a(11). Factor -4*y + 3\/2 - 3\/2*y**g.\nAnswer: -(y + 3)*(3*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3429 + 5*f**2 - 12*f + 3445 - 4*f**2. Let o = -80 - -92. Calculate x(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36384, -36387, -36392, -36399, -36408?\n\"Answer: -s**2 - 36383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966943 is divided by 2948.\nAnswer: 2947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/12 + (-39)\/9. Let f(c) = -c - 2. Calculate f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*k**4 - 4*d**3*k**3 - 5*d**3 - 3*d**2*k + 4*d**2 wrt k?\nAnswer: 24*d**3*k**2 - 24*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.4892 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659*z**3 - 1594*z**3 + 303*z**3.\nAnswer: -632*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 3410450?\nAnswer: 3410453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, i: 1, t: 1, b: 1}. What is prob of picking 1 b, 1 a, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8404*h**4 - 6*h**2 + 36494*h + 5.\nAnswer: -100848*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -11*s**3\/6 - 51*s**2\/2 - 20*s. Let w be a(-5). Solve -h - h + u - 2 = 0, w*u + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:07 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*h**4 - 274.\nAnswer: -172*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -85. Calculate the smallest common multiple of 44 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26.816, 0, 62?\nAnswer: 26.816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6\/13, 154, -0.4, 0.01, 0.4 in decreasing order.\nAnswer: 154, 1, 6\/13, 0.4, 0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 191240824*x\/7 + 4571631595524872\/7.\nAnswer: 2*(x + 47810206)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 5. Let k = 65 - 69. Let f(n) = 3*n**2 - 6. What is k*f(i) - 5*u(i)?\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/60*-2*(-21604)\/(-189035)?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6263, -6328, -6367, -6368, -6319, -6208?\n\"Answer: 2*m**3 + m**2 - 82*m - 6184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - 1a134?\nAnswer: -1a151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*g - 80*g - 65*g - 77*g - 74*g + 382*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 21*v. Let q(t) = t. Let h be 1\/(-3) + (-53)\/3. Let m be 4 - ((-2)\/4)\/(7\/(-42)). Let n(g) = h*q(g) + m*l(g). Calculate n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*o = -1511*o - 954*o + 90*o - 201991 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -3899967.\nAnswer: 19\/1299989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25039, -50080, -75121, -100162, -125203, -150244?\n\"Answer: -25041*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5256826 to two decimal places.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and 14.35923.\nAnswer: 23.35923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -175793745 at least as big as -175793742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*o**2 + 7*f**3 - 1084*f**2*o**2 + 1375*f**2*o + o**2 wrt o.\nAnswer: -2*f**3 - 2168*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2276 - 1347. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -10521451?\nAnswer: 10521450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 2*f**5\/15 + 19*f**4\/12 + 2027*f**3\/6 + 249*f**2 + f. What is the first derivative of v(h) wrt h?\nAnswer: 16*h + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18400, 18358, 18242, 18016, 17644, 17090, 16318, 15292?\n\"Answer: -6*c**3 - c**2 + 3*c + 18404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*z**2 - z - 6*z + 7*z - 124*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((1 - 1) + 59)*(-2)\/42 and -13\/57?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 0*d - 1 + 0. Let i be z(7). Calculate the highest common factor of i and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 13. Suppose 5*f = 4*q + 29, 3*f - f = -q + c. Suppose 4*d = -4*a - 24, 2*d + 14 = -0*a - 3*a. Sort 3, f, a in ascending order.\nAnswer: a, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415916252 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + 6. Let v(b) be the first derivative of b + 2 + 1\/2*b**2 + 1\/3*b**3 - 1\/4*b**4. Calculate v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.4 and 13.4?\nAnswer: -72.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 5*k + 11. Let g be (-81)\/15 - 8\/(-20). Let o(n) = 2*n**2 + 2*n + 6. Let b(f) = g*o(f) + 3*r(f). Determine b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.639 - 0.739. Let b = -0.1 - -0.1. Let i = b + -0.3. What is the biggest value in i, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*l - 4*z = -72*l - 36, -z = 5*l - 17. Solve -5*x - l = 4*m, -9*x = 4*m - 5*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -620\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 - 295.6. Let u = w + 31. Let t = u - 2.3946. Round t to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 151*m**2 - 17*m - 22. Let i(l) = 50*l**2 - 6*l - 8. What is -17*i(x) + 6*j(x)?\nAnswer: 56*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 266*o - 3971. Give g(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/5 + (-40)\/(-200). Let x(o) = -o**2 - 1. Let h(u) = -2*u**2 + 6*u. Let b(c) = h(c) - 3*x(c). Calculate b(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2, -6.407.\nAnswer: -6.407, -2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + 6*(2*sqrt(39) + sqrt(39)))\/(sqrt(30)\/(-3*sqrt(10))).\nAnswer: -57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 9:22 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6875618?\nAnswer: 2, 41, 191, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-170) + 46\/115 - 3395\/(-476)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1685207696 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 160217 in 19, -1, 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/174324640 and -91\/320.\nAnswer: 348649280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 65061696?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -484 - -206. Let m = n + 318.8. Let f = m + -41.061. Round f to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w = -5*b - 12067, 4*w - 12082 = 5*b. Let z = b - -26588\/11. Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*((q*q**18*q)\/q)\/q)\/q))\/q)\/((q\/(((q*q**(2\/5))\/q)\/q)*q)\/q)*(q**0)**(-2\/133) assuming q is positive.\nAnswer: q**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 712\/32 - (2 - (-14)\/(-8)). Suppose -2*r + f = 5*o - 10, -3*r - 2*o = -26. Let n be r\/(-5)*(-30)\/9. Solve -n = i + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(704)*-3).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 238368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481659.6 kilograms to nanograms.\nAnswer: 481659600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -6 + 0 + 9 + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18626937 is divided by 545?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*o = -13, j - 4*o + 2 = -3. Solve r - j*r = t - 7, 5*r = 3*t + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/121)\/((-2)\/(-22))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**3 - 9*o**2 + 8*o. List the prime factors of f(5).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -52*q**2 - 13*q - 2. Let r(x) = -8*x**2. Calculate -n(a) + 5*r(a).\nAnswer: 12*a**2 + 13*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -723, -10666, -27223, -50382, -80131, -116458, -159351?\nAnswer: -208798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 - d**3 + d**3 + 4*d**3 + 4*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10100.468 or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + x**2 + 3*x**2)*(3 - 2 - 2)*(3 - 1 - 1).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4553866*a. Let x(h) = h. Give l(x(d)).\nAnswer: 4553866*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 156 = -188. Let r(v) = -140*v + n*v + 74*v. Let c(u) = -7*u**2. Calculate r(c(d)).\nAnswer: -140*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 823272 + -63392828\/77. Let d = 81\/7 + h. Factor d*z - 1\/11*z**2 - 1\/11*z**3 + 1\/11.\nAnswer: -(z - 1)*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 4*s = 3*m, 0 = -5*m - 4*s - 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.085 + -0.08. Let n = 0.118 + t. Let m = n - -0.0389. What is m rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 32*c + 5. Let p be d(16). Sort -2\/9, -1\/6, p, 1\/5 in descending order.\nAnswer: p, 1\/5, -1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - 22*g**2 + 45*g + 61. Give k(-8).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -215 + 249 - (7 + (-1)\/(-1)). Solve f + 5 = -31*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -22. Let z(a) = a**3 - 7*a**2 + a - 5. Let n be z(7). Suppose 24 = -2*b - n*b. Is b greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-3)\/15*25)*140\/(-6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 1 + 0 + 2. Suppose j + 20 = -5*a, -3*j - 5*a = 2*j + 20. Put 1, l, j in decreasing order.\nAnswer: 1, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 2, -1\/8, 2\/21, 38?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-4\/9))\/(v\/(v*v**(1\/21))))\/(v*v**(1\/3))**35 assuming v is positive.\nAnswer: v**(-2783\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11652275 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 12 + 44. Does 19 divide 2*((-764)\/q + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 6*t**2 + 5*t + 3. Let x be k(5). Let h(d) = -d**3 + 7*d**2 - 4*d - 7. Let n be h(6). Let m = x + n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238030 * -5\nAnswer: -1190150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049659301 a multiple of 696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -918 and -0.4?\nAnswer: 367.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 12:46 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 17\/13*h**4 + 136\/39*h**3 + 6\/65*h**5 + 18\/13*h - 56 + 46\/13*h**2. Let t(v) = 0. What is v?\nAnswer: -9, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36b - 197?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 65\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140329*-3.\nAnswer: 420987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948520 is divided by 152.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8518585 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmmmqmqmmmmmmm. What is prob of picking 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 228.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.2. Let k be ((-8)\/(-7))\/2*(2646\/(-140))\/(-27). What is the second smallest value in h, k, -0.6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -3352?\nAnswer: 3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 3*x**3 + 3*x**3)*(-1 + 1 + 6)*(-x - 3*x + x) + (3*x**4 + x**4 - x**4)*(1 - 4 + 1) - x**4 + 5*x**4 - 3*x**4.\nAnswer: -41*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 48*g - 266. Calculate a(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 3. Suppose 5*b - 4*i + 24 = 0, -3*b - 23 = -2*i - 9. Let h = b - -7. Calculate the remainder when l(6) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 14. Let d = 18 + -15. Put 4, o, d, -5 in ascending order.\nAnswer: -5, d, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19974060.882 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (2 + sqrt(112))*-2)*-5)**2.\nAnswer: 14400*sqrt(7) + 404100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -0*n + n, 2*n + 22 = 2*w. Put n, 2, -3 in descending order.\nAnswer: 2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5 + 1016*t**4 + 4053*t**3 + 5062*t**2 + 2024*t = 0. Calculate t.\nAnswer: -1012, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Let h be 102\/y - 1\/(-2). Let j = h - 16. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12) - 174\/8. Suppose 4*l - 4*w + 23 = l, -5*l - 3*w - 19 = 0. Let f = l - n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -1\/3, -17, -0.1, 5 in decreasing order.\nAnswer: 5, -0.1, -1\/3, -4\/9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wddd when four letters picked without replacement from wwwwwwddwwwwwd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 6144935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43, -72, -81, -70, -39, 12?\n\"Answer: 10*o**2 - 59*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1638, -6, -107 in descending order.\nAnswer: -6, -107, -1638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5836 + 5835. Let n be ((-3)\/4)\/(3\/1). Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101101010011111 (base 2) in base 9?\nAnswer: -474367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 506626857 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/(-4)*-1)\/((-4)\/(-496)). Suppose 8*i - 1467 + w = 0. List the prime factors of i.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1145, -2289, -3433, -4577?\n\"Answer: -1144*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 284 = -1. Suppose 0 = -2*q + 115 + 463. Suppose 163 = -3*m - 4*i, 2*i - q = m + 4*m. Are m and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 + 59 = -10*q, -2*q - 35 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14745091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5 - 48*r**4 + 524*r**3 + 1298*r**2 - 525*r - 1250 = 0. Calculate r.\nAnswer: -2, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191699 is divided by 1169?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/549825 and -42\/843065.\nAnswer: 12645975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2785*a + 34. Is c(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167*r**2*t**2 + r**2*t + 2*r**2 - 2*r + 96*t**5 - 5239*t wrt t?\nAnswer: -334*r**2 + 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**3 - 7*d**2 + 2. Let j(w) = 35*w**3 - 36*w**2 + 11. Let v(r) = 11*b(r) - 2*j(r). Find the third derivative of v(a) wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310 + 0 + 130\/26?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 6\/((-96)\/(-1618844)))*8\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 75015466.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -22)*(-34 - -37)*(343\/(-42) + 9).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 - -1*7. Suppose -3*p - s + 35 = 0. Suppose m + 4*f = -23, -f + 8 = 4*m + 25. Put p, 1, m in descending order.\nAnswer: p, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.9 - -5.9. Let m = 2075 - 2075. Which is the nearest to m? (a) 2 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 6*s**2 - 3 + 5*s**3 + 3*s**2 - 4*s**3. Let u(p) = -39*p - 309. Let k be u(-8). Give q(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + d - 23 = 2, -4*a + 45 = d. Sort 0, a, 2, 3 in descending order.\nAnswer: a, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5454\/108 - 53)*-9*(-14)\/(-357).\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25699, -51476, -77331, -103270, -129299?\nAnswer: -155424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100101011110111 (base 2) in base 4?\nAnswer: -3210223313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47\/5 + -161\/15. What is the common denominator of 13\/4 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*a + 298*a - 12*a.\nAnswer: 324*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1315 + 1483. What is the least common multiple of x and 203?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/32*-7*4. Let j = h + 33. Solve 0*b - 4*b + j = 5*r, -2*r - 15 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 11532.8?\nAnswer: -5766.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = 16. Suppose 0 = -4*g - 4*d - d - 11, 2*g - 17 = 5*d. Calculate the smallest common multiple of g and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 847 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/((-10)\/48 - (-5)\/(-40)). Let y = h + 207. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.55512 - 17.809. Round v to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v + 1320 + 722 + 565 = 0. What is the highest common factor of 2431 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379 - 813 + 0*u**2 + 1192 + 6*u**2 - 4*u**3.\nAnswer: -4*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -126 (b) -1\/19 (c) 4 (d) -1.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k - 1. Suppose 3*i - 4*s - 1093 = 0, 5*s = 3*i + 4*s - 1108. Let q(f) = -i*f**2 + 126*f**2 + 119*f**2 + 121*f**2. Give m(q(h)).\nAnswer: -65*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524 and 2719036?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - j - 212208. Suppose 3*c + h = j, -8842 = -4*c + 2*c - 5*h. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1386.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 - (0 - -2 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-6) - 60\/(-45)*1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(0 + sqrt(245) + (0 + sqrt(245))**2).\nAnswer: 84*sqrt(5) + 2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303598.\nAnswer: 2, 151799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {q: 2, k: 8, x: 4, i: 1}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 133 = -77. Solve m - 4*n = -q - 3, -5*m - n - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 284 + 295 = 0. Let v = -2.75 - -3. Put q, v, 2 in descending order.\nAnswer: 2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**3\/6 - 18*u. Let v(r) = 92*r. Give v(o(i)).\nAnswer: 92*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021782304 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 6 = 0. Let j(l) = -8*l**3 + 3*l**2 + 3. Let q(h) = -7*h**3 + 2*h**2 + 2. Let m be 18\/(-81) + (-29)\/(-9). What is i*j(v) + m*q(v)?\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.8 (b) -0.1 (c) 10 (d) -4 (e) 37 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-29673)\/(-93) + (3696\/372 - 10). Suppose -2*h = -0*h - 58. What is the greatest common factor of h and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -424, 2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose -16 = -4*f - v, -5*f = -v - u*v - 20. What is the nearest to -0.1 in f, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01244 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 9867 = 22*g. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100011111100111010 (base 2) to base 6\nAnswer: 3053430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257572.908 + -17.1.\nAnswer: 257555.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2275, 2349, 2423, 2497, 2571, 2645?\n\"Answer: 74*w + 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:18 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - w**2 + 1 + 6*w - 3*w**2. Suppose 18 = -3*v + 6*v. Let k be y(v). Let z(r) = -5*r**3 - 2*r + 1. Calculate z(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + (-10 - (1 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let w be ((-7)\/2 - 1\/(-2)) + -70. Let y = -68 - w. What is x(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74340 and 15930.\nAnswer: 223020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = i. Suppose 0*b - 3*b = i*v - 48, 0 = -5*b - 3*v + 74. Suppose -36 = -2*n + 4*c, n + 2*c = 5 + b. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + 0 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110111110110001000101 (base 2) to base 4\nAnswer: -12332301011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54016 and 1055?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1595561 rounded to 4 decimal places?\nAnswer: 0.1596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 123 - 5?\nAnswer: 11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 - 34*u**2 - 169*u - 40. What is q(9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 5. Let f = 12 + -10. Let l be t(f). Which is greater: 5 or l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -137 + 157 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 4*v = 13*c + 29, -2*c - 5*v = 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31761 * 1\nAnswer: -31761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 841 - 847. Let k = 0.2 + -0.3. Is h at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -46*n**4 + 38*n**4 + 92*n**3 + 3*n - 98*n**5 + 56*n**2 - 48*n**4 + 3*n = 0?\nAnswer: -1, -3\/7, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxxxaaxmmax. What is prob of sequence aa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(65) + (sqrt(65) + 1*sqrt(65) - sqrt(65)) + sqrt(65)))\/(6*(sqrt(5)*-1 + sqrt(5) - sqrt(5))).\nAnswer: sqrt(13)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4804 - 4801. Which is the fourth biggest value? (a) 1 (b) 2\/13 (c) 26 (d) -0.5 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 50535600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 12*a**2 - 7*a + 14. Give q(12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 159041 less than -6.1?\nAnswer: -159047.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 2*c**2 - 4*c - 7. Let t be w(4). Let n be t + 1*(1 - 4). Calculate the highest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134\/512817 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -199 + 268. Calculate the remainder when f is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + 3*u)*((-1 - 3 + 2)*(-3 + 6 - 2) + (3 + 1 - 5)*(0 - 2 + 3)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*l + 80 - 80)*((2 + 0 + 0)*(-6 + 0 + 4) - 4 - 5 - 1).\nAnswer: -980*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6 + (-35332)\/(-32) - (-4)\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/sqrt(4))\/sqrt(7))**2*-5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 108102060*g + 108102064.\nAnswer: -4*(g - 1)*(g + 27025516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -174\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 31 = -4*g, -2*f - 2 = 5*g + 12. Solve -3*w - 6 = f*v, 5*v - 6*v = -3*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*l + 5. Let j be (-1)\/(-2)*l\/(-5). Let h be (j\/(-4))\/((-1)\/(-2)). Is h at most as big as 9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + 0.11. Let i = j - 0.99. Which is the nearest to -0.1? (a) i (b) -2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*17\/(-595)*-35?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3 + 15\/6). Let r(y) = -5 - 1042*y**3 + 4 + 1043*y**3 + 0*y**2 - 2*y + 4*y**2. Determine r(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*-1)**2 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 34.7 times -4074\nAnswer: -141367.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Let q(x) = 2592642*x**2 + 5. Determine q(v(m)).\nAnswer: 10370568*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57654.24 weeks to milliseconds.\nAnswer: 34869284352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12222, 12233, 12256, 12297, 12362, 12457, 12588, 12761?\nAnswer: 12982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*w**2 - 99*w.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-3*(sqrt(11) - (sqrt(11)*1 + sqrt(11) + sqrt(11)))).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10261497 is divided by 1416.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (-2*sqrt(132)*-6 + sqrt(132)))\/sqrt(12)*1)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -3, -5, -1905679 in descending order.\nAnswer: 5, -3, -5, -16, -1905679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19*396\/(-1672)*(-4)\/(-297)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y - 5681993 - 697291 = -12*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -196316\/217 not equal to -904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -1.3 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302*b**5 + 217099*b**3 - 57*b - 173143 wrt b?\nAnswer: 6040*b**3 + 1302594*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 5. Let r(k) = -k + 2. Let q(g) = -17*r(g) - 6*v(g). Let t be q(-6). Suppose -o = o. Solve o*z - t*z = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 263 - 74 + 39 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168 + 162. Let o = 8 - 47. Let f(k) = -7*k**3 + 13*k**2 - 13. Let u(g) = g**3 - 2*g**2 + 2. Calculate d*f(j) + o*u(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + 0.16. Let w = q + -0.1. Which is the third biggest value? (a) -3 (b) 6\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 = -0*q. Suppose -d + 6 = d. Let y(f) = f**3 + 5*f**2 + 4*f - 1. Let u be y(-2). Solve d*h - q*p = 12, -4*h - u*p - 10 = -p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7997245.\nAnswer: 5, 1599449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3768*z**4 - 3*z**2 - 12478*z + 1 wrt z?\nAnswer: -45216*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -8691 - 1746. What is the derivative of 184 + x*m**2 + 2 - 497*m**2 - m**3 wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 6*a**2 - 17*a - 3. Determine l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 12*q - 5*t = 7020, 0 = -3*t + 9. Is q a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19751 is divided by 267.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2533772 and 1378603?\nAnswer: 1155169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + m - 3, 2*a + 14 = -9*m + 7*m. Put 1, a, -1, 2 in increasing order.\nAnswer: a, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2736)*1)**2 + -3 + -2 + (sqrt(76) + sqrt(19))**2*-2 + 3.\nAnswer: -96*sqrt(19) + 2408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(209)*1)\/(sqrt(1100) + (sqrt(1100) - 3*(3*sqrt(1100) + sqrt(1100)) - sqrt(1100) - sqrt(1100)) + sqrt(1100)).\nAnswer: 3*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 = 4*g - 92, 2*g = 4*l - 108. Let b = -42 + l. Let r = -10 - b. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.06.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5139.569 minutes to milliseconds.\nAnswer: 308374140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.6 + -4.6. Let q = -56 - -55. What is the third smallest value in q, f, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-1 + (-2)\/(-8)). Let d(n) = 3*n**2 + 2. Let l(t) = -t**2. Let q(f) = d(f) + 2*l(f). Calculate the remainder when q(x) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x + 5*x**2 - 2*x - 7*x**2 wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(121))\/(-4*(sqrt(11) - sqrt(66)\/sqrt(6) - sqrt(11))) - ((sqrt(11) - sqrt(44)\/sqrt(100)) + (sqrt(66)*2)\/sqrt(6)))**2.\nAnswer: 11979\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 47. Let c = 3 + u. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2. Suppose -3*w - 1 = -10. Let j(h) = -h - w*h + 3*h. What is s(j(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/18296052 and -47\/54.\nAnswer: 164664468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12899 is divided by 127?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7452\/297 - (-2)\/(-88)*4. Solve -u = -17*l - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1060 divide 19336520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1080167 + -0.108. What is f rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 15 = 31*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8 (b) -0.4 (c) 3.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = -9. Let j(p) be the second derivative of -p**5\/20 + p**3\/3 - 24*p - 1. Let d be j(h). Which is the closest to -0.1? (a) 2\/17 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -298, -301, -306, -313?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 635, 2520, 5659, 10052, 15699?\n\"Answer: 627*n**2 + 4*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 432*b - 41035. Determine a(-291).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-39) - (-4)\/6. Let m = -0.582 - 3.528. Let w = m - -0.11. What is the smallest value in 0.3, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/128121 and 37\/298949.\nAnswer: 896847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-57395)\/250 + (-12)\/(-150). Let n = s + 229. Let k = 0.21 - 0.3. Which is the biggest value? (a) -3\/7 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2054126 (base 7) to base 14.\nAnswer: -66916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.3. Let j = -7054 + 7068. Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -46*c**2 + 666*c - 666. Give q(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 7*l - 6. Let p be o(10). Let y = p + 50. Calculate the remainder when 54 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a microsecond in nanoseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55323.25138 + -55327. Let g = t - -0.84774. Let p = 2.9 + g. What is p rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14774499431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 8 + 8.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.427536 times -0.1\nAnswer: 0.0427536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l, 11*p + 115972 = 7*p + 8*p + 3*l. What are the prime factors of p?\nAnswer: 79, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 - 90*s**4 + 840*s**3 - 2250*s**2 - 843*s + 2340 = 0. Calculate s.\nAnswer: -1, 1, 5, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - s - 9723*s**2 + 9669*s**2 + s to the form h*s + q + l*s**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/31 in 293, -6\/5, -6.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5900147000 to the nearest one million.\nAnswer: -5900000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**4 - 94729*o**3 + 8*o**2 + 68471*o wrt o.\nAnswer: 120*o - 568374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25168 = -59*f - 45*f. What is the least common multiple of f and 88?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5 = 17. Let p be 7\/2 - 4 - (-85)\/k. Is p greater than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9000000*f**3 - f**2 + 1. Let x be q(-1). What is x rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - i - 45 - 138, 3*y - 111 = i. What is the least common multiple of 90 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3))**27 assuming g is positive.\nAnswer: g**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 422 and -7204.\nAnswer: -3040088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4554*a**2 - 298*a**2 + 702*a**2.\nAnswer: 4958*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1481 divided by -146\nAnswer: -1481\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, x: 2}. What is prob of picking 4 r?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*f - 107*f - 115*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(((((k*((k**2\/k*k)\/k)\/k*k)\/k)\/k)\/k)\/k*k))\/k*(k\/(k\/(k\/(((k\/k**(4\/9)*k*k)\/k)\/k)))*k)\/k)**(1\/26))**45 assuming k is positive.\nAnswer: k**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1216) + -3)**2.\nAnswer: -96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 a when three letters picked without replacement from {o: 1, m: 6, d: 10, a: 1, q: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovooxvxpavla. What is prob of picking 1 o, 1 x, and 1 l?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6741\/(-24))\/(-7) + -2. Let p = q - 46. Calculate the common denominator of 5\/131 and p.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e (base 16) in base 15?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 5*h**3 + 52 + 0*h**3 - 52.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21651 - -22873. Calculate the remainder when c is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + -3*(1*(-1 + sqrt(192)) - (sqrt(192) + 0 + 2))*6)**2*6.\nAnswer: 20886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {x: 8, q: 7, w: 5}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155798 is divided by 200.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490284862 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 2 + (-85)\/(-7) + (-6)\/42.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 9 - m**2 - 5.\nAnswer: -m**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2677460 and 3620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468, 361, 254?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1976 and -46\/22971.\nAnswer: 183768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 9*v + 1. Let f be d(9). Let r be -2*f - (-192)\/92. Sort 0.1, r, 1\/3 in ascending order.\nAnswer: r, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bubh when four letters picked without replacement from {u: 2, h: 1, b: 2, y: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 4*b**2 - 2. Suppose 4*u - 8*u = -8. Let v = 4 - u. Suppose v = k + 6. Calculate p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270adc (base 14) to base 10\nAnswer: -1346714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -8)\/(-5 - -2). Let p be ((-4)\/(-6))\/(1\/3). Let n = k - p. Solve -5*o - 5 = n, 0 = -6*s + 2*s - 2*o + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 14) in base 11?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = -4*f, 2*x = 4*f + 45 - 13. What is the remainder when 0\/x - (0 - 43) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -364828*b**2 + 2 - b**4 + 364830*b**2 + 0*b**4 + 752*b - 2*b**3 as h*b**4 + c*b + d + i*b**3 + x*b**2 and give c.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -20. Suppose 0*s + d*s = 0. Let i be (-1 + 2)*1*-5. Sort 2, s, i in increasing order.\nAnswer: i, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2196 from -4773.\nAnswer: -4773.2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/(2\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(-11 + 21356\/1995 + (-8)\/60)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1551 + 657 = 59*r + 79*r. Let h = -98 - -174. Calculate the greatest common divisor of r and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 3, n: 5}. What is prob of picking 2 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*d = -0*d + 40, 2*d - 15 - 16 = -3*y - 2 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 469349467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79708 and 1552.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*b - 15 = -169*b. Suppose f = -2*f - 2*q + 1271, 0 = f + b*q - 419. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12072*-443.\nAnswer: -5347896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 9, -6\/109, 0.03?\nAnswer: -6\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*g - 277 - 473. Solve 11*j - 14 = g*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 13) to base 16\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(2\/20*-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in 15, 2, -0.3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 22. Suppose 3*f + 1 = -w. Is 0 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -170414538848053.\nAnswer: -170414538848048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*h + 169*t - 170*t, -3*h - 5 = 5*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 3385336?\nAnswer: -3385331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 24 and 2\/45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8)\/j)\/(j\/(j**(-2\/7)*j))*(j**10)**16 assuming j is positive.\nAnswer: j**(8895\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357)\/(-833)*14\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koop when four letters picked without replacement from poko?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Suppose z = -3*g + 5*z + 93, -3*g = -2*z - 93. Suppose -4*n + g = -29. What is the highest common factor of n and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + c**2 - c**2 + (4 + 1 - 4)*(0 + 0 + c**2) - 2*c**2 - c + c - 84*c**2 - 776 + 776 as h*c**2 + f + p*c and give h.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyytldtftytf. Give prob of picking 1 l, 1 y, and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258044235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let u(s) = -1100702*s. Calculate u(w(h)).\nAnswer: -1100702*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = 3*n - 6, 2*v + n = 2. Let y be (-1)\/(-1) - (v - 2). Let f = y - 2. Solve 3*o + 6 = -3*x, -4*x = o - 6 - f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 105 = -3*y - a, a = -2*y + 111. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5800\/(-17400))\/(1\/285)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 222*z**2. Let p(f) = 4*f - 38 - 53 - 72 + 160. Calculate h(p(i)).\nAnswer: 3552*i**2 - 5328*i + 1998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 1 + 1 + (-51*a - 10 + 25*a + 32*a + (0*a - 2*a + 3*a)*(-19 - 51 + 8))*(2*a + 2*a**2 - 2*a).\nAnswer: -113*a**3 - 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1894241\nAnswer: -1894245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21200581.\nAnswer: 17, 179, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 15. Do 2 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = 28618*j - 28616*j - 5*i, -2*i = -36*j - 202 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4568 and -1.\nAnswer: 4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -26*m**2 + 462*m + 11. What is n(18)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-98 + 64)\/(1\/17). Suppose 2*s + s + 27 = 5*m, -2 = -m + 4*s. Calculate the least common multiple of m and p\/(-51) + (-3)\/9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqq when three letters picked without replacement from {q: 4, u: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n - 140. Let y be d(-14). Put 2, y, -1, -10 in decreasing order.\nAnswer: 2, y, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 776.62 - 772. Round t to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1314 + 2?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + k - 2. Suppose 0*s - 6 = -3*s. Suppose h - 1 = 3*b, -b - 16 + 4 = s*h. Give y(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2\/33, -4, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(-70388)\/(-40) + (-5)\/(-25).\nAnswer: 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6074 - 4204 = -46*n - 64*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 77\/2 (b) -2\/7 (c) -0.4 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430444?\nAnswer: 2, 7, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-7))*a**7)\/(a*a**11*((a\/a**8)\/a)\/a*a) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-130)\/39*21\/(-35). Suppose -5*k + 90 = 4*r - 0*r, r + 2*k - 21 = 0. Solve z*l + r = 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 9*x**2 - 17*x - 2. Let o be z(10). Let l = o + 120. What is i in -6*i**2 + l*i + 39 - 183 + 2*i**2 = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.019 - -1.819. What is the nearest to 2\/19 in -7, 3\/7, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c + 7. Let r(j) = -4*j + 3. Let q(h) = -3*b(h) + 7*r(h). Determine q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - f)*(-30 + 96 - 7 + 61).\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s - 26*s + 3*s - 35*s**2.\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 433769.6mm?\nAnswer: 433769600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1*(-4)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkwya. Give prob of picking 1 y and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9737 is divided by 1938?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhnf when four letters picked without replacement from fhfhhlnnffhhhnw.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37753, 37751, 37739, 37711, 37661?\n\"Answer: -q**3 + q**2 + 2*q + 37751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:29 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3026*d**4 + 29*d**3 + 97395.\nAnswer: 12104*d**3 + 87*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytty when four letters picked without replacement from ytytyyytytttyt.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:44 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.287 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**4 - 8*r**4 - 4*r**3 + 189*r - 196*r + 5*r**3 - 3*r**2 to the form s*r**3 + h*r**4 + a*r + y*r**2 + i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*s + 16, -3*s = 4*i + i + 5. Suppose 3*u - i*u - 5 = 0. Suppose -u*a + 82 = 2*y - 2*a, 3*y + 3*a = 120. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2111251 to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/6791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - n + 2 = -15, 3*h + n = 9. Suppose -3*i - h*y + 2 = 1, y - 10 = -4*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*n**3 + 25*n**3 - 119*n**5 - 18 + 17*n**3 - 2*n**2 wrt n?\nAnswer: -7140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t - 28*t - 23*t + 112*t - 29*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(150))**2 + (sqrt(245) + 1)**2 + 5.\nAnswer: 14*sqrt(5) + 1256\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g + 4*h = 1988, 0 = 3*g - 5*h - 1215. Is 50 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6154296.\nAnswer: 2, 3, 149, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -38, 0.8, 11\/7.\nAnswer: -38, 2\/7, 0.8, 11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002951 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m - 0. Let r be 428*(m + (-5 - -2)). Is 16 a factor of 4\/3 - r\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c**3 - 2*c - 2. Let v(f) = -9*f**3 - 3*f - 3. Let i(g) = 7*r(g) - 6*v(g). Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033 a factor of 800570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0105 - -10.9895. What is the third biggest value in k, -0.08, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-516.1.\nAnswer: 206.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122733 and 110097?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200809614 to the power of 1\/2, to the nearest integer?\nAnswer: 46913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*a + 42, -7 - 21 = -4*a - 4*m. Let s(q) = 3*q**2 - q**3 - 5*q**2 + a + 11*q - 6*q**2 + 20. Is s(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17*(-13)\/(-442))\/((-6)\/(-8)). Determine d, given that -2\/9*d**2 + 14\/9*d + r*d**4 - 4\/9 - 14\/9*d**3 = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/7 - 979*b**4 - 1681672*b**3 - 105555028*b**2\/7 - 281151520*b\/7 - 187361344\/7 = 0.\nAnswer: -3422, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 12*d + 6. Let q(c) = 4*c**2 - 22*c + 11. Let f(g) = 11*h(g) - 6*q(g). Let l(b) be the first derivative of -b**2\/2 - 1. What is l(f(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.91063 - 0.08937. Let s = 1859\/7 + -266. Let r be (-6)\/(-21) - (1 + -1). Which is the smallest value? (a) k (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p + 40. Let g be t(0). Suppose 5*f - g = f. What is the least common multiple of 11 and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 4330 = 27*b. What is b rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from qhjqjhhsjjhjhqghhs.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)\/(t*(t\/(t*t**(-2\/3)))\/t)*(t\/(t*t\/((t*t\/(t\/(t**6\/t)))\/t*t)*t)*t)\/(t\/(t\/((t**(-2\/21)*t)\/t)*t)) assuming t is positive.\nAnswer: t**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s**4*t + 39*s**3*t**3 + 3*t**3 - 5*t**2 - 19*t wrt s.\nAnswer: -20*s**3*t + 117*s**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 20. What is w(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(84*l - 64*l + 36*l) - 3*l + 5*l - 5*l.\nAnswer: 109*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -127673 divided by 52\nAnswer: -9821\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 2, u: 1, a: 1}. What is prob of sequence zh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102285 and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13916597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 15*f**2 + 3*f - 3*f - 6*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8\/(z\/(z\/(z\/(z**(-2\/7)*z))))*((z**(-2\/5)\/z*z)\/z)**14 assuming z is positive.\nAnswer: z**(-416\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 - 33*r - 84. Calculate q(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-17 + 8 - -10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58555 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133875 and 79135.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srdrccrcdcssrrscccs. Give prob of picking 2 s.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 313, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3806.152 microseconds to nanoseconds.\nAnswer: 3806152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*z = 30, -2*z = -2*i - 2*i + 58. What is the lowest common multiple of 20 and i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 1, d: 4, t: 4, v: 4, n: 4}. What is prob of sequence ntn?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -154134262 less than -331283?\nAnswer: 153802979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 1197?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeleeeemeeeemmee?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g - 3*g - 4*g - g**3 + 2*g**3 + 2*g**4 + 2*g**2 as w + d*g**3 + x*g + a*g**2 + r*g**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*p - 5*p**2 + 106*p + 106*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 7*m + 4. Let z be (-28)\/5 - 4\/10. Let f(d) be the third derivative of -d**5\/60 + d**4\/3 + 5*d**3\/6 + 407*d**2 + 1. Determine z*f(b) + 7*l(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9703763 is divided by 14614?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 6545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let t be (f + 8)*6\/10. Let g = 631\/254 + 2\/127. Is t less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 10. Let d be y(-7). Suppose -5*n + 2*u + 22 = 0, -u = -d*n + 18 - 5. Solve -5*s - 7*w + 2*w = -40, -2*w = n*s - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*t = -3, t + 4 = -v - 3*t. Let x(h) = -h**3 - h**2 + h + 161. Let y be x(v). Suppose y = 3*p - 16. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 523231?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3\/7 + 3915*t**2\/7 + 5109075*t\/7 - 4740. Find n such that r(n) = 0.\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 21 - 4*i + 25 + 2*i**2 + 3*i**2 + 0*i**2 - 6*i**2 + (0 + i + 0)*(3*i - 4*i - i) + i**2 - 4 + 4 as b*i**2 + h + m*i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 j when three letters picked without replacement from jpcsstr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56889 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96620 is divided by 1800.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105121308?\nAnswer: 2, 3, 163, 223, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -58 * 257296\nAnswer: -14923168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/12 + k**3\/3 + k**2. Suppose 4*u = 8 + 4. Suppose -c - u = -1. Determine g(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -14, -1, 3\/10, -1323?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 + 3*p**2 + 2*p - p**2 - 9*p**2 to y*p**2 + b*p + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1107.89 - 1114. Let y = 0.11 + r. Let i = y + 6. Which is the third smallest value? (a) i (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/205 and -4\/32365.\nAnswer: 1326965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f**(-2)\/f*f))\/(f**32*f) assuming f is positive.\nAnswer: f**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7258 by 237.\nAnswer: -7258\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -184657 - 15343. Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22332303 (base 4) to base 14\nAnswer: 1256b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h - 2*t + 5*t, 0 = 2*h + 3*t - 7. Put 7, 0, h in descending order.\nAnswer: 7, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113042 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3531 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 1, -26, -51, -68, -71?\n\"Answer: b**3 - 8*b**2 - 6*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8412822.8 rounded to the nearest one hundred thousand?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2273844 divided by -3\nAnswer: -757948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 6\/7, 0.2, -2\/17?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -28\/109, 0.2, -74 in decreasing order.\nAnswer: 0.2, -28\/109, -45, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -338109493 and 0.\nAnswer: -338109493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 3*a**2 + 2*a**2 + (-14 - 5*a + 14)*(-1 + a + 1) + 0*a + 0*a + 2*a**2 + (-6 + 1 + 0)*(-2*a + 2*a - a**2) as y*a**2 + m + j*a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2806748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 21*o**2 - 25 - 18 + 12*o**2 to n + y*o + s*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(sqrt(2) + 0).\nAnswer: -4*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 32 = 4*k, -19 = 56*r - 52*r - 5*k. Solve 3*f - 8 = 2*m, r*m + 28 - 36 = 2*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.327111 from -0.4.\nAnswer: -0.727111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 651.83*-6\nAnswer: -3910.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -793 + 795. What is the third derivative of 13*x**2 - 15*x**m - 32*x**3 + 5*x**3 + 75 - 21*x**3 wrt x?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {k: 7, i: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30258414.\nAnswer: 2, 3, 560341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (0 - 3)) + 0. Suppose -4 - 5 = -l*n. Let h be (-42)\/(-5)*(10 - (2 + n)). Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 = 7*p, -2*p - 644*q + 647*q = -29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -559838, -1\/5, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 4*w**2 + 9*w + 128. Let t be p(-6). Suppose 4*u = 0, t*m + 15*u - 18*u - 8 = 0. Which is the nearest to -0.007? (a) m (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -75*t - 257. Let i be m(33). What are the prime factors of (-15)\/(-40)*-2*i?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 1168809.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18 - -66)*(0 + 1). Suppose 18*b - c = 14*b. Suppose 1337 = 19*h - b*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1669260 is divided by 3109?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.22 take away -4.1?\nAnswer: 90.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -436 by -10.\nAnswer: 218\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1100))**2*-2 - (-1*(-1 + sqrt(1100)))**2)*4.\nAnswer: -145204 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -67 - (-86 + -8 + 107)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263556541.\nAnswer: 1901, 138641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r + 117. Let d(v) = 22*v - 176. Let m(n) = -7*d(n) - 10*p(n). Calculate m(5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -b2?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*z - 229 = 0, -3*h + 30*z = -29*z + 54*z - 220 for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -6, 4, 5, 3\/4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/105)\/((-8)\/(-6)*(-98)\/(-224)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 15*u + 23. What is the remainder when 145 is divided by l(-13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*v + 70 + 952 = 0, q - 513 = v. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/12 (b) 0.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-124)\/6)\/(6\/18). Is (u\/(-4))\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.19, 0.1, -29, -0.39?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216711, 216712, 216713, 216714, 216715?\nAnswer: 216716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s + 83*s = 20, -i - 5*s + 8295 = 0. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1136, -1586, -2036?\n\"Answer: -450*a - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*d**2*k**2*t**3 + 106*d**2*k**2*t - 3*d**2*k + 2*d**2*t**3 + 135*d*k*t - 2*d*t**3 + 4*k*t**3 wrt k.\nAnswer: 44*d**2*t**3 + 212*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1240, -1036, -418, 818, 2876, 5960, 10274?\n\"Answer: 34*v**3 + 3*v**2 - 43*v - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - -55. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 17*f**2 + 41*f + 163. List the prime factors of c(14).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7009, -7014, -7019, -7024, -7029?\nAnswer: -7034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3 - -2 - 4) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 - s**2 - s - 3. Let j = -11 + 9. Let t(y) = -4*y**3 + y**2 + 2*y + 4. Let l(c) = j*t(c) - 3*z(c). Determine l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 35*s - 110. Let q be w(-10). Suppose 0 = -9*l - 36*l + q. Suppose 5*c - 199 = -19. Calculate the smallest common multiple of l and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36525454 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588863?\nAnswer: 11, 17, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (27 + -13 + -3)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24034163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 6. Let v(z) = -13*z - 24. Let o(s) = -9*u(s) + 2*v(s). Let w be o(-5). Which is greater: -2\/29 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 7:01 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -734076.\nAnswer: -2936304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 53 = 4*i, -5*i = 2*y + y - 54. Let a be (2 - 0) + y\/((-52)\/(-80)). Solve -3*f + n - 10 = 0, a = -0*f - f + 5*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 94?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 5*n - 5. Let j(c) = -c - 1. Let h be (-4*3)\/3 + 1. Let g be 1*1\/h*-3. Calculate g*o(d) - 5*j(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13610, 27227, 40844, 54461?\n\"Answer: 13617*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -9, 5\/26, -0.01, -2\/45?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - p = -12, 0 = -i - 2*p + 10 - 0. Suppose -i*r + 3*f + 92 = 0, -211 = -5*r + 4*f - 6*f. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from ffmzffffffqffff?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -178, -401, -716, -1123?\nAnswer: -1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 231 + 3*y - 258*y**3 + y**2 + 228 to the form f + l*y + p*y**2 + b*y**3 and give b.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*j - 1362 = 4506 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 2 + 26*m + 29*m as o + k*m and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 217975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-25))\/((-17)\/(-85))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.457*-1.584\nAnswer: 0.723888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 11*h**2 + 26*h - 46. Let n be y(13). Calculate the highest common divisor of n and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose -x = -h - 3. Suppose x*y - 20 = 4*j, -j - 3*j = -4*y + 24. Let w(t) = t**2 - 4*t - 1. Give w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 94\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 11*z - 6. Let n be o(-10). Let h be (18\/n)\/(1380\/33). Let b = 2\/115 + h. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 109*n**2 + 0*n**3 - 7\/6*n**4 - 10*n - 1\/10*n**5 - 11. Differentiate g(w) wrt w.\nAnswer: -6*w**2 - 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n + 42 = 40*n. Solve j = -n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*b - 3671 + 538, 4*b - 3140 = -2*v. What is the units digit of 40\/(-180) - v\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -37\/4 (c) -29398 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23220123110 + 2232?\nAnswer: -23220120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -5, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.00944 times 23.9\nAnswer: 0.225616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.273 times 1?\nAnswer: -1.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -6, 137, 9 in increasing order.\nAnswer: -6, -5, 1, 9, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1dfd2 (base 16) to base 13\nAnswer: 43baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(0 + 0 + 1) + 3 - 1 - 3)*(9*a - 7*a + 6*a).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100445*y**6 + 3*y**4 - 109*y**3 - 251090186*y**2?\nAnswer: -12053400*y**3 + 72*y - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 754*j - 3007. Let z be s(4). Solve -82 = -z*h - 10 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*w)*(-100*w + 101*w - 525*w) as h*w**2 + l*w + v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - 112*s + 308. Let j = 1 - 4. Let k(b) be the first derivative of b**3\/3 - 37*b**2\/2 + 103*b - 115. Let r(z) = j*n(z) + 8*k(z). Factor r(m).\nAnswer: -4*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/33 and 23\/4443?\nAnswer: 48873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t + 1. Suppose -2*x + 6 = 2*x - 2*k, -2*x + 4*k = -18. Does 12 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 71*t - 914. Let p be i(-54). Let y be 609\/35 - 2\/5. Let c = -8 + y. Put p, c, 1 in increasing order.\nAnswer: 1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.138, 1\/7, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55.20891 tonnes?\nAnswer: 55208910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 5*z**2 + 5*z + 3. Suppose 0 = 4*q + 3*q + 28. What is l(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1097, 2223, 3337, 4433, 5505, 6547?\n\"Answer: -r**3 + 1133*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 6, j: 1, i: 5, l: 3, s: 2}. What is prob of sequence ia?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3173 from -9.77.\nAnswer: -3182.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7547*x + 7799. Give o(-1).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.394 - -5.334. Let u = -0.5 - -0.56. Let a = k + u. What is the second smallest value in a, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637*z - 1605035 = 477*z + 58965. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.04 - 0.04. Let g = -39.527 - -39.927. Which is the third smallest value? (a) g (b) s (c) -5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 561657, 1123317, 1684993, 2246691, 2808417?\n\"Answer: c**3 + 2*c**2 + 561647*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1441050242 - -3?\nAnswer: -1441050235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 x when three letters picked without replacement from {m: 2, b: 5, a: 6, x: 1, u: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 609 and 21.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 473 + -3240\/7. Which is bigger: y or 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-3)\/(84\/16)). Let v = r - 1. Which is the second smallest value? (a) -2\/9 (b) v (c) -1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -24 + u**2 + 24. Let g(i) = 2*i**3 + 4*i**2 - 1. Suppose 0 = 3*f - f - 10. Determine f*j(r) - g(r).\nAnswer: -2*r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-225)*(-21450)\/(-3432))\/(2\/(-124)*-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2 + -4*5\/30)\/2. Let j = -1.6 - -4.2. Let f = j + -3. Which is the third biggest value? (a) -3 (b) o (c) -5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*62\/(-31)*(-2)\/(-10)*10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/1)\/((-3135)\/12255)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24824578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1035.87 - 126.82. What is l rounded to the nearest 10?\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 46. Let u = r - -21. Which is the biggest value? (a) -6 (b) 1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((6 + -4 - 3) + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0*u**2 + 4 + 4*u**2 + 4*u - 3*u**2. Let z be x(-4). Calculate the remainder when 12 is divided by -1*z\/(12\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 81*g**2 + 6317. Let p(t) = -10*t. What is p(j(k))?\nAnswer: -810*k**2 - 63170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqgqqgqqqqg. What is prob of sequence qqgq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4617016, -9234029, -13851042?\n\"Answer: -4617013*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -6, -184, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4052358, -8104725, -12157100, -16209483, -20261874, -24314273?\nAnswer: -28366680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 10*j - 56. Let v be s(-4). Suppose -v*l = -59*l - 10. Sort l, 0, -27.\nAnswer: -27, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 13.1. Let v be (-1)\/3 - (-57)\/117. Suppose 4*g = 3*g + 5. What is the smallest value in v, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 6) to base 7.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(-7)\/(v**(-4)*v**8))**4 assuming v is positive.\nAnswer: v**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 3. Let h(r) = 6*r**2 + 31*r + 3. Let m be h(-5). Let z(u) = -2*u - 5. Let i(l) = m*z(l) - 5*b(l). Calculate i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(132)\/(1*sqrt(12)) - (sqrt(11) + 2)*-2).\nAnswer: -3*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = -q + 28*b + 12755, q - b = 12758. What are the prime factors of q?\nAnswer: 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19266.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677205310.\nAnswer: 2, 5, 67720531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 998886402 and 2124?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 23*a**2 - 25*a - 621. Let m be v(25). Solve -22 + m = -6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(w - w + w) + 5*w - 10*w - 6*w + (2 + 0 + 1)*(-2*w + 4 - 4) + (5 + 3 + 3)*(-w + 0*w - 2*w).\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -899*y - 8018. What is o(-9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2299) - 1*(1*sqrt(2299) + sqrt(2299)))*-3 - ((-1 + sqrt(2299) + 0 - sqrt(2299)*2*1) + -3))**2*-4.\nAnswer: -919664 - 3520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -18. Let r be 0*(-1 + 3 + -1). Suppose r = 4*s - 0*s + 2*h - 20, -4*s = 4*h - 20. Solve l + 4 = s*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*c - 104*c = -5*i + 28, 5*c = -i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5694 - -5740. Solve q = -9*b - 14*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -58, -90, -142, -220?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3 + 8526*m**2 + 17060*m = 0.\nAnswer: -2, 0, 4265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/16 - 1 - (-22)\/(-56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**3\/3 + z**2\/2 - 2*z - 152. Factor y(u).\nAnswer: (u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 5*f - 2. Suppose 2*q + 8 = 2*a, -2*a + 4*q = a - 15. Let b be (35\/(-25) + a)*15. Determine v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(-1*sqrt(2268) - ((sqrt(28) - -1*sqrt(28)*-2) + sqrt(28))))\/(sqrt(4) + (-2*sqrt(28))\/sqrt(7) + sqrt(324)\/sqrt(9)))**2.\nAnswer: -144*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4*o - 9535596*n**2*o**3 + 38*n*o**3 + 4*n*o**2 - 463*n*o - 3 wrt n.\nAnswer: 12*n**2*o - 19071192*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + (-152)\/(-20))\/(1\/1835). Let d = 1153 - t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 181. What is the hundreds digit of 1 + 85*15*(-5)\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14543471, -14543479, -14543491, -14543507, -14543527?\n\"Answer: -2*f**2 - 2*f - 14543467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 3026, 10356, 24674, 48308, 83586, 132836?\nAnswer: 198386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 7*l - 11. Let p be n(4). Suppose 0*s = 5*s - 15. Let c = s - -1. What is the highest common divisor of p and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4495760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2 + -325 - -1) + 5. Let v = -316 - t. Solve -4*m + 19 = -v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -12, -5*l + 2*l + 5*s = 42. Let d(f) = -2*f**2 - 8*f - 4. Let k(y) = 4*y**2 + 16*y + 7. Let r(p) = 5*d(p) + 3*k(p). Is r(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = 5*o - 3949, -3146 = -4*o + 5*w. Calculate the remainder when o\/(-9*2\/(-6)) is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31a4 - -53?\nAnswer: 3227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 1265?\nAnswer: 1265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1112213 - -30310?\nAnswer: 1143023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 95.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -303, -551, -823, -1125, -1463, -1843, -2271?\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159 - 171*x - 168*x + 336*x)*(4 - 4 - 6*x)*(0*x**2 + 3*x**2 - 2*x**2).\nAnswer: 18*x**4 + 954*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 328.8287 centuries?\nAnswer: 3288.287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 + 4 + -276 - 5. Sort 1, -3, -2, s in decreasing order.\nAnswer: 1, -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-550)\/(-220))\/(2\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 59 - 203)*(-2 + 1 + 3)*(17*o + 12*o - 34*o).\nAnswer: 2190*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1068, -1956, -2844, -3732?\n\"Answer: -888*g - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqyt when four letters picked without replacement from nqnqtyyl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5147*t**2*w - 21429068*t**2 - 178*t*w + 4*w wrt w.\nAnswer: 5147*t**2 - 178*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230607234 divided by 76869078.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/7, 3, -2\/3, -6\/2413?\nAnswer: -6\/2413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28412 - 0.01588. Let x = -291505\/57 - -5114. Let f = -4\/19 + x. Which is the nearest to -2? (a) f (b) i (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*u - 15775 - 41065 = 105*u for u.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071180864 to 7 dps.\nAnswer: -0.0007118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1 (base 16) to base 12.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 656 and 4?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 < 0.25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*l**3*t - 2*l**2*t**3 - l**2*t**2 + 19*l*t**3 - l + 37*t**2 wrt l?\nAnswer: -36*l*t - 4*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7657 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 451350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(1\/(-6))\/(-1 - (-3)\/6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4794 + 4789. Let d = 2.98 - 3. Which is the closest to d? (a) g (b) -0.1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**0\/l))**41*(l\/l**(1\/4)*l)**5*(l\/(l\/l**(-1\/6))*l*l**(-6))**(-12\/5) assuming l is positive.\nAnswer: l**(1243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enqk when four letters picked without replacement from ooxkqenq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 - q**4 + q**4 + (-q**3 + 3*q**3 - 4*q**3)*(5*q + 0*q - 3*q) + 0*q**4 + 9*q**4 - q**4.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56276, 56296, 56318, 56342, 56368, 56396, 56426?\nAnswer: 56458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 16) + 30 + -53 + 19.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 262 (b) 16 (c) -0.4 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 5. Let h be g(7). Suppose h*u = -2*u - 16, -2*p + 18 = -3*u. Find the second derivative of -n + n**3 + 10*n - p*n**4 - n**3 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*z + 23, -2*p = 3*z - 2. Suppose -l = -p + 4. Suppose 1024 - 464 = -112*k. Sort k, l, 0, 5 in decreasing order.\nAnswer: 5, l, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/88*(-5 - 1) - (6 - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.0111, -4\/7, 239?\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47974, 0.4, -4, -1\/7, -2\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 2*r - 1. Let i(b) = 3*b - 77. Let l be i(26). Determine y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 1156*p = -571*p - 579*p + 32 + 2, 0 = s - 4*p - 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 + 7*w)*(-85 - 58 + 42) - 8 + 8 - 2*w to the form q*w + n and give q.\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/9)\/(p**(3\/10)\/p*p))**(-11\/2))**(2\/3) assuming p is positive.\nAnswer: p**(407\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3*v**2\/2 + 4*v - 879. Let n(b) = -6*b + 8. Calculate -4*n(w) + 7*p(w).\nAnswer: 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 5*d = 1320. Let w be (-6)\/(-4)*d\/(-9). What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.73311 - -0.73273929. Round o to five dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 27*x**2 + 53*x - 19. Calculate the remainder when 296 is divided by w(-10).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 times -66\nAnswer: 27.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 + (-2000)\/(-110) - 2\/11. Let 53*p**2 + 5*p**4 - y*p**3 - 34*p**2 - p**5 - 16*p**2 = 0. What is p?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 3403 + 15*v**2 + 3403.\nAnswer: 15*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -42*d - 3. Let m be s(-2). Suppose z = 2*z - 1, 2*o - m = 3*z. Suppose 2*w + 4 = -0, q - o = -4*w. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s**(-30)\/s*s)))\/(s*(s**(-31)\/s)\/s) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 13*j + 1. What is the remainder when 245 is divided by l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16784*f - 53 + 53 - 16504*f.\nAnswer: 280*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 81836577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = -5*n + 6, -2*n - b = -3. Let d(k) = k**2 + 1. Let v(r) = 3*r**2 + r + 6. Give n*v(l) - 4*d(l).\nAnswer: -l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*s*y**3 - 5*s*y**2 - s*y - 69*s + 369*y**3 + 41*y**2 + 216*y + 1 wrt s.\nAnswer: 14*y**3 - 5*y**2 - y - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -88, -137, -188, -241, -296?\n\"Answer: -q**2 - 44*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose -q = o*q - 160. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b3c + -e3?\nAnswer: -c1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3 (b) 4\/5 (c) -63\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 1. Let c = 32 - 16. Let y = 1119 + -1109. Let f(j) = -17*j + y*j + c*j - 3. Calculate 4*f(d) - 11*i(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 - 3034*b - 6060 = 0.\nAnswer: -1515, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 4*r - 4*r - 3*r + 0*r + r + (-3*r + 0*r + r)*(-5 + 2 + 4) + (-4 - r + 4)*(-2 - 3 + 3) + 7 - 7 + 2*r - 2 + 5*r + 2.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-1 + (-1 - -1)). Let s be (-2)\/(-8) - 813\/u. Suppose 3*x = s - 23. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -m - 80. Suppose m*q - 58*q = -112. What is the smallest common multiple of 8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x. Let c = x + 12. Suppose 11*h - 10*h - 3 = 0. What is the greatest common factor of c and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 5733624?\nAnswer: 40135368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50668 is divided by 128?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12)*3) + (sqrt(12)\/sqrt(6) - sqrt(2)) + -2 - (-5 + (sqrt(288)*2)**2 + -5).\nAnswer: -1144 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24089831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 22 + 2 = 0. Let r(a) = -2*a - 6. Let y be r(-4). Find the first derivative of 0*i**2 - y*i**2 - 3 + w - 2*i**2 wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 234 - -1?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 539 = -358. Let s(a) = 14*a**3 - 217*a + 75*a + 73*a + 10 + 10*a**2 + c*a. Let y(l) = -l**3 - l**2 - 1. Calculate 2*s(h) + 20*y(h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125051?\nAnswer: 23, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*r + 4*r + 164, 0 = w - 4. Let k = r + 49. What is the greatest common divisor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481355.8 days to microseconds.\nAnswer: 41589141120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 0.2, -0.06, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 8:08 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 10*i + 27. Let w be y(-12). Suppose 15 = w*x - 3. Calculate the remainder when 29 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -473 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41511 and 916878.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-33)\/9*3060\/3060.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -5.5. Let k = -0.6 + -3.4. Which is the third biggest value? (a) k (b) q (c) -5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 93.3. Let i = 97 - o. Let a = 1 - 0. Are a and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*j + 11 = 0, 0*n - 4*n - 2*j + 10 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(((6 - 3 - 2)*(1 - 1 - 2*d) - 6*d + 4*d + d + d - d + d)*(1 + 0 + 2) - d - 3*d + 3*d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-297)\/180)\/11*8*(-1)\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-270)\/75)\/(9\/(-30)). Calculate the highest common divisor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*400\/(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30098083, 30098085, 30098087, 30098089, 30098091?\n\"Answer: 2*t + 30098081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + -4 + (58 - -32) + 9?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -1536320?\nAnswer: 1536301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*q - 266, q - 49 = b + 2*b. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53\/37 - 2882\/333. Let z = i - -7. What is the second smallest value in 2, z, -4, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3 - 3)*(-1 + 0 - 2)*(12 - 15 + 222).\nAnswer: -1314*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from eqhokhn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4519029 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -167 - -165. Let h(v) = v**2 + v + 2. Let b(n) = -11*n**3 + 2*n**2 + 3*n - 72. Let a(m) = l*h(m) + b(m). Differentiate a(g) wrt g.\nAnswer: -33*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)*i**2)**(-9) assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:30 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204 + 218. What is the hundreds digit of (-178 - -225)\/((-12)\/q + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 1280?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5367?\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*x - 4524 = 103*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*k + k**2 - 275*k + 333*k.\nAnswer: k**2 + 292*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 4256*w - 4610*w + w**2 in the form r*w**2 + f*w + q and give f.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 377 - 372. Calculate the highest common factor of 75 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4958 = -17*w + 2760. Which is greater: w or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31652 - 1?\nAnswer: 31651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 12, 3*f - 28*m + 24 = -25*m. Let v be f + 2 - 141\/(-15). What is g in 2\/5*g**2 + 1\/5*g - 1\/5*g**3 - v = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*b + x - 204, 0 = 2*x + 8. Let q = -2 + 4. What is the highest common factor of q and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2214 and 2786196?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d**2 - 2*d - 1. Let c be f(-1). Suppose 0 = -c*s - 5*s - 20, 0 = -5*j + s + 24. Solve -3*b - 11 = -0*b + w, -4*b - 36 = -j*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.417 + -170.583. Let q = -171.0000586 - y. Round q to six dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 24. Determine q(14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 11*v**2 - 27*v + 43. Let n be o(13). Let g be (-2)\/(-3) - 107\/3. Let u = n - g. Calculate the highest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/144*22\/165.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i - 4. Suppose 3*r - 5*t = -t + 16, -3*r + 8 = 4*t. Let a(x) = 271945563 - 271945554 + 9*x - 2*x + 8*x. What is r*a(m) + 9*v(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 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: Is 29459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.731 and -0.02713?\nAnswer: 0.04696203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 15 = 78*q. Solve -5*n = b + 20, 0 = -q*n - b - 8 - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 165*s + 8087. What is b(42)?\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28658 and 5222?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Solve p*d + 3*d = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, 5, -13, -10, -5 in ascending order.\nAnswer: -13, -10, -5, -4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8494\/71 - -6363949\/53108. Let m = 1\/68 - q. Let v = -2 + 3. Which is greater: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - y - 2*y - 3 + 3 + (3 - 2 - 3)*(-1 + 2*y + 1) + y - 4*y - 2*y + 0*y - y + 0*y + (-2 - 2*y + 2)*(6 - 4 - 1) - 2*y + 4*y - 3*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w - 171. Let u(v) = -14*v - 258. Determine 7*o(k) - 5*u(k).\nAnswer: 7*k + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-9))\/(15\/(-1089)). Let v = -193 + q. Which is the closest to -1\/2? (a) v (b) -0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(-2*sqrt(72)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = -16. Suppose o = 2*l - 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 980.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -3*g + 1\/3*g**3 + 0*g**2 + 0. Let q(j) = 7*j**2. Determine q(z(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*371.2.\nAnswer: 2598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108126170 is divided by 1341?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -258860 divided by -4\nAnswer: 64715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = 452*a + 2704 + 8504 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.4. Which is the second biggest value? (a) 2 (b) d (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -0.11. Let f be (-19)\/20 - 3\/(-4). Let g = 1.2 + -1.2. Which is the closest to d? (a) -0.03 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -2, 0.06358, -2\/11, -2\/5, -12?\nAnswer: 0.06358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*i - 14, -3*d + i + 0*i = -8. Let h(z) = 5*z - 127. Let q be h(25). Is 134 - q - (d + 2) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 165*n - 175. Let z(s) = -254*s + 250. Let v(w) = -85*w + 83. Let j(a) = 8*v(a) - 3*z(a). Let i(p) = -6*c(p) + 10*j(p). Differentiate i(f) wrt f.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 6, w: 1, v: 1, k: 3}. What is prob of picking 2 v, 1 k, and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-9)\/99 + (-174)\/231?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 5 - 5)*(-d - d + d) - 36*d**2 + 2*d**3 + d**3 + 28*d**2.\nAnswer: 6*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 33 + 37. Let t = -18 + d. Let f = 117 - t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let o(p) be the first derivative of -25*p**2\/2 - 30. Give o(v(f)).\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -272094731\/20880 + -414761\/1044. Let b = n - -13428. Calculate the common denominator of 23\/56 and b.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351659 and 2849.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooiw when four letters picked without replacement from owoiwwiwoiwwow.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 2353200*o + 82355875.\nAnswer: 5*(o - 470605)*(o - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**6\/30 + c**5\/5 - c**4\/12 - 2*c**3\/3 + 60*c. Solve u(q) = 0 for q.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100782, -203180, -305578, -407976, -510374?\n\"Answer: -102398*w + 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 - 86. Suppose 6*x - 60 = 24. Let z = x + n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -272\/7?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = -4*h, 3*h - 3*f = -1 + 7. Find the second derivative of 24*j + h*j**3 - 16*j + 2*j**3 wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13517*h**2 - 375*h + 13518*h**2 - 5*h**4 - 27024*h**2 + (3 - 5 + 0)*(h**4 + 0*h**4 + h**4).\nAnswer: -9*h**4 + 11*h**2 - 375*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 814*a + 1. Let g(n) = n**2. Give g(k(w)).\nAnswer: 662596*w**2 + 1628*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d**3*u**2 + 50*d**3*u + 18*d*u**2 - 15*d*u wrt d.\nAnswer: -54*d*u**2 + 300*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let g = -7 + 13. What is the smallest common multiple of g and s(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 4 = -r, -2*b - 4 = -4*r. Suppose 6*c - 3*c = 0. Let v = c + 3. Put v, 5, b in decreasing order.\nAnswer: 5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4 - 61200*f**3 - 307969464*f**2 - 507719618384*f + 508027649052 = 0.\nAnswer: -5687, -3927, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2013 and 37\/213774?\nAnswer: 13040214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2104 (base 9) to base 5\nAnswer: 22133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(364)\/sqrt(7))\/sqrt(4))**2 - (3*sqrt(91))\/sqrt(7)).\nAnswer: -6*sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from bybyybbbyybyyybybb.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2456\/9, -1, 0.161 in increasing order.\nAnswer: -2456\/9, -1, -0.5, 0.161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29882769 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2323932 - 0.1?\nAnswer: -2.3323932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21 + 0.19. Let m = 2\/241 + -249\/964. What is the biggest value in 1, s, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-2 - (10 + 9 + 14))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 29 - 84 - -41.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 757 and 4?\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/27770 and -35\/16?\nAnswer: 222160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 4*v + 2. Let i be h(-4). Find the third derivative of i*y**6 - 4*y**2 + y**6 + 2*y**6 - y**6 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.7. Let o = 6.06 + 1.94. Suppose 0*k - j + 2 = -k, -4*j = -2*k - 10. Which is the third smallest value? (a) o (b) k (c) g (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/72 and 131\/1584?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.67442ng?\nAnswer: 0.00267442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 1. Let w(p) = 14*p - 2. Let f(c) = 8*s(c) - 5*w(c). What is the tens digit of f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/6 + 5*v. Let y(s) = 2*s. Calculate y(q(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 814, -5, 5, -3, 3 in descending order.\nAnswer: 814, 5, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -98828?\nAnswer: 98828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 3099481.\nAnswer: -4\/3099481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:08 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1762*v - 1003*v = -179725 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 804.173 and -10.13?\nAnswer: -8146.27249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 4393345 and 4393346 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.9 (b) -51 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -695*c - 559. Let a(k) = 1389*k + 1100. Let p(t) = -6*a(t) - 10*o(t). What is the derivative of p(s) wrt s?\nAnswer: -1384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 4. Let b be q(-3). Suppose b*n - 205 = 80. Suppose -38*g + 3*i = -43*g + 139, -5*g - i = -143. What is the remainder when n is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944338?\nAnswer: 2, 11, 88379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/90 - j**5\/2 + 13*j**4\/3 - 4*j**3\/3 - 10*j - 269. Let q(v) be the third derivative of f(v). Factor q(b).\nAnswer: 4*(b - 13)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/52 + (-64)\/(-78).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -9. Let w = -1.7949 - -1.7949. Put -2\/79, w, q, 0.2 in descending order.\nAnswer: 0.2, w, -2\/79, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 21. Let z be 0 + 254 - (b + -1). What is the highest common factor of z and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5*p**2 - 3*p - 7. Calculate the remainder when 18 is divided by r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 5134 = 274*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.4 - 2.65. Let n = q - -0.25. Let h be (-4)\/(-3)*(-9)\/2. Which is the third biggest value? (a) 2 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*f - 8797, -2*f - 2*f = 4*p - 7052. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22112211221200 (base 3) to base 10.\nAnswer: -4543821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149728 a multiple of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 4043*g - 4041*g - 2*g**2 - 1. Let x be (2\/(-3))\/((-1)\/3). Give d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9994025.\nAnswer: 5, 399761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 21. Let j(k) = k**2 + 9*k. Give j(t(y)).\nAnswer: 16*y**2 - 204*y + 630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134984*s**2 - 2 + 2.\nAnswer: 134984*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -123966, -247942, -371918, -495894, -619870, -743846?\n\"Answer: -123976*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/18*264\/154. Determine w so that 8*w**3 + 36*w + 12 - 4*w**4 - o*w**5 + 104\/3*w**2 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*y. Let i be (2 - (-4)\/(-2))\/y. Let d be (1 + i)\/(1\/5). Solve d*q + 35 = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/95 and -143\/25270?\nAnswer: 25270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283437 and 168099.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*t - 445*t - 9 = 0. Let y(c) = -92 + 9*c**t - 3*c**3 + 46 + 2*c**2 + 53. Let z(j) = 5*j**3 + j**2 + 6. Calculate -4*y(o) + 5*z(o).\nAnswer: o**3 - 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 461 = 4*r, -2*z - r = -5*r - 162. Calculate the remainder when z - (6 - (6 + 4)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -124*a + 2106. What is w(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22163.9 times -3\nAnswer: 66491.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.59 + 7.2. Let z = y - -49.3. What is z rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58852.\nAnswer: 2, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 19. Suppose -5*c = -y*c - 2470. Suppose -14*q = -16*q + c. Is q 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 ((-12)\/78)\/((-4)\/13)*7970?\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31205*v**2 - 2258610*v - 40869405.\nAnswer: -5*(79*v + 2859)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43274 + -1?\nAnswer: -43275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 5, 4\/5, 0.2, -3, 59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10186689607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 16. Let c(h) be the first derivative of 0*h**p + 1\/11*h**2 + 1 - 1\/22*h**4 + 0*h. Solve c(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149, -584, -1297, -2276, -3509, -4984, -6689, -8612?\n\"Answer: 2*g**3 - 151*g**2 + 4*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 11:35 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.2474 to 2 decimal places.\nAnswer: -17.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467887 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 283, 2, 35618 in descending order.\nAnswer: 35618, 283, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 - 12344*p**2 + 1760384*p + 3570176 = 0.\nAnswer: -2, 152, 2936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdzd when four letters picked without replacement from {h: 1, z: 1, v: 2, s: 1, g: 1, d: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 49\/35 + (0 - (1 + 0)). Let z = 46 + -41. Put 0.2, z, x, -7 in decreasing order.\nAnswer: z, x, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47*f**2*u + 51*f**2 wrt u.\nAnswer: -47*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**2\/2 - 3*n - 2. Let w be p(-6). Suppose w*j - 8 = j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472549106?\nAnswer: 2, 1597, 147949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -29*z - 24. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -35) + 42 + -43?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -1\/5 (c) -3\/4 (d) 2.17 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w - 25 = 0. Let g(h) = -10*h + 4 + w*h + 12*h + 2. Is g(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/(-36) + 6\/8. Let p be -10*(x - 1\/2). Suppose 2*j = -p*s - 19, s + 14 = 2*j + j. Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278396027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2418 - 2782 = -2*m. Let x be (0 - 0)\/(2 - 1). Suppose 0 = 2*r - 0*r + 5*i + m, x = -5*i. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 11*x = 0. Find the third derivative of -2*z**3 + 54 - 54 - 71*z**2 + x*z**5 - 76*z**5 wrt z.\nAnswer: -4560*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/832436 and -49\/37838?\nAnswer: 832436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = -13 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-8))\/(1010\/(-2424))*(-252)\/(-3969)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1024 + 1188. What is the greatest common divisor of 41 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjtjtt. Give prob of sequence jjtt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -26. Solve 3 = -3*o + q, v*o = -3*o - 3*q + 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 p, and 1 n when four letters picked without replacement from nnynznnznnznppnn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaaajaaha. Give prob of picking 1 j and 3 a.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovojvooxoooj. What is prob of sequence oj?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by (85\/(-10))\/(22\/(-176))?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 4 = -11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*z + 74, -4*o + 4*z = -o - 82. Calculate the remainder when o is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75838 + 201868. What is y rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1758.2 + 1758.1973606. Round y to 5 dps.\nAnswer: -0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 19686976 = -k, -4*k = 4*f - 78747976. What is k rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2040)\/(-8160))\/((-495)\/20)\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f + 4. Which is bigger: 20\/17 or f?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 70.65?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -2\/9, -2, -4, -2\/13, 0.1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(63\/(-35)) + (-468)\/(-780)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(2*((-104)\/16 - -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 6349492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3058 is divided by 204?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 + 3 = 3*o, -28 = 4*o - 4*r. Which is bigger: o or -76\/37?\nAnswer: -76\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 59*m - 32. Let u(h) = -97*h + 60. Let c(r) = -3*u(r) - 5*x(r). Calculate c(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.4 and 0.0732062.\nAnswer: -0.54172588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*g + 618*g - 1213*g + 10*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/13)*c**10)\/(c**2)**(6\/17) assuming c is positive.\nAnswer: c**(2462\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s - 17*s - 3 + 0 - 69*s.\nAnswer: -128*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w + 6. Let b be p(-12). Let j be (51\/(-9))\/(2\/24). Let v = j - b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 5*w**2 - 6*w - 44. Let u(z) = -z**3 - 5*z**2 - 5*z - 43. Let a(r) = -3*l(r) + 4*u(r). Let o be a(-6). Sort 4, 0, -4, o.\nAnswer: -4, 0, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -83. Suppose 9*f - 14*f = -s. Suppose -20 = -f*h + h. Solve 4*g - h*i + 13 + 15 = 0, 5*i - 20 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/13 (b) 5\/2 (c) -66 (d) -9\/43 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 4*f - 5*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 3*d**4\/8 - 5*d**3\/6 + 10*d**2. Is b(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 852, 8911, 31298, 75177, 147712, 256067?\n\"Answer: 1194*f**3 - 299*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -33, -19, 13, 69?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*c - 15 = 0, -2*i + 19 = -2*c - 3*c. Suppose 0 = -8*d + i*d - 36. Solve -4*x = 4*s - 24, 3*s - d = -2*x + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3503100 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Solve 8*j = 3622*i - 3618*i + 108, 3*j - 3*i = 78 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1\/77, -1, -9\/4, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 9*y + 3. Let w be v(5). List the prime factors of (-1192)\/(-20)*(-2 + (-9)\/w).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = w - 2*y, 5*w - y = 8. Let g(f) = -f + 14*f**3 + 4*f - f - w. Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41025 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -653.890673 - 0.00959\nAnswer: -653.900263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314585 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 12) to base 14.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-10 - (11 + -23))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + -1001000001?\nAnswer: -1001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**5\/120 - 5*z**4\/12 - z**3 - 3. Let u(t) be the third derivative of i(t). Give u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 1\/120*i**6 - 1\/12*i**4 + 2*i**2 + 0*i**3 + 0*i - 1\/60*i**5 + 0. Let u be x(2). Solve 0 = 2*k - u*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*8*-1. Suppose -l = 2*b + 5, l + 5 = -4*b - 0*l. What is the tens digit of o + 2 + b + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -41. Let q be 1 + (-90)\/(-35) + g. Factor 4\/7*h + q*h**2 + 0.\nAnswer: 2*h*(9*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in 3, -1\/5, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, 126445, -1, -3\/5, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1) + -13 + -1 + 42. Solve -n*c + 39*c = 42 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8894*u - 77712 + 77712 - 8902*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9434 in 3, -3, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 4*j + 2. Suppose 29*w = 37*w + 64. What is m(w)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37643034 (base 8) to base 4\nAnswer: -133310120130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46008 divided by 15336.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4))**(-8\/7) assuming i is positive.\nAnswer: i**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.535955 and 4.\nAnswer: 4.535955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100.6 + 4.4. Let w = 105.13 - u. Which is the smallest value? (a) 2 (b) 5\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(24 - 2892\/120).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370994.3 millilitres in litres?\nAnswer: 370.9943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466, 701, 936, 1171, 1406, 1641?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -987*s. Let h(a) = -4*a. Determine h(y(d)).\nAnswer: 3948*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59860.6 litres in millilitres?\nAnswer: 59860600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1288279, -1288280, -1288281, -1288282?\nAnswer: -1288283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187\/(130339\/(-492))*(-357)\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21332387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 28. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:12 PM?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -4, -1, -3\/11, -6\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 < 490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/983 and -24\/4915?\nAnswer: 4915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 5*p, -4*i + 2*p + 4 = -2*p. Suppose i*m + 60 = 5*m. What is the remainder when m is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/((-3)\/6). Suppose -2*b + 5*d + 320 = 3*b, -q*b - 4*d = -171. Let x = -29 + b. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 + -40?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4112484 is divided by 90.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2678 + 0.1678. What is the nearest to -1\/3 in 4, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -12110528.\nAnswer: -25432108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19833 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by ((-14)\/(-8) + -1)\/(2\/72)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 2*z - 3*v, 0 = -3*z + z - 3*v + 299. Suppose 5*t + 80 = -z. Let y be 12\/20 - (-37)\/t. What is the closest to -2 in 2, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1507*o - 3123. What is the ten thousands digit of g(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 5*u - 19, 4*u = q + 15. Suppose -5*a = -r + 4, 3*a + 3*r - 28 = -52. What is the nearest to 0 in q, -5, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*1\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 = -3*k. Suppose u - k*b = 33, 0 = -2*u - 2*b + 49 + 57. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1111 by 4408.\nAnswer: -1111\/4408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-2 - 5) - 2. Let d = r + -1. Solve 10 = -5*n, 3*v + d*n + 6 + 0 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -176? (a) 156 (b) 5 (c) -0.886\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 241298 and 34?\nAnswer: 241298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239669*l**2 + 479367*l**2 - 239677*l**2.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*t + 19 - 19 + 6*t to q + w*t and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3907 + 3961 = -3*w - 3*q, -3*q = w + 10 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(63) + 3*sqrt(1008) + 5) - ((sqrt(189) + sqrt(189)*1)*3)\/(sqrt(9)\/sqrt(3)*2).\nAnswer: 30 + 225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, h: 2, q: 5, j: 1, v: 1}. Give prob of picking 1 h and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**12)*u*u*u*u*u)\/u**(2\/49)*((u*u**(-4)*u*u)\/u)\/(u*u**(-16)))**(3\/4) assuming u is positive.\nAnswer: u**(4551\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*1.3174597\nAnswer: 1.3174597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251955.2 milligrams in tonnes?\nAnswer: 0.0002519552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 2909 - 2989 = 0. Suppose 0 = -b - 8 + 37. What is the remainder when b is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 815418 and 8010.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 j when four letters picked without replacement from cjjjjcjjcjjj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9216 and 46592.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 168493 and 55.\nAnswer: 9267115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = 3*c - 2*c, 4 = -2*u. Let l = c + -9. What is the third biggest value in -5, l, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 5, 56, 125, 212, 317, 440?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 17*c - 27. Let d(x) = x**2 + 14*x + 24. Suppose 3*b + 55 = 16. Let h be d(b). List the prime factors of r(h).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -979*c*d**4 - 49189*c*d**3 + 7*c + 13363047 with respect to d.\nAnswer: -3916*c*d**3 - 147567*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Let p(b) = 4*b**3 - b**2 + 5*b - 3. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 215, 884, 2439, 5324, 9983, 16860?\n\"Answer: 74*j**3 - j**2 + 154*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9 + 1141.\nAnswer: 1137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6*z - 40. Suppose -2*u = 3*u - z. What is the least common multiple of 2 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(32)\/sqrt(4))\/(5*1*sqrt(4)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 716.5728 millennia?\nAnswer: 716572.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u - 4 = -40*u + 4*v, -4*u = -2*v - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a factor of 324244576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*l + 2*h**4*v + 2*h**4 + h**3 - h**2 + h*l*v - 2*v wrt h?\nAnswer: 24*h*l + 48*h*v + 48*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 5. Let w(c) = 2*c - 7. What is d(w(l))?\nAnswer: 6*l - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16754 = -1464. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u - 31. Let f be x(-6). Suppose 0 = f*i - 6133 - 4762. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 13*f - 12*f - 48, f + 2 = 0. Suppose -6*u = -u. Suppose u = 4*i + i - m. Solve 7 = q + 3*c - 5*c, -5*c = i*q + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 2*p + 4. Let q = 18 - 18. Let g be h(q). Put -3, g, -1 in decreasing order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100011000111 (base 2) to base 6\nAnswer: 45211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 101685780?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 23440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30))\/((-6)\/252)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.797647cm in micrometers?\nAnswer: 7976.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 10, b: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 102.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:08 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 2239*m - 2. Let s(d) = -35*d**2. What is n(s(a))?\nAnswer: -2450*a**4 + 78365*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/42639128 and -15\/5329891.\nAnswer: 42639128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 7229662 and 7229660 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.2, -1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 314*v**2 + 1251*v - 14. Determine m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-16))\/((-1)\/8). Let y be 2 - (0 - w) - 1. Let i = y - -37. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -343023104?\nAnswer: 343023042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16106 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3408, 6110, -0.2 in descending order.\nAnswer: 6110, 3408, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen ninths of a week in minutes?\nAnswer: 19040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14910 and 16?\nAnswer: 119280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(888\/(-32))*2\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -67914.69716 and 0.1038?\nAnswer: 67914.80096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -7*c + 3*c + k, 62 = 4*c - 2*k. Let z = -5 + c. Solve -5*a - 25 = -4*n, -z = -2*a - 3*a - 3*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + 5*y. Calculate b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**5 + 7*u**2 + 7*u**2 - 3*u**2 wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1099154800 and 3347.\nAnswer: 3347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 66*n**2 + 67*n + 52. What is the remainder when 3259 is divided by s(65)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, 0.4, -6003, 0.09?\nAnswer: -6003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/24)\/(2\/9). Let q = 18 - u. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -28 + q - 31 + 87 - 28. Let y(n) be the first derivative of -103*n**2\/2 + 3. Calculate y(g(h)).\nAnswer: -103*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1041420 (base 6) to base 5.\nAnswer: 3132322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14806.5 + -14807. Which is the second biggest value? (a) k (b) 0.1 (c) 0.4 (d) -5 (e) -0.124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249 + 482 + 356 - 798)*(t**3 + 4 - 4)*(2*t + t - t).\nAnswer: 578*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9303 and 189.\nAnswer: 83727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from {y: 1, u: 4, j: 1, n: 2, l: 2, e: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001332 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -254*x - 878. Calculate v(-5).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 33, 29, 27, 27?\n\"Answer: v**2 - 9*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5, i: 1, f: 7}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 69*a**3 - 2*a**4 - 1 - 6*a - 68*a**3 + 2 + 2*a**2 to the form d*a**3 + r*a + g + w*a**2 + z*a**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 4*i + 117, 0 = 3*q + 4*i - 75. Solve -5*s + q = 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 129 + 0*u**2 + 16*u**2 + 80.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-146.3276.\nAnswer: 2048.5864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 4*t - 267, -1738 = -w + 62*t + 2374 + 169 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(42\/10 - 2\/10). Let n(a) = 2*a**2 + 16*a + 20. Let p be n(-6). Is p equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4749 is divided by 625?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12875791323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, q: 4, n: 6}. What is prob of picking 1 n and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -210 + 215. Solve -3*o - 7 = -f, 0 = -4*f + 3*o + w + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a + 29*a - 142*a**2 - 53*a + 54*a**2.\nAnswer: -88*a**2 - 78*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*r + 137 - 45 - 49 - 44 to the form m*r + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 64 = -4*c, -4*v - v = 2*c - 95. Suppose 24*j = v*j. What are the prime factors of 1\/((-4)\/(-172) - j)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 1787499536*f - 199697161950013456 = 0 for f.\nAnswer: -223437442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:08 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4863 * -0.2\nAnswer: -972.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 6 = -3*d, 2*d + 28 = 3*d - 5*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - 81 - (-13 + (12 - 23))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4024 + 10216 = 0. Let h be 1 + (z*1)\/2. Suppose 8*b - 4*b - 5*q = h, 4*b = -3*q + 3553. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 47*m - 403. Give v(-54).\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 14*j - 10 + 5)*(-2*j - 3*j + 7*j) in the form f*j + v*j**2 + p and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/66*12\/(-2926).\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j - 4. Let m be s(1). Solve -3 + 8 = 2*r - m*k, 4*r - 5 = k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -22101\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/80 and -15\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3325276 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 2*x - 13. What is the least common multiple of 16 and f(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/7*(-2 - 1). Suppose -15*i + j + 0 = 0. What is the greatest common factor of i and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157438314 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4293 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(117))**2 + -3)*-3 + ((5 + 1 + sqrt(117) + sqrt(117))**2 - (-4*sqrt(117)*1)**2).\nAnswer: -1722 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001011111011 (base 2) to base 11.\nAnswer: -6801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/24 + 13*x**5\/6 - 148*x**2. Solve c(u) = 0 for u.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 - 5)*(3 - 3 + 2*z)*(1 - 2 + 3)*(-4 + 6 - 1).\nAnswer: -68*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 449881.1 rounded to the nearest 1000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {y: 1, q: 3, t: 5, g: 8, m: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 36.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021451452 to the power of 1\/2, to the nearest integer?\nAnswer: 63415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 26*a. Let h(s) be the first derivative of -s**3\/3 - 29. Determine h(y(p)).\nAnswer: -676*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v. Let f(b) = -17994587*b. Calculate f(h(r)).\nAnswer: 53983761*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30 + (-9)\/(-3) + -3. Let q = 57 - t. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 6. Let l(v) = v**3 + 1. What is 2*l(c) - x(c)?\nAnswer: 2*c**3 - c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -51. Let o be (3 - x\/(-9))*18\/12. What is the closest to 0.1 in o, 2\/19, -14\/9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1*-6 - (7 - 11)). Suppose l = -9*u + 15*u - 234. Let i be 744\/20 + 2\/(-10). Is i >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 287\/292, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 3*f**2 + 0*f**2 - 3*f**2. Let z(g) = -11*g - 3. Let a(w) = -54*w - 14. Let u(k) = 3*a(k) - 14*z(k). Calculate p(u(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -113. Suppose -371 + 362 = 3*p, -p + 219 = -3*c. Is u at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/14 + (0 - (-21)\/2). Is 9 a factor of -3 + (-2)\/(-2)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1304012 or -1304013?\nAnswer: -1304012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1\/4, 3, 1.2, -2\/5 in decreasing order.\nAnswer: 10, 3, 1.2, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2385442 (base 9) in base 8?\nAnswer: -4744214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -18*r + 183. Let l be x(10). Solve -3*h + 12 = l*f, 5*h = -4*f + 78 - 58 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/(j**18*j)*j)*j*j\/j**(1\/4) assuming j is positive.\nAnswer: j**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7100 and 136600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9790\/35 - (-4)\/14. Suppose 4*l + 3*d = 288, -d + 2*d - r = -4*l. Calculate the greatest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1536 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 857, 1730, 2665, 3692, 4841, 6142?\nAnswer: 7625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66436 = -231*s + 214*s. Suppose -6*q - 530 = -s. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -116*u + 247. Let g(c) = -349*c + 662. Calculate 3*g(j) - 8*m(j).\nAnswer: -119*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + 59 + -180 - (-2 + -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*-6*(-3*sqrt(405)*3 + sqrt(405)) + -2.\nAnswer: -432*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 79 + -53 + 16\/(-2). Suppose 0*d + 3*d + 5*y - 2865 = 0, -4*y + 955 = d. Suppose -13*k = -f*k + d. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 4*v)*(7*v + 7*v - 16*v)*(3*v**3 + v**3 - 3*v**3).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*t + 8 = 0, 2*t = 5*m + 3 - 13. Determine s, given that -2\/3*s + 0 - 4\/3*s**m - 2\/3*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4987 + 7.4987. Let w = 4 + -1. Which is the third smallest value? (a) j (b) -2\/5 (c) w (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - -8*(-8)\/4) + (7 - 18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 - 288*i + 6912 = 0. Calculate i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 99546080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.605 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 8*o + 2. Let c = -19 + 13. Let z be n(c). Calculate the greatest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmcjcmcjmmm. Give prob of sequence jj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(-2 + 0 + 3) + 1 + 2 - 1 + (1 - 5 + 3)*(-1 + 2 + 1) - 5 + 5 + 3)*(r + 0*r - 7*r)*(-3*r**2 - r**2 + 3*r**2).\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {t: 2, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + 82 + 5 + -29.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 88 + 265)*(-3*g + 2*g + 0*g) as v*g + d and give v.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 192314 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -35539 divided by -5077\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 6*m + 5. Let y be o(-5). Suppose -c - 72 = -y*c - 4*n, 5*n = -c - 72. Let j = c + 117. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 46. Suppose -t*z + 23 = 2*w, 18 = 4*z - 4*w - 26. Suppose 2*c - 166 = -40. What is the greatest common factor of z and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/9 - 4*d**4\/9 - 16*d**3\/9 + 4*d**2 - 2*d = 0?\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 40?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -786 + 781. Suppose 2*q = 0, -3*w - 3 = -4*q - 12. Put 4, i, w in decreasing order.\nAnswer: 4, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846792?\nAnswer: 2, 3, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 9*k**2 + 12*k + 25. What is y(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280)\/sqrt(7))\/sqrt(2))\/(sqrt(1000) - sqrt(40)) + -1)**2 + -2.\nAnswer: -31\/32 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s**2 - 13*s. Suppose -21*h + 24 = -27*h. Let z(f) = -5*f**2 - 6*f. Give h*p(r) + 9*z(r).\nAnswer: -5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97411 at least as big as 97420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*s = 18113, -70*o - 7*s + 18157 = -67*o. Which is smaller: o or 6044?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3695 - 7890 = -7*l. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8021*k*t**3 - 14911*k*t - t**4 wrt t?\nAnswer: 48126*k*t - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u. Let b be q(2). Let h be -5 + (-3)\/(-7) - 4\/(-7). Sort 1, h, b in ascending order.\nAnswer: h, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4876822 divided by -1117\nAnswer: -4366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1130 or 1132?\nAnswer: 1130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84148 + -84119. Find c such that 58\/5*c**2 - 1\/5*c**5 + 18\/5*c**3 + 15 - c**4 - z*c = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 2*a. Let n = 31 + -30. Let h be j(n). Let v(c) = c**2 + 4*c - 4. Calculate v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4731411447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4557691*d**2 + 2795976 wrt d.\nAnswer: -9115382*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2 + 18*x + 7. Calculate z(-5).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20049532 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 1075516.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k - 5. Let u(p) = p**2 - 2*p + 3. Let z = -101 + 116. Suppose -24*s + 29*s - z = 0. What is s*v(a) + 5*u(a)?\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 17*u - 12*u + 41*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6911234?\nAnswer: 2, 11, 317, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -6\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*i + 0 = -7, -3*w + i = 0. Let f be (-10)\/(-6) + w - 0. Is f bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v - 3*k - 477 = 0, 2405 = -5*v - 5*k. Let d = v - -283. Is ((-12)\/10)\/(5\/d) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:29 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33\/(-77))\/(2*(-2)\/(-14)). Let a = 19 + -35. Let h = a - -14. What is the biggest value in b, -3, h, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.46 - 0.46. Let c = -24.9999968 + b. What is c rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002718961777 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 22*i**2 + 34*i + 51. Let d be l(-20). Let v = d + 688. What are the prime factors of v?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 47*b - b**3 + 9*b**4 + 49*b - 11*b**4 - 20*b**2 to the form r*b + l*b**2 + i*b**3 + z*b**4 + x and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l + 1. Let t(s) = 1 - 13*s + 6*s + 4*s - 3*s. Give 3*t(g) - 4*v(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*j - 16. Let r = -13 + -38. What is the tens digit of (0\/j)\/2 - r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 941*c - 1182. Does 16 divide l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6771 + 88031\/13. Solve -4\/13 - 14\/13*t**5 - h*t**3 + 22\/13*t + 32\/13*t**4 - 28\/13*t**2 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/7 - 100*w**4\/7 + 248*w**3 - 1744*w**2 + 31040*w\/7 - 25600\/7 = 0.\nAnswer: 2, 10, 16, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 25*x - 46. What is n(26)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k + 2*h = -20*k + 6, -5*h - 11 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) -1 (c) 2\/1135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 240*h**3 - 13*h**2 - 3*h - 14. Let m be z(-9). What is m rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 199, 188, 173, 154?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*y + 164*y - 6 = 0, -2*t + 4*y + 7336 = 0. What is the highest common divisor of t and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -8*u + 11*u - 1033, 0 = -2*u - 2*n + 688. Suppose 349*y = u*y + 1056. What is the greatest common factor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + o**4 + o**3 - 15*o**4 + 15301*o**2 + 10 - 15301*o**2 + (-2*o**3 + 2*o**3 + 2*o**3)*(-4*o - o + 3*o))*(-o - 3*o + o).\nAnswer: 54*o**5 - 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/23 (b) -1.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 1506288409?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7479046 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, q: 2, m: 4}. What is prob of picking 2 q and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -106*5\/(-372) - ((-24910)\/(-22419))\/((-40)\/(-42))\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 4*z**2 - 17*z**2 + (-25 + 25 + 17*z)*(0*z - z - 3*z) - 2*z**2 + 2*z**2 - 2*z**2.\nAnswer: -86*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 231326855 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o - 18 = 0. Let j(p) = 3*p**3 - p + 1. Let u be j(1). Suppose -3*g + o = -u, -t - 2*g + 6 = 0. Is t >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1.3 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 3}. What is prob of sequence txt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z. Let n(x) be the third derivative of 353*x**4\/12 - 6*x**2 - 247. Give y(n(j)).\nAnswer: -2824*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from pxxbxpbpxbppxxp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 504\/22 - (-103)\/1133?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 21. Let g be n(-6). What is the hundreds digit of -1 - g - (-307 - -1 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185 + -170. What is the greatest common factor of t and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**2 - 36*y - 12. Let n(f) = -f**2. Let i(p) = -12*n(p) + v(p). Find x, given that i(x) = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 5, -89, -25.\nAnswer: -89, -25, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39 + 7)*(-2)\/(-4). Let f be 3 - 2\/(t\/(-28)). What is the biggest value in -2\/9, f, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/12 - 13*k**3\/6 + k**2 - 2. Let f(y) be the second derivative of m(y). What is the units digit of f(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z. Suppose 20 = -z*r + 4*r + j, 0 = -2*r + 5*j + 10. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 4*j + 3. Let y be k(-3). Let x = -0.66 - -2.61. Let i = x - -0.05. Sort i, -3, y in ascending order.\nAnswer: -3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/7)*s**(-4\/7)*s*s**(5\/4)*s**(-5) assuming s is positive.\nAnswer: s**(-85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -686\/31 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -587?\nAnswer: -57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2148 + -2141. Solve -q*z + 88 - 53 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*r + 20*r + 4*r**4 + (0*r**3 + 4*r**3 - 2*r**3)*(0 + 0 - r).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 41. Let t(q) = -10655*q + 5328*q - 10 + 31 + 5330*q. Determine -3*g(b) - 7*t(b).\nAnswer: -3*b - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:58 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151342?\nAnswer: 2, 31, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -164.88. Let g = 0.12 - o. Let w = g + -9. Which is the third biggest value? (a) w (b) 0 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -53*1\/8 + 8 + -1. Sort 22, 0, g, 2 in increasing order.\nAnswer: 0, g, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(5\/4))\/y*y)\/((y\/(y**5*y))\/y))\/(y\/(y\/y**4))**(-45) assuming y is positive.\nAnswer: y**(743\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -14. Suppose -j - 2 = -2*l, -3*l = 3*z - 18. Solve 0 = -5*q + z*t - 13, 4*q + 12 = q + t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-16)*t)*t)\/(t*t\/(t\/(t**(-10)*t)))*(t\/((t*t**(-7))\/t))**33 assuming t is positive.\nAnswer: t**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -32230001?\nAnswer: 32223331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n - 8*n + 8*n)*(-10 + 10 - 2*n) - 2*n**2 + 3*n**2 + 0*n**2 + (0 + 1 + 2)*(-3 + 2*n**2 + 3).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997215?\nAnswer: 5, 11, 36313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 36*m - 3 - 37*m - 2*m**3 - 34*m + 70*m - m**4 to the form q*m + l*m**3 + a*m**2 + b*m**4 + g and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970*l - 1016*l - 336 + 14 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/30*28746 - 106\/(-265).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.460671428 to 3 decimal places.\nAnswer: 0.461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -71 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1006, 4347, 9928, 17761, 27858, 40231, 54892?\n\"Answer: 2*m**3 + 1108*m**2 + 3*m - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 71 + 16*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008516 rounded to four decimal places?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 - -1.36. Let r = -1 + z. Let w be (-3)\/((-39)\/(-2)*1). What is the closest to r in -2, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 = 0, -v + 4*q + 63 = -88. What is the remainder when v is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 9*m**2 - m + 18. Let h be q(-9). Suppose -h = -52*r + 49*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g)\/(g*g**(-2\/5)))\/((g*g**(-2))\/g*g\/(g**(-2)*g*g))*(g\/(g\/g**1)*g*g**(-2\/5))\/(g\/(g*g**(1\/3)))**(2\/55) assuming g is positive.\nAnswer: g**(167\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 2*z)*(-2 + 4 - 35 + (-2 + 0 + 4)*(-1 + 2 - 2)).\nAnswer: -70*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + m - 10 = 0, -2*y + 145*m = 146*m - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 38*p**2 + p**3 - 66 + 3*p + 29*p**2 + 65. What is z(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*x - 10 = -k, 5*x = -k + 21. Let h = 201 + -213. Let m be ((-16)\/h)\/2 + 0\/6. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6245 + 6244.5. Which is the fourth smallest value? (a) -1\/4 (b) 4 (c) -3 (d) u (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 733994919 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.0682894 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 16324*f + 3. Let h be m(1). Suppose 0 = 2*y - 2*z + 6375 - h, -4*y + 19898 = -z. Is y\/12 + 3\/(-6) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10854030 is divided by 675.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 25*i + 125. Let z be j(10). Let y(p) = -229*p + 174. Is y(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3798950 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(-2))*f**25*f*((f**5*f)\/f*f)\/f*f**(-4))**(5\/9) assuming f is positive.\nAnswer: f**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45512*-0.3.\nAnswer: 13653.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3*-2*86. Let g = 4091\/8 - n. Let m = -2441\/141 - 50\/141. What is the common denominator of m and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 1930044511.\nAnswer: -1930044505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/7 - 4*b**4\/7 + 8*b**3\/7 + 16*b**2\/7.\nAnswer: -2*b**2*(b - 2)*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -14714\nAnswer: -5885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 + 0)\/((-6)\/(-24)*-4). What is the third derivative of -23*r**2 - 10*r**2 - r**6 + 44*r**2 - d*r**2 - 13 wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-20)*-122 - (-6)\/(-15) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -f + 229. Suppose 6*r - f = 11*r. Let l(k) = k**3 + 3*k**2 + k - 1. Determine l(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132957 = 519*j + 579*j + 585*j for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/799280 and -95\/364.\nAnswer: 72734480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13123 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79.132 - 0.132. Let k = 74 - z. Which is the biggest value? (a) 0 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -0.02, -6, 2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q - 9*q**5 + 21*q**5 + 5*q wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 4*q**2 - 7*q - 6. Suppose 31 = -2*k - 3. Let v = 12 + k. List the prime factors of t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382734?\nAnswer: 2, 3, 11, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04278 and 4.\nAnswer: 0.17112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2. Let x(y) be the second derivative of 19*y**4\/12 + 8*y. What is x(b(s))?\nAnswer: 76*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35910 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i + 16. Let h = -2 - i. Is h at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260*p**3*x - 2*p**2*x**2 - p**2 - 29*p*x + 8*x**2 wrt p?\nAnswer: -1560*p*x - 4*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4 + 2\/3*t**3 - 4*t**2 - 1\/20*t**5 - 1\/30*t**6 + 1\/2*t**4 - 24*t. Let q(u) be the first derivative of a(u). Factor q(f).\nAnswer: -(f - 2)*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -120?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1370*h - 4*j = 1368*h - 10, 3*h = 3*j - 21 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4*j + 2. Let y be w(4). Suppose -3*i + 10 = -y. Suppose 40 = 5*m - i*p - 81, -3*m = -p - 74. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*t - 10, -t - 25 = -5*w - 2*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*r**3 + 10*d**3*r**2 + 55*d**3 + d**2 - 223*r**3 wrt r.\nAnswer: 12*d**3 - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(13\/26*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1350664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.05958 times 2.1\nAnswer: -0.125118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/24 + 3\/9. Let v(m) = m**2 - 2*m - 1. Let w be v(3). Suppose -w*g = 2*g. Which is the smallest value? (a) r (b) g (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 375.8576 millimeters?\nAnswer: 37.58576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -68, 54, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8804*m. Let z(y) = -11*y - 5. Determine l(z(d)).\nAnswer: 96844*d + 44020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, 4, -68, -2, -277 in descending order.\nAnswer: 4, 2, 1, -2, -4, -68, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 801217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2*x)\/((x\/((x\/x**29*x)\/x))\/x))**(-1\/6))**36 assuming x is positive.\nAnswer: x**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961 + 366 = 35*n + j, -n = -5*j + 8 + 9 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14112479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - g = -117, g + 4*g + 15 = 0. Let d = 73\/3 - f. Let o be (-1)\/(-7)*3*-2. Which is the biggest value? (a) o (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/(-44)) + (-17)\/255*-25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 444?\nAnswer: 19\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*v - 2. Suppose 3 + 0 = -k. Let c = v + k. Solve z - 2*y + c*y + 17 = 0, -4*y - 8 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -14740*c + 5 + 5 + 14743*c + c**2. Let z(b) = 2*b + 9. Calculate 2*g(x) - 3*z(x).\nAnswer: 2*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031222 rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.034, -65, 0.2, 12 in ascending order.\nAnswer: -65, -0.034, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 170600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 64*m**2 - 438*m - 815. What is q(-70)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(200) + -4) - (sqrt(2) + sqrt(128)*-3).\nAnswer: 4 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - c = 2 - 3, -8 = -3*l + 2*c. What is the remainder when 11 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1112304561, 2224609121, 3336913681, 4449218241, 5561522801?\n\"Answer: 1112304560*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p - 66*p + 30 = -124*p. What is the closest to -84 in 3, 1, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 18. Suppose -m = g - 10, -2*m + z*m = -5*g + 45. Do g and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -2.1?\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-4)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2138.85879 to 1 dp.\nAnswer: 2138.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800107?\nAnswer: 7, 11, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 83.\nAnswer: 158\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 41*z**2 + 26*z + 176. What is the units digit of y(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 8 = -19 - 29, -2*v = -18*p + 20. Let o(n) = -22*n. Let t be o(-5). Let w be (4\/t)\/((-3)\/(-75)). Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192 + 168. Let o be (40\/d)\/(15\/(-72)). Solve g + o = 5*k + 5*g, -k - 4 = -2*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 936*h**5 - 5*h**3 + 38*h**2 - 463570*h.\nAnswer: 18720*h**3 - 30*h + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -12. Let a = b - 3. Let v(q) = -q + 2. Let s be v(2). Solve -4*l + 4*j + 0*j + 4 = s, 5*l + a*j = -9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1783b922?\nAnswer: -1783b91d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35456)\/5540*27\/24.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**5 - 628 + 628 - 14*l**2 + 11*l**5 wrt l.\nAnswer: 1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 * 43833.\nAnswer: 14903.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20 - -10) + 320\/30. Let f = -0.2 + 0.2. What is the nearest to f in -1\/2, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3915, -3\/7, 265\/6, -0.4?\nAnswer: 265\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/15 + 1871*k**2\/5 + 3500641*k\/5 + 6474. Suppose m(t) = 0. Calculate t.\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7138*c - 185591. Give b(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9156 less than or equal to 9153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 - 416. Let r = -82 - g. Let p = 2323\/14 - r. Which is the smallest value? (a) 1 (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(8 + (-2)\/(7 + 585\/(-87))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4.1, -3\/4, -6\/13, -1 in increasing order.\nAnswer: -4.1, -2, -1, -3\/4, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) - (-1)\/(-2). Let n be (-38)\/(-57)*(-6)\/4. Put 2, q, n in decreasing order.\nAnswer: 2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 7*l - 1. Let x be y(3). Let h = 8 - x. Suppose 2*o + 0*o + 3*m - 314 = 0, 452 = h*o - 5*m. List the prime factors of o.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -152286 + 3?\nAnswer: -152283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -1\/3*g**3 + 4 + 0*g**2 + 0*g**4 + 0*g**5 - 4\/3*g**6 + 0*g. What is the third derivative of r(o) wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 20, -4, 4, -5, 15 in descending order.\nAnswer: 20, 17, 15, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/6 + 3*i**2\/2 - 2*i. Let t be q(-3). Solve 3*x + 27 = -t*x - 3*j, -3*x = j + 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2)\/(-16) + (-476)\/(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**4 + 5212824*w**2 + 3937766?\nAnswer: -4*w**3 + 10425648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.636059497 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -198. Let q = d + -28. Differentiate -q + 6*l - 43 + 86 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 3*s - 12*s + 10*s + 5*s. Let n(i) = 12*i**2 + 4*i + 4. Let b(p) = p + 1. Let k(t) = 8*b(t) - 2*n(t). Calculate h(k(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*v**3 + 47*j**3*v + 197*j**2*v**3 + 2*j*v + 2*v wrt v.\nAnswer: 6*j**3*v + 1182*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1 + 13*c**3 - 18*c**3 + 2*c**2 - c**2. Give n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 - 2*r**2 - r. Let t be m(-1). Suppose h = -0 + t. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 22777?\nAnswer: 22778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 2 i when four letters picked without replacement from {n: 1, c: 1, i: 3, k: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(-3*i + i + 7*i - 1).\nAnswer: 20*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58826 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-48)*9*(-2)\/(102\/119*7).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*k - 4 = 0, o = -3*k - 0*k - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33454545 divided by 33454545\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.5. Let m = -3 - -3. Let f = m + -1. Which is the nearest to f? (a) -1 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53346164?\nAnswer: 2, 31, 281, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*f**4*s**2 + 889*f*s**2 + s**2 + 408*s + 21 wrt f?\nAnswer: 60*f**3*s**2 + 889*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 6*g + 5. Let b be d(-4). Let r(z) = 0 + 6*z**2 - z - 4 + z**3 - 1. Let s be r(-6). Sort s, 8, b in ascending order.\nAnswer: b, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000111110011110111110 - 10?\nAnswer: -110000111110011111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 26 = -2*y. Find the common denominator of -1\/61 and (4\/66)\/(y\/(-360)).\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 56 = -w, -5*y - 274 + 202 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 1:50 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1378233, -2756450, -4134667, -5512884, -6891101?\nAnswer: -8269318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*j + 20, 2*d + 12 = 3*j - j. Put 0, d, 5 in decreasing order.\nAnswer: 5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(7) + 2 + -4) - -5*sqrt(175) - (-1 + 0 + sqrt(49)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: -6 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o**(-14)*o)\/o)\/o))\/o)\/o**(-14))\/((o\/(o**(2\/35)*o))\/o**(-11)) assuming o is positive.\nAnswer: o**(632\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -8*m + 12*m + 28, -5*m = p + 14. Suppose -p*q = -21*q + 2760. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w. Let r(d) = d - 1. Let c(f) = -10*f + 11. Let b(m) = -4*c(m) - 44*r(m). Determine b(t(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = d - 0*d, -2 = -5*d - 2*o. Let c = 2 - d. Solve 2*u + 5*f + 4 = 0, -4*u - 3*f - 8 = -c*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.384 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x. Let n(o) = 4*o - 75 + 156 - 81. Let i(u) = 4*n(u) - 5*z(u). Let g(c) = 14*c. Give i(g(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64061645 - 64061625.0000212. Let o = -20 + s. What is o rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3915 and 632640?\nAnswer: 165119040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.240373 hours?\nAnswer: 29665.3428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 5*n**2 - 4*n - 4. Let q be g(5). Let a = q + 73. Suppose -b - 17 = -2*b. What is the remainder when a is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w + 1. Let j(l) = l**2 + 10*l - 14. Let t(k) = 2*f(k) - j(k). Factor t(d).\nAnswer: (d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 33\/2, -8, -1\/7, 2\/13 in descending order.\nAnswer: 33\/2, 5, 2\/13, -1\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -57.2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -4, -5 in increasing order.\nAnswer: -5, -4, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 125 and 80.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(((-90)\/12)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkaa when four letters picked without replacement from katakatdak.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 21200 - 63564 + 21190 + 35*a + 21187 as u*a + r and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v - v)*(0*v**2 + v**2 - 4 + v**2).\nAnswer: -2*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -463 + 6479. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - b - 1. Let m(o) = o**3 + 2*o - 1. Let w(j) = -m(j) + 3*r(j). Calculate the remainder when w(-3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90478421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2196 and 116876?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 53320592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36492690457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492005 divided by -1253?\nAnswer: -3585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120211202102 + 1?\nAnswer: -1120211202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 1, s: 3, h: 1}. What is prob of picking 2 i and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1616a65 (base 11) to base 4.\nAnswer: -22202100233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = m - 5*q, 2*m + 3*m + 2*q - 521 = 0. Suppose -m = -53*j + 54*j. Let z = j + 199\/2. Calculate the common denominator of z and 20\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12937, -13317, -13693, -14065?\n\"Answer: 2*k**2 - 386*k - 12553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**3 + o**2 - 2*o + 1. Let b be r(1). Let i be (-1 + -2)*((-12)\/9)\/2. Solve i*m = -w + 6, m = -m + 2*w + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from ttttthttzwzttzwt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*k + 2*g**2 - 13*g*k - 2*k wrt g?\nAnswer: 6*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2847253 is divided by 1650.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 32*d = -47*d + 69, w + 7 = -3*d for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:38 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 830\/17430*7392\/55?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0 in ascending order.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -839.468297 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1417206 or -1417177?\nAnswer: -1417177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d - 13a8?\nAnswer: -1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 11 + -12 - -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*j**2 + 1352*j**2 + 290*j**2.\nAnswer: 2540*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28604 - 19601. Let u = q + -783241\/87. Calculate the common denominator of -34\/15 and u.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) 6\/31 (c) -3 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*j + 75*j - 53*j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-10))\/((-19)\/((-855)\/18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = r. Suppose -4 = -r*h - 0. What is the derivative of 1 + h*d**2 - 4 + 2 wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q + 4*q + 2*q + (0*q + 0*q + 2*q)*(-1 + 2 + 1) + (61*q + 8*q - 3*q)*(10 - 15 + 33) to the form g*q + z and give g.\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 798*z - 77. Let h(t) = -21*t + 2. Let x(r) = -77*h(r) - 2*m(r). Let n be x(1). Suppose 5 - 8 = -u. Calculate the greatest common factor of n and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 127853 - -199?\nAnswer: 128052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsql when four letters picked without replacement from sgsloqw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.301 - 0.001. What is the second biggest value in -3, -0.5, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2.05, 4, 0.5, 2\/3, 38, 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 10 = -5*h - v, -2*h + 3*v + 21 = 0. Let y = -157 + 781\/5. Which is the closest to -1\/2? (a) 4 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0 (b) 1\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(1872))*3)**2.\nAnswer: 432*sqrt(13) + 33714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggee when four letters picked without replacement from geogeegoeeegggeeee?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -11 - (4 + 4 + -1 - 20).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 1, l: 8, j: 4, n: 3, w: 2}. What is prob of sequence nqw?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 385. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 463*b - 550*b. Let r = 1 - 1. Put b, -36, -3, r in descending order.\nAnswer: r, b, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3128 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 8, -12*y + 17*y - 5*z + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + 12.7. Let j = f + -14.76. Round j to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26972 is divided by 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-2 - -2))\/(-1) - -6. Which is smaller: k or -4\/49?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*p + 2\/3*p**2 - 10\/3.\nAnswer: 2*(p - 5)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 4983, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, y: 2, d: 1, b: 8, r: 1}. Give prob of sequence rkyy.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.9967 - -45. What is w rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -8. Let i = 9 - -18. Let l = 59 - i. Calculate the remainder when l is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -22.86. Let m = 1.85999834 - k. Round m to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12674 + 35.73326. What is c rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/14, 9774, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(8\/5)*q*(q\/(q\/(q*q*q**18)))\/q assuming q is positive.\nAnswer: q**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjfjffjffjf. What is prob of picking 3 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-63 - (-63 + -19)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5\/6*i**2 + 2\/3 + 2*i = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6) + 0 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14512579.\nAnswer: 14512579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 1. Suppose -2*d + 28 = -2*y, -d + 4*y - 25 = -6*d. Is o(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*c)*(0 + 0 + 3)*(7 - 3 - 3)*(-3 + 3 + 1)*(26*c + 10*c - 11*c).\nAnswer: 225*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/30 and 103\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/5800 and -44\/26825.\nAnswer: 214600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 5. Let m be p(-2). Solve -n = -0*n - m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 2449.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7658 (b) 21 (c) 3\/4 (d) -0.5 (e) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -622233*q**2. Let b(t) = 8*t**2. Calculate b(g(k)).\nAnswer: 3097391250312*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218785459*p - 6*p**2 - 218785459*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let a(q) = 2 + q + 29 - 7. Determine o(a(h)).\nAnswer: 2*h**2 + 96*h + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1872561.8024948 - -1489031.10249. Let v = -383526.7 - r. Let h = -4 + v. Round h to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Suppose p*i - 5250 = -0*i. Round i to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -18 (b) 1 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - g = 3, 0 = -5*s - 11*g + 7*g - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = -h, 0 = 5*r - 0*r - 3*h - 22. Suppose -37 = -r*q + 3*l + 23, 3*l = q - 12. Calculate the remainder when 47 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*k**5\/8 + 427572*k**4 + 4031357*k**3\/2 + 2687535*k**2\/4 - 33716763*k\/8 + 4397841\/4 = 0. What is k?\nAnswer: -488649, -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -841*h**3 + 21*h**2 - 543. Let t(c) = -421*c**3 + 9*c**2 - 272. Let s(r) = -7*t(r) + 3*z(r). Differentiate s(n) wrt n.\nAnswer: 1272*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*y - 819 + 80425 = 0, 5*r - 2*y - 132682 = 0. List the prime factors of r.\nAnswer: 2, 3, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 546*d**2 + 50192*d - 459. Determine s(-429).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*f + 1512 = -180*f. Calculate the remainder when f is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let i = -79 - -78. Let m(s) = 2*s + 1. Give i*d(x) - m(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 2*r + 2. Let w be o(1). Suppose 2*h = 2*s - 4, -2*h = -2*s - w*h + 12. Solve b + 5 = -s*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30.65015 millennia?\nAnswer: 367801.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11277.59 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36566845 rounded to the nearest 100000?\nAnswer: 36600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 2*b**6\/45 + b**5\/15 - 2*b**4\/9 + 13*b. Factor a(s).\nAnswer: 4*s**2*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-90)\/30)\/((-36)\/(-8)))\/((-1)\/90).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22048 - 118257 = 23*c. What is c rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396365.\nAnswer: 5, 79273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/829796 and 167\/4752468?\nAnswer: 52277148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 - o - 1. Let r be 12\/54 - 38\/9. Let s = 2 - r. What is c(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 14068\nAnswer: 5627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9 - 2157728.\nAnswer: -2157736.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*w - 15168 = -388*w + 44*w for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (144\/63)\/(2\/7). Solve -3*v - 2*v - 2 = -z, -2*v - c = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(75) + -3)*-6 + (sqrt(75)*-2*2 - 4*(sqrt(75) - (sqrt(75) + 1 + sqrt(75)))))**2.\nAnswer: -2400*sqrt(3) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (((-5)\/2)\/5)\/(6\/(-52)). What is the closest to 1 in -2\/11, j, 5\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srzsszsrrrzrrbszs. What is prob of picking 1 s, 1 r, and 1 z?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + 122. What are the prime factors of l?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/30)\/(15\/(-10))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) -98 (d) -1 (e) 3\/332 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -271418217.0476\nAnswer: 271418212.0476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 3*t = -3*g - 147598, 3*g - 110724 = 2*t. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*g = -11, -5*v + 3*g + 15 = -2*v. Determine d, given that v*d**2 + d + 16*d - 13*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 42824952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 520197 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3087\/152725 + -7\/447. Calculate the common denominator of 49\/41 and w.\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154.1 - 134. Let a = 21 - d. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9))**(-2\/15) assuming b is positive.\nAnswer: b**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**2 + 1. Suppose -75*w = -20*w - 165. Let i(l) = -4*l**2 + 1. Give w*i(n) - 4*g(n).\nAnswer: 8*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50251091597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*297\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/871 - -25018\/39195. Calculate the common denominator of w and -2\/305.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11021245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 892\/297 or 2?\nAnswer: 892\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6599.\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -39, -76, -131, -210, -319?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 1650*v**5 - 264155*v**4 + 14191405*v**3 - 260835525*v**2 + 267543205*v + 20842780 = 0.\nAnswer: -4\/55, 7\/6, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 6:15 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670322?\nAnswer: 2, 335161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 484 - 160 + 26*s**2 - 162 - 148 + s. Let q(x) = -9*x**2 + 2*x - 5. What is 6*a(u) + 17*q(u)?\nAnswer: 3*u**2 + 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 312 (b) 0 (c) -4851\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -809631, -809632, -809633?\nAnswer: -809634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108582856*i - 166362420?\nAnswer: -108582856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760045 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51118012, -102236020, -153354028, -204472036, -255590044?\n\"Answer: -51118008*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 4*u**2 - 6*u + 3. Let c(r) = -6*r**3 - 11*r**2 - 17*r + 9. Give -17*a(f) + 6*c(f).\nAnswer: -2*f**3 + 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*50\/125 + 2 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 - 7*u\/2 + 6 = 0. What is u?\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12974077, -12974074, -12974071?\n\"Answer: 3*d - 12974080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1.8. Let c = f - -0.3. Let k be (1\/4)\/((-12)\/(-8))*2. What is the closest to c in -0.2, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2. Let t be (6\/(-8))\/((-2)\/(-8)). Let q be (1\/t)\/((-2)\/6). Let s(c) = q + c**2 - 1. Give s(v(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 - 4 + 4 - 6*l**2 + 4*l**2 + 0*l**2 + 2*l + l**2 - 2*l + (-l + l + l)*(0*l + 2*l - 4*l) + 10*l**2 - 11 + 11 + (-l - 4*l - l)*(-6*l + l + l).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58647*n**2 - 121810268*n - 5*n**3 - 130198086720 - 9969172*n + 14187*n**2.\nAnswer: -5*(n + 2964)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.217 * 0.1\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**4 - 180*z**2 + 575 wrt z.\nAnswer: -12*z**3 - 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(300) + -4 - sqrt(300))**2.\nAnswer: -80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -982, -2287, -4128, -6505, -9418?\nAnswer: -12867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 44 = -4*x. Let b(w) = w**3 - 12*w**2 + 11*w + 10. What is the tens digit of b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 198 = -4*w. Let z = w + 31. Let l(t) = -t**3 - 3*t**2 - 1. Let h(a) = 3*a**3 + 7*a**2 + 2. Give z*h(r) - 5*l(r).\nAnswer: -r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d - 2*g + 13154, -4*g - 12 = 0. Let j be 4\/6 + d\/30. Let b = 88 - j. Is -1 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 20. Let l be p(-10). Solve -z + 2*q = 4*z - 15, 0 = -2*q - l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3663 = 2*q - 4044, 0 = q + 2*x - 190. Calculate the lowest common multiple of 329 and q.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-6) - (-1 + 3)\/(-4). Let b be 2\/(-3) + 203\/k. Suppose -b*x + 10 + 16*x - 24*x + 65*x**2 = 0. Calculate x.\nAnswer: 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 127, -1, -5, -4.\nAnswer: -5, -4, -1, 1, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*r**2*u**3 - r**2*u**2 - r**2*u + 6*r**2 + 65*r*u**3 + 6*r*u**2 + 59*r*u + r wrt r.\nAnswer: -300*u**3 - 2*u**2 - 2*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68179659.\nAnswer: 3, 23, 988111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**4 - 77*s**3 - s**2 + 64*s + 60122 with respect to s.\nAnswer: 4*s**3 - 231*s**2 - 2*s + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 6 + 11*h + 0 - 2 + 7*h**3. Let t(p) = 6*p**3 - 4*p**2 + 10*p + 3. Let l(w) = -6*t(w) + 5*u(w). Factor l(s).\nAnswer: -(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 12*m + 7*m = -3, 8*k + 3*m + 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48374003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2606104 divided by -8?\nAnswer: 325763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -431?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84520229 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -24. Let u(q) = -7*q - 6. Let i be u(n). List the prime factors of i\/4 - (-3)\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.42\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 769907 to the power of 1\/2, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 - -88. Let n(r) = 27*r - 3*r**3 - 3*r**2 - 2*r**2 + 2*r**3 - 21*r. Let w be n(-6). Solve 3*f + b = -w*b - 10, -4*f + 5*b - 45 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(16)\/sqrt(2)) + 4*sqrt(19) + -5 + (-5*(sqrt(171) - 2*sqrt(171)) + 4 + sqrt(171)*2 + sqrt(171))**2.\nAnswer: 197*sqrt(19) + 10955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1023231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 408839?\nAnswer: 3\/408839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145943 - -146057.401. Let d = 112.9341 + 1.0659. Let t = b - d. What is t rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026248 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 560853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o**5 + 4*o**2 - 4*o**2 - 5*o - 7*o**5 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 37*r + 665. Let v be w(-18). Which is greater: v or -1\/2686?\nAnswer: -1\/2686","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 503*b**4 - 57*b**3 + 18*b - 35071 wrt b?\nAnswer: 6036*b**2 - 342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5152137 to the nearest integer?\nAnswer: 2270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1016, -2009, -2996, -3977, -4952, -5921, -6884?\n\"Answer: 3*g**2 - 1002*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 638210.3 nanograms?\nAnswer: 638.2103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 5. Let x(h) = 7*h - 1. Let a be x(1). Let b = -4 + a. Let f(g) = -g + 2. Let t(p) = b*v(p) + 5*f(p). Let c(r) = -6*r**2. What is c(t(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/135 and 19\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 9. Let b be p(-4). Let v = -17 - b. Is (2104\/20)\/(v\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 1. Let g(u) = 33 + 2*u - 74 + 37. Let o(h) = 4*a(h) + g(h). Let s(j) = j + 10. Give o(s(p)).\nAnswer: -2*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 14*k**2 + 11*k + 22. Let o be l(14). Let r = -96 + o. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139200*g**3 + g**2 - 56*g + 25531423 with respect to g.\nAnswer: -417600*g**2 + 2*g - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617, 1162, 2069, 3338, 4969?\nAnswer: 6962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (230*y**3 - 163 + 163)*(41 + 78 - 1 + 16) to v + b*y**2 + f*y + j*y**3 and give j.\nAnswer: 30820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 141, 280, 425, 570, 709?\n\"Answer: -a**3 + 9*a**2 + 119*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b - 520 - 360 = -19*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79430, 79417, 79394, 79361, 79318?\n\"Answer: -5*a**2 + 2*a + 79433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883*b - 2747*b + 927*b + 920*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58c13c + -132?\nAnswer: 58c00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 16) in base 10?\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1236.801 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1\/27, -1\/5, -4 in decreasing order.\nAnswer: -1\/27, -1\/5, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 574\/9. Let z = 0.534 + -0.034. What is the biggest value in m, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-22)*-3*(119\/21 - 7). Factor -20\/11*d + 0 + j*d**2.\nAnswer: 2*d*(d - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -533, 2, 4165?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000550 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -9583?\nAnswer: -9583.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47870 is divided by 197?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y - 34. Give c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2812, -5622, -8432?\nAnswer: -11242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3330 is divided by 223.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -13*y + 7*y + 4*z, 0 = 5*y + 3*z - 55. Let w = -55 - -91. Suppose -w = 5*g - y*g. Solve -4 - g = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttcctccttcctc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from gggpgavpgggrppppa.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2580 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c - 212 = 8. Suppose 3*h - 3 = -0. Solve -c*b + h = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 24 = -4*q, 68*l - 66*l - 300 = 50*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 6*c + 4. Suppose 5*k = 5*y, -5*k - 6*y - 45 = -2*y. Is g(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/9 and -55\/321.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/45*(-25)\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 69 + 21. Is -15 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**2 + 15*w - 39. Let r be f(7). Suppose -7*c = -3*c + 3*j - 753, -3*c - 4*j + r = 0. Does 48 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u**2 - 11*u - 8. Suppose -20 = 3*g - 5*s, -g = -2*s - 2 + 9. Is o(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/84)\/((-405)\/(-288)))\/((-724)\/(-905)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1336 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 f when four letters picked without replacement from {q: 6, e: 10, f: 4}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:25 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1525 and 13420.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**3 + 4*s**3 + 49*s**3 + 41*s**3.\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - g**2 - 2*g + 1. Let p(i) = -3*i**3 + 9*i**2 - 18*i - 4. Let q(b) = p(b) - 2*s(b). Suppose -5*m - 4 = 56. Does 4 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (19 + -19)\/(-3 - -1). Put 9, j, -12, -4 in decreasing order.\nAnswer: 9, j, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 + 178*p**3 - 87*p**2 - p?\nAnswer: -48*p + 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k)**(-10)*(k\/k**(2\/5))\/k**(-2\/9) assuming k is positive.\nAnswer: k**(-1991\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 14 = 2*j, -h - 9 = -4*j + 8. Let x(r) be the second derivative of r**5\/20 - 5*r**4\/12 + 2*r**3\/3 + r**2\/2 - r. Give x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + -0.01. Which is the biggest value? (a) -1\/6 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 702.\nAnswer: -2\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 72 + w - 72. Suppose -4*a = -3*a + 1. Give m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 259.93 + -260. What is the closest to 2 in f, -0.5, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16 - 6 - h - 4*h**2 - h**3 - 9 + 0. Let g be l(-3). What is the fourth biggest value in g, 1, 4, 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 72*m + 920. Determine t(11).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((164325\/(-10210))\/(-7)). Let f = -1\/313 - x. Calculate the common denominator of f and -13\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-74)\/444)\/((-1)\/4 - -1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:05 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olk when three letters picked without replacement from zzggkzlzkkezglzlozkl?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 318 (b) 4 (c) -6\/35 (d) -2 (e) 26 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/25, -2\/7, -0.22, -1, -26, 4, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) + sqrt(77)*2)*6*-5)\/((-6*sqrt(132)*-1)\/(-2*sqrt(108) + sqrt(108))).\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*g**3 - 30*g**3 - 4*g**2 + 1 + 0*g**3 + 0*g**2 to f*g + h*g**3 + z*g**2 + o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-18\/5) assuming j is positive.\nAnswer: j**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 6\/11 (c) -0.051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(300) - (sqrt(300)*-2*-6 - sqrt(300)))**2.\nAnswer: 67500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.8, 13, -6\/173, 4, 0.4, 73\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29290274 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 572 - 364. Calculate the highest common divisor of 64 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 253 = 39*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:09 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*c + 15, 7*c - 9 = -4*y + 2*c. Let m be (-2)\/y - 20\/(-36). Suppose 3*n + 3 = 6*n. Sort m, 0, n in descending order.\nAnswer: n, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64500 - 120*l + 4010*l**3 - 4*l**2 + 128996 - 64497 wrt l?\nAnswer: 24060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {l: 1, c: 2, z: 2, p: 2, h: 2, i: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 47.8. Which is the biggest value? (a) 2 (b) k (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94889.\nAnswer: 94889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, m: 11}. Give prob of sequence mmj.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12376 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0 - 3, -1 = x - j. Let o be 50\/20*x\/20. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486998958?\nAnswer: 2, 3, 37, 2193689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.5. What is the closest to 2\/5 in -1, y, -0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7600\/(-175) - -43)\/((-93)\/105 + -1)?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddp when three letters picked without replacement from {s: 1, d: 2, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -8*b + 49, -2*q + 13764 = 5*b + 13734 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2 + 4 - 5 - a + 2*a. Determine x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011110000001101 (base 2) in base 12?\nAnswer: -114725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1505589 - -3?\nAnswer: -1505586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 40063610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 2, w: 3, m: 1, f: 4}. Give prob of picking 1 m, 1 y, and 1 w.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2245 = -2*l + 1113. What are the prime factors of l?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*r - 78*r + 311*r - 30*r in the form q + o*r and give o.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/24 - 2*n**3 + 23*n**2\/4 - 161*n. Solve s(l) = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 divided by -321?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.12 + 0.92. Sort h, 1\/20, -0.1, 2\/7 in decreasing order.\nAnswer: 2\/7, 1\/20, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9769 - -2.9769. Which is the closest to -4? (a) 1.2 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7 = -p + 2, -4*p + 3*g = -30. What is the closest to -2\/3 in p, 57.4, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**2 + 694056*n - 694060 = 0.\nAnswer: -173515, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6193959532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, o: 1, v: 1, i: 2, m: 1}. Give prob of sequence iv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -873, -4116, -9517, -17076, -26793, -38668?\n\"Answer: -1079*g**2 - 6*g + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + w = -2*w + 144, 3*z = -5*w + 217. Let l = z + -25. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5353, 5352, 5351, 5350?\n\"Answer: -d + 5354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -6 (c) -4\/7 (d) 0.2 (e) 324.9 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5.84. Let q = -7.16 + d. Let f = -6 - q. What is the nearest to -0.1 in f, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = d - 4*d + x, -4*d - 2*x = -6. Is (d - (-10)\/(-4))*(-2946)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1263565996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c = -10. Is c\/6 + 98\/3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11030 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -54. Suppose -d*f + 10*f - 18480 = 0. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -17814.\nAnswer: 1\/5938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504546.\nAnswer: 2, 3, 7, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - 6*q - 7. Let b be p(-5). List the prime factors of (-156)\/b - (3 + -2).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -34.8776 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*t + 45*t = -3*t + 40392. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3677694 and 3930?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-165)\/45 + 3)*-6. Let d(f) = f**3 - 4*f**2 - 2*f - 7. Let k be d(5). Solve -3*y - a = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 - ((-69)\/21 + -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 - -6.1. Let k be 4 + 1 + (-11726)\/(-130). Let a = k - 95. What is the third biggest value in -8, h, a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(5\/(840\/36)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = b - 825, 5*b - 3*b - 1674 = -2*h. Suppose 2484 = -3*l + 4*o, 0 = 2*l - l + o + b. What is the tens digit of 16\/88 + l\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.266 and -7.443 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, i: 5, q: 1, c: 1}. Give prob of picking 1 i and 1 c.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 423, 506, 659, 906?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18174406.\nAnswer: 2, 9087203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -6 + 3, 5*p + 6 = 4*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 110. Suppose 0 = i + 3*h - 5, -5*i + i - 5*h + c = 0. List 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 second derivative of 43898894*l**3 - 384*l + 2187?\nAnswer: 263393364*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 108. Suppose -i + 206 = 2*y. List the prime factors of y.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 0*r**2 + 12 - 12 - r**2. Let o(h) = 4*h**2. Give j(o(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/51*(-18)\/75*(-440)\/22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1360 - -6798\/5. Let d = 3850\/40303 - -2\/983. Let q = 126\/451 - d. Sort 1, p, q, -3 in decreasing order.\nAnswer: 1, q, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 7*p + 2*p + (-2*p - 2*p + 6*p)*(1 - 8 - 1 + (-1 + 0 + 4)*(-1 - 4 + 0)) in the form x + g*p and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29490779861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 561\/(-3355) + (2\/(-4))\/((-280)\/112)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4398.000024735 + -4398. Round p to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758 + 124 - 108 + 396 = -26*m for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 11*u**2 + 31*u + 42. Give t(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 17*h**2 - 14*h - 42. Let o be a(-8). Solve o - 5 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:21 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 13*j**4 + 247141*j**3 - 123568*j**3 + 2*j - 123570*j**3 to the form z + r*j + s*j**3 + u*j**2 + f*j**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165.1 - -164.57. Let u = -2.84 + 2. Let q = u - g. Round q to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -213. Let g = q + -21. Calculate the greatest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 79 - 44 = -5*a, -a = 5*v - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - 1 - (-144 - -387 - 158).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l - m = 93, -10 = 2*m. Let t be 4\/l - (-46)\/(-11). Let f be 2\/t*(-20)\/50. Which is the biggest value? (a) f (b) -2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 458 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 191036*v + 9123688324 = 0. Calculate v.\nAnswer: 95518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (3 + sqrt(7)*1) - (1*sqrt(14))\/sqrt(2)) + -3*1*sqrt(700))**2.\nAnswer: 186*sqrt(7) + 6736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + -1 - (905 - 994).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -52*c - 3. Give q(2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 3. Let v(i) = 5*i - 4. Let n(h) = 4*s(h) + 3*v(h). Let f = 5 - 3. Let b = f - -3. Give n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(13\/455)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 34. What is the third smallest value in 3, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 2*h - 27, -15 = 4*s + 3*h + 2*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1343, -9541, -31779, -75077, -146455?\n\"Answer: -1170*z**3 - 8*z - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48298 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-205)\/(-820) + (-46)\/(-8). Let b(l) = 21*l - 90. Give b(j).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -231428*c + 4. Suppose -9 = -4*o - 5*r, 0*o - 4*r + 5 = o. Let s be -9*(-6)\/(-9) - o. Let t be m(s). Round t to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 7*k + 20. Let a be p(-9). Solve 124*z**a - 61*z**2 - 61*z**2 + 16*z - 16 + 40 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1257126\/113 - -11125. Which is smaller: 2\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 280 = -f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5 times -0.0963?\nAnswer: -0.91485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1675873856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/6537 - -6529\/26148. What is the third smallest value in 1\/6, y, -1, 0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/5 - 65342*k**3\/5 - 914444*k**2\/5 - 1567536*k\/5 = 0?\nAnswer: -32657, -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 131149000 to the nearest 1000000.\nAnswer: 131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 57, 11 in descending order.\nAnswer: 57, 11, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29321 - -57.334582.\nAnswer: 57.041372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 87*r**3 - 2*r**2 + 2*r. Calculate v(1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 516024 (base 7) in base 3?\nAnswer: 11111102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1639884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14740 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -134 + 104 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 - -140. Let d(u) be the first derivative of -5\/3*u**3 - 1\/2*u**2 + 5 + a*u. What is the second derivative of d(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-1)\/((sqrt(4) + sqrt(64))*3).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/7 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -4*t. What is the second derivative of -6*u**2 + 2*u + 0*u + 9*u**t wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 291 - 287. Suppose 0 = 4*i + a, 2*u - i + 85 = 650. Calculate the remainder when u is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let f = -2 - k. Let x be -2 - -5 - (1 + f). Which is smaller: 3\/4 or x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17583264 - 0?\nAnswer: 17583264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3060 + -3.\nAnswer: -3063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, o: 7, b: 4}. Give prob of sequence btbb.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1692740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240962488 minus -5966?\nAnswer: 240968454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -66. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*3\/((-63)\/(-3))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + 9 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 172\/5. Let i = 1\/11 - 27\/55. Let x = -0.084 - -0.584. Put x, n, i in descending order.\nAnswer: x, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/5, 4, 0, -7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129457, -258930, -388403, -517876, -647349, -776822?\nAnswer: -906295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -293*d**3 - 30578*d**2*i**2 + 13642930*i**2 wrt d?\nAnswer: -879*d**2 - 61156*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -64, -3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 + 52*t - 46 + (1 - 1 - 2)*(2*t + 3 - 3) + 5*t - 3*t - t + 2*t + 2*t - 3*t.\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from eeeesseeaanaeseaae.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/5)\/s*s)\/s)**(-36\/11)\/(s**5*s**5))**(-2\/41) assuming s is positive.\nAnswer: s**(884\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -372643205\nAnswer: -372643204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5))\/((-1)\/(-30)). What is the units digit of 2\/8 - 153\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 7*d**2 - 2*d - 22. What is the lowest common multiple of o(5) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 667.7889 to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(-1 + (2*(-1 + sqrt(2057)) - (6*(sqrt(2057) + (sqrt(2057) + -2 - sqrt(2057))) + sqrt(2057))) + -3)**2.\nAnswer: -2640*sqrt(17) + 205840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)*s)**33*(s**2\/s)**(-2\/157))**6 assuming s is positive.\nAnswer: s**(77691\/314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 1341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 15) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8233*-0.4\nAnswer: 3293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a - 25*a - 20444. Let h = 16655 + a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6*r - 2. Let u be t(-8). Let w = u - 9. Suppose -w*q = 10, 35 = -3*p + q + 88. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvvrvxvrzvrvrzxv. What is prob of picking 1 r, 2 z, and 1 v?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 21*o**3 - 10287*o**2 + 1247622*o = 0.\nAnswer: 0, 1546\/7, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**2*t*w**3 + 40*p**2*t*w**2 - 1491*p**2*w + 78*p*t*w**3 - 89*p*w - 6*t wrt p.\nAnswer: -4*t*w**3 + 80*t*w**2 - 2982*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Let a = -56667.9983 - -56672. Let j = a - d. What is j rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5124 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -9 (b) 4\/7 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*11\/22*(-2)\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 + (-22)\/(-10). Suppose -v = -t, -l - 3*t = 2*l - 60. Calculate the greatest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 549195306*j**4 - 496866579.\nAnswer: 2196781224*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -18\/13 (b) 0 (c) -0.4 (d) 3\/112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15300232 (base 6) to base 16.\nAnswer: -8303c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*z = 52*z - 64 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/(-120)) + -17 + 17. Let c = l - 59. Suppose 0 = 2*n + 5*m - 10, n + 2*m + 2*m + c = 0. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 + 29*n**2 - 21*n + 106. Determine c(9).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 71. Let h(l) be the second derivative of 1\/12*l**4 - 1\/2*l**3 + d - l + l**2. What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -799, -798, -797?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 293425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171912 - 171911.920029. What is d rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c - 3. Let l be q(7). Let u = l + 10. Solve 0 = -2*p - u*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13.3. Let w = 2.9 - 3. Put -5, w, g in descending order.\nAnswer: w, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171498 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: Expand -d + 4 - 4 + (1 - 4 + 5)*(-d + 0 + 0) + 2 - 2 - 3*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12534 - 7362. Suppose t = -4*f + 60804, f = -5*t + q + 10048. Round f to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*y**2 - 155*h**2*y + h**2 - 3*h + 304*k*y**2 - 13*k*y + y**2 wrt y.\nAnswer: 2*h**2 + 608*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 110*n**2 + 47472*n + 234360.\nAnswer: -2*(n - 186)*(n + 5)*(n + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36404?\nAnswer: 2, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200010201020 - 1?\nAnswer: 100200010201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, 5\/6, 22, -1\/2, -2.4 in increasing order.\nAnswer: -2.4, -1\/2, 5\/6, 8\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 15. Let i(z) = -2*z - 22. Let b(w) = -7*c(w) + 5*i(w). Suppose 432 = -7*q + 15*q. Let f = 50 - q. Determine b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572) + sqrt(572)*2)\/sqrt(11))\/(sqrt(100)*1)*5.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 4*z + 228. What is o(-7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from wppcwgewgwpwggkgkgc?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 3*s - 10, 2*l - 6 = 4*s + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 3ba?\nAnswer: 3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-4 - 4) + 19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 - 183. Suppose 3*f - 6 = 5*f - z*v, -3*f = -3*v + 3. What is the nearest to -1\/5 in 1, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from jrrrrrrrjrrrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-18 + 27) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/w**(-1\/17)*w**(-10)*(w*w\/(w*w*w**(-6\/11)))\/w)**21 assuming w is positive.\nAnswer: w**(-29043\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 48. Suppose 2*d + 3*d = 25, -x = 2*d + 109. Let h = 130 + x. Is h != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Suppose 0 = 8*h - 5*h + 18. Let j be (-4)\/18 + (-76)\/(-18). Let p(s) = 3*s + 4*s + 6 - j*s. Determine h*k(r) + p(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13348 + -9699. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((16\/((-512)\/120))\/(((-1548)\/(-1248))\/43))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 8*l + 25. Calculate r(-11).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104504 (base 7) in base 5?\nAnswer: 1042203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7305 + -7544. Is 0.1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 60) + 30 - -30\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-17) - (-413266)\/833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2 - o**2 - 1 - 1 + 2 + o**3. Let z be 28\/13 + (-6)\/39. What are the prime factors of m(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4817975.96 to the nearest 1000.\nAnswer: 4818000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691110420 less than 3691110421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 4, y: 2, l: 2, s: 1, q: 2}. Give prob of picking 1 o and 1 q.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17\/((-425)\/(-50)))\/(3\/4*28))\/(-1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-1))\/(-3) - -5. Suppose -4*t + 2 = -g*t, -2*t = d - 14. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3512 is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269703*k**2 - 3*k - 32 + 4*k + 33.\nAnswer: 269703*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7362695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6277 + -6192. What is the remainder when 219 is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130\/2687 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011000001011000111110 (base 2) in base 4?\nAnswer: 23001120332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 8*b**2 - 68*b + 559. Let u be y(8). Solve u = 25*h + 115 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506*q**2 - 525*q**2 - 1573 + 1027*q**2.\nAnswer: -4*q**2 - 1573","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 15 = 5*m, 3*m - 3*v + 7 = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 8*r - 19*r + 4*r**4 + 2*r**4 wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 34.2, -3, -2\/3, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*n**4\/5 - 274*n**3\/5 + 436*n**2\/5 + 176*n\/5 = 0. Calculate n.\nAnswer: -1\/3, 0, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18398133 divided by 157249?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 14*y**2 - 2*y + 1020. Calculate z(0).\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -44 in descending order.\nAnswer: -3, -6, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59055427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 104*j + 106.\nAnswer: -2*(j - 53)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -185?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 969*z - 4848. Determine v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466116?\nAnswer: 2, 3, 7, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 19. Let p be o(0). Suppose -p = -4*b - 5*v - 1, 4 = 4*b - 2*v. Suppose -2*u = -2*x + 122 - 38, -x = -b*u - 46. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 + 5*p - 6. Let q(j) = j**2 - j. Let n(u) = -f(u) - 5*q(u). Is 6 a factor of n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9 + 1 - 4 - 83*y**2 + 7 + 4*y**2. Let w(r) = -987*r**2 - 63. What is -63*b(v) + 5*w(v)?\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10947 is divided by 933.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*d + 9110 - 9129, -3*l + 7 = 4*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-nine thirds of a week?\nAnswer: 3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.38 to 0 decimal places.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-300)*(-88)\/(-12) - 3.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-228)\/(-1995))\/(24\/420)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 - 22 = 0. Suppose 0*i + u = 5*i. Let j be (-1)\/(-6)*(3 - -3). Solve i*o - t + j = o, -t - 4 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:27 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-20) - -21 - 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206089 + -4.\nAnswer: -206093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.98837 + -0.01163. Sort 6\/7, n, -0.05, -25, -0.4.\nAnswer: -25, n, -0.4, -0.05, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112353*y**4 - 470565*y**2 wrt y?\nAnswer: 2696472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.93 and 176074.\nAnswer: -3333080.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -14. Suppose 4*r = 5*s + b, -2*r + 3*s + 13 + 2 = 0. What is the greatest common divisor of r and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 15*m + m + 32*m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - o - 8 = -2*q, -4*q = 4*o + 20. Let f be (66 - 65)\/(1*q). Let v = -106 - -421\/4. Which is the closest to 1? (a) f (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/48 - 28\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 96 = 2*u, 3*s + 25 = -u - 37. Let a = -27 - -12. Let f be ((-8)\/s)\/((-3)\/a). Solve 4*r - 6 = -f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3 + 64*h**2 - 5842*h - 5904 = 0?\nAnswer: -72, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v - 2. Let o = 5 + -5. Let r be (o - -7)\/(4\/4). Is 24 a factor of g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, and 2 v when four letters picked without replacement from gwqvgwgwgwvvgic?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2612538 and 342.\nAnswer: 2612538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + -2*sqrt(32) - (3*(-4 + sqrt(2) - sqrt(2))*-2)**2))*3 + 3.\nAnswer: -1701 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4953651 from 95034.\nAnswer: -4858617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6449*i - 6447*i - 50 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i - 16744 = -46*i. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = 0, 4*f + 5*l - 4855 = 15516. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7*m + 3*u = 212, 7*m - 371 = -4941*u + 4940*u for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -269600 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6*4\/(-72))\/(-1))\/((2125\/(-4950))\/(-85))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2112, -4184, -6254, -8322, -10388, -12452?\n\"Answer: n**2 - 2075*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:07 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(304) + (sqrt(304) + -2)*3 + sqrt(304) - sqrt(304))*5)**2*-6*-1.\nAnswer: -4412196 + 178560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from {l: 2, s: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-561)\/55 + 9)\/(3\/(-25)). Solve -5 = c*h - 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*l + l. Which is the nearest to -1\/2? (a) -4 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78951.95ug to kilograms.\nAnswer: 0.00007895195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*b - 10 = 0, -4*q + 0*q - 4*b = -12. Let d(y) = -2*y - 2 - q*y + 3*y. Let t be d(-15). What is the greatest common factor of 117 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:54 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11323727.\nAnswer: 11323727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7264 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**2 - 17*d - 4. Let b(m) = -5*m**2 - 8*m - 2. Let a(v) = v - 43 + 5 + 5. Let j be a(20). Give j*b(c) + 6*g(c).\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117132464 and 59.\nAnswer: 117132464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617014?\nAnswer: 2, 308507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 502853.1 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 + 2. Let p be a(-8). Let s(l) = 177*l + 3. What is the hundreds digit of s(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27506421 and 6768.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 12. Suppose -3*i - k = -5*n, n = 5*i - 8 - 2. What is the least common multiple of 2 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + -15 + -22 + 36 + (8 + -3 - -3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyu when three letters picked without replacement from {y: 1, u: 7, r: 5}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 255*u + 100. What is p(64)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117662, 235309, 352940, 470555, 588154?\nAnswer: 705737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127 by -80.\nAnswer: 127\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(6\/11))**(3\/22)*(l*l**(-3\/20))\/(l*l**3) assuming l is positive.\nAnswer: l**(-7473\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111001011 - 100000?\nAnswer: 1010110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4*y**4)\/((y*(y\/(y**(-3)\/y))\/y)\/(y\/y**(5\/3))))\/((((y\/(y*y**1\/y))\/y)\/(y\/y**(-4)))\/(y*(y**(-1)*y*y*y)\/y*y)**(-19\/2)) assuming y is positive.\nAnswer: y**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 13756414*a + 23198. Let b(v) = -11859*v - 20. What is -11599*b(m) - 10*u(m)?\nAnswer: -11599*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b0 (base 12) to base 13.\nAnswer: -1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/8 and -79\/433134?\nAnswer: 1732536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*o + 16*o - 17*o + (1 + 0 - 3)*(2 - 2 + 2*o) - 2*o - 5*o + 6*o)*(-2 - 2 + 5 - 4 + 4 - 1 + (-2 - 2 + 6)*(-4 + 0 + 3))*(-o + 2*o - 5*o)*(-3 + 1 + 1).\nAnswer: 384*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.14471303179 + 0.0911?\nAnswer: -4.05361303179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 7050978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014149 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6110, -4\/3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v - 1 - v**2 + 7\/3*v**3. Let n(t) = 36*t**2 - 11*t. Let k(g) = 11*m(g) - 2*n(g). Let o(w) = -2*w. Give k(o(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4.3. Let a be 1757\/(-5020) + (-3)\/(-5). Put a, 5, 4, g in descending order.\nAnswer: 5, 4, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 2*c**2 - c - 4. Give a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 - -537. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 450, 453, 456?\n\"Answer: 3*q + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/5 + 89*x**4\/5 + 301*x**3\/5 - 2321*x**2\/5 + 1932*x\/5 = 0.\nAnswer: -7, 0, 1, 3, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 14. Which is the nearest to 0? (a) 2 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(20) - (sqrt(1620) + 2 + sqrt(20))))**2 - sqrt(20)) + -1.\nAnswer: 62*sqrt(5) + 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let n(s) = 2*s. Let y(d) = -3*m(d) + n(d). Let q be y(-6). Suppose -2*c - 76 = -q*c. What is the greatest common factor of 57 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 + 21106*t\/9 - 853840\/3.\nAnswer: 2*(t - 120)*(t + 10673)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -68. Which is bigger: w or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 128721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(4)*-4))\/sqrt(8).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44454147 (base 8) to base 11\nAnswer: -5460859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110012121 (base 3) to base 12.\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 145, 153, 167, 187, 213?\n\"Answer: 3*i**2 - i + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -4 + -2 + 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 2 v when four letters picked without replacement from {i: 5, v: 2, x: 8}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 516845937 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48174436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-3 - -12) + (-255)\/25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/3 at least -11598151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {d: 3, v: 11, u: 3, m: 2}?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4 and -143\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*b - 3*m + 24, -b = -4*m - 3. Suppose 220 = b*c - 3*c. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.0183 - 0.0183. What is the closest to 1 in 3, -3, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8117258614 rounded to four dps?\nAnswer: -0.8117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 14*s + 9. Let q(d) = -12*d - 3. Let k be q(-1). Does 33 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*q + 3*f, 2*q - 5 = -2*q - 5*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 491895.88.\nAnswer: -98379.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69108 by 23036.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(6)\/sqrt(3) - sqrt(2)) + -3 - (-1*sqrt(16))\/sqrt(8)) + 3 + ((-1*sqrt(242) + sqrt(242))*3 - 1*(1 + sqrt(242))).\nAnswer: -9*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1018.476 tonnes to kilograms.\nAnswer: 1018476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.0764, 2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36250 and 89030?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -1 - 1. Suppose -2*v - g = -7. Solve 4*x + 11 - v = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11154162*a**3 - 777*a**2 - 1932 wrt a.\nAnswer: -66924972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 63.7. Put i, 3\/4, -6 in decreasing order.\nAnswer: 3\/4, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8264 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*q - 5 + 14, 4*q + f + 9 = 0. What is the remainder when 63 is divided by -11*(q + -4 + 4\/1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.51 - -3.49. Let t = j - 18.9192. Round t to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3647*t. Let l(c) = 118169*c**2. Calculate l(j(d)).\nAnswer: 1571719664921*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/5))\/y)**(-1\/30)*(y**(1\/9)\/y)**(5\/8) assuming y is positive.\nAnswer: y**(-122\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(60)\/(sqrt(12) - sqrt(300)).\nAnswer: -sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*j + 196*j - 20603 + 8063. Let v = -87 + 139. Solve v*h - 3 = j*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhx when three letters picked without replacement from {r: 4, h: 1, v: 1, e: 2, x: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1. Let i(a) = 2*a - 6. Determine -i(f) + 3*u(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1502264810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 378?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3913 + -3918. Let u = 2 - 2. Put u, t, 12 in decreasing order.\nAnswer: 12, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169381027 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2567 = -3*y - 2995, 5*y + 5568 = 3*r. Suppose -v + 5*d = -610, -2*d = -4*v + r + 571. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18623 - 112631\/6. Let u = 149 + k. Let g be (-2)\/(-2 + 19\/3). Sort u, g, -5, 0.2 in decreasing order.\nAnswer: 0.2, u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(-8)\/((q\/q**(-5))\/(q*q*((q\/(q\/q**(3\/8)))\/q)\/q)) assuming q is positive.\nAnswer: q**(-187\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-357)\/(-27) - (48\/(-27) + 2). Suppose -i*q + 11*q + 50 = 0. Solve -2*v - q = v + 5*o, 0 = 3*o + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/2))\/((v*v\/(v**(-4)*v))\/v))**(5\/17) assuming v is positive.\nAnswer: v**(-35\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15*a**2 + 7*a + 6. Let y(f) be the second derivative of 5*f**4\/12 + f**3\/3 + f**2 + 58*f. Give -2*p(s) + 7*y(s).\nAnswer: 5*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77)*2)*-1 + 2*1*sqrt(77))\/(6*(sqrt(1584) + sqrt(1584)*-3))*1)**2.\nAnswer: 7\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033050393 rounded to 7 decimal places?\nAnswer: -0.003305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 2, o: 5}. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*f**2 - 8*f**3 + 4*f**3 + 105*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21306151 divided by 5729.\nAnswer: -3719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h = -67*h - 30. Let c be 1 + (1 + 0 - -4). Calculate the highest common divisor of h and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 2, x: 7}. Give prob of sequence pee.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698266493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 5*a**2 - 6*a - 8. What is the remainder when 137 is divided by c(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 623*w + 624. Let c be v(1). Let f(z) = z**2 + 4*z - 5. Let j be f(-5). What is l in j*l + 1\/2*l**c - 1\/2*l**5 + l**2 - l**4 + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/60*16\/(-18) - 2842\/(-1740). Which is the smallest value? (a) -0.3 (b) w (c) 0.2 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61452 is divided by 30477.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (48 + 25 + -60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5385720 and 17503590.\nAnswer: 70014360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -90 and -93 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1 + n - 1 + 9. Give u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(10 + 21 + 18)*(-3 - 1 + 6)*(-6*i**2 + 22*i**2 + 9*i**2) to c*i**2 + b + q*i and give c.\nAnswer: 7350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77234, 77236, 77238, 77240, 77242, 77244?\nAnswer: 77246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -119453?\nAnswer: -119453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + -22. Let b = -76 - w. What is the nearest to 1 in b, 0, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(336\/(-66)) + (-10)\/(-5). Which is the fourth biggest value? (a) -3\/7 (b) -0.01 (c) v (d) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 374268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67232, 134441, 201650, 268859, 336068, 403277?\n\"Answer: 67209*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10444?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 3*q + 0*q)*(-7*q**3 + 0*q**3 + 0*q**3) in the form j*q + b*q**2 + w*q**3 + t + g*q**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 0 - -4) + -7 + -15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 7\/2 (c) -2\/5 (d) -6798 (e) 2\/209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8769 - 2987. What are the prime factors of h?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 8. Let z be k(-8). Suppose 5*i = n + 4*n - 150, z = -4*i - 4. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/792 and -25\/18.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**2 - 5*w + 4. Let x be a(1). Let r(n) = n**3 - 4*n**2 + n - 3. Calculate r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/119532288 and 11\/8040?\nAnswer: 597661440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h. Suppose h*m = -3*m. Suppose p + 4*p - 18 = -l, m = -5*l + 2*p + 63. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-2*sqrt(187))\/sqrt(11))**2 + -3) + -4 + 4 + 3.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1121144 - -1045?\nAnswer: -1120055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7774161?\nAnswer: 3, 23, 307, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30316023 and 179.\nAnswer: -30315844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -4\/7, 1\/7, 11.7, 8\/9?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, b: 2}. What is prob of picking 1 g and 1 b?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14586.399 months in millennia?\nAnswer: 1.21553325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1597888556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 221*v + 641. Give p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + -3 - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 8*h**2 + h - 29. Give l(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4601696 is divided by 970.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19756 is divided by 1376?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261705350*j**5 - 61*j + 254302 wrt j?\nAnswer: 5234107000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o + 0*o**2 + 3*o**2 - 7*o + (o - 3*o + 4*o)*(o + 2 - 2) in the form k + i*o + y*o**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-693)\/90 + (0 - -1). Let i = l + 13\/2. Let s be (-3)\/4 - (-2)\/(-8). Are i and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097462013 - 0.27814?\nAnswer: -0.375602013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwdwdwwww. Give prob of sequence dwww.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 499 + -483. Let i = 0 + 0.1. What is the closest to i in -1\/3, c, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145830.\nAnswer: 2, 3, 5, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukkkdddkd. What is prob of sequence dkdu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19073\/3 or 7?\nAnswer: 19073\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 1\/18*s**4 + 1\/945*s**7 - 1\/3*s**3 + 0*s - 8*s**2 - 1\/90*s**6 + 4\/135*s**5 + 0. Let l(y) = 0. Calculate y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 + 1024145?\nAnswer: 1023501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = 1048651 - 552. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -12, 2\/11, 2\/17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/75 and -31\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -28. Let p(g) = 0*g**3 + 2*g - g**3 + 12*g**2 - 9*g**2 - 4. Let x be p(j). Solve 10 + x = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 617697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14\/20*3\/((-6)\/(-20))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30357 bigger than -30357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s*t**2 + 10*s*t + 1233429*s - 33*t**2 + 1143*t wrt t.\nAnswer: -2*s*t + 10*s - 66*t + 1143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51136 + 2*p + 51136.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*d + 17*d + 58*d**2 + 58*d**2 + 26*d - 31*d**2 in the form i*d + g + o*d**2 and give o.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 4058027*b - 16467583132729\/2.\nAnswer: -(b - 4058027)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -41\/3. What is the fourth biggest value in n, 2\/5, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 12, l: 2, u: 3}. What is prob of picking 1 c and 1 a?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s + 5. Calculate t(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -26*j + 116. What is z(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38119935 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042*b + 3604*b + 18044 = 135*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 341 = -2143. Let u = -155 + a. What is the greatest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:02 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, -195, -437, -775, -1209, -1739?\n\"Answer: -48*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713855 is divided by 1334?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -415 + 415. Suppose 2*v - 30 = 5*l, 5*l = l - 4*v - 24. Let i(q) = q**2 + 6*q + 3. Let a be i(l). Solve -m = m + 3*g - 5, x = a*m + 4*g - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170 + 3317?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*a - 16 = 28, -5*k + 3*a = 28. Let f(t) = t**3 + 8*t**2 - 2*t - 12. Let h be f(k). Suppose h = p + p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-25)\/(225\/72).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18997027, -18997028, -18997033, -18997042, -18997055, -18997072?\n\"Answer: -2*j**2 + 5*j - 18997030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 32, 50, 44, -4?\n\"Answer: -3*b**3 + 15*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-8)*3\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12028 is divided by 2003?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 167*t**5\/20 - 43*t**4\/6 + 200*t. What is the third derivative of n(r) wrt r?\nAnswer: 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:04 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2455 + 2454.5. What is the nearest to -12 in 0, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2271*n. Let t(m) = 274*m**2 - m + 3. What is s(t(j))?\nAnswer: 622254*j**2 - 2271*j + 6813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1482 and 3078.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2124\/7 - -304. Which is the second smallest value? (a) 2\/13 (b) g (c) -0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + t**2 + 2*t - 2. Let k be l(1). Is -3 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 10) to base 3.\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002427447 rounded to 6 decimal places?\nAnswer: -0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4 - -6. Let h(w) = -3*w - 26. Let c = 115 - 125. Let g be h(c). What is the second biggest value in -0.2, m, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -458*r**4*v**2 + 9*r**2 - 9*r*v**2 + 8*r - 4*v wrt r?\nAnswer: -5496*r**2*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262290?\nAnswer: 2, 3, 5, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679750861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-20 - -88 - 16) - (4 - -2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163812 by 2482.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, 4 in descending order.\nAnswer: 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30480855?\nAnswer: 3, 5, 2032057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74c34 (base 14) to base 8.\nAnswer: 1047256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 6*u - 4. Calculate x(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*l - 143*l - 25 + 67*l as h + d*l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5668 = -414*n - 22*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhhfvhfhv. Give prob of sequence vf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 0*t + 2*t)*((26*t + 5*t + 49*t)*(0 + 1 + 0) + 2*t + 2*t - 2*t + 2 + 8*t - 2).\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3514000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7832951 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**5\/5 + 2*n**3\/3 + n. Solve p(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -11)*2\/6. Let s(l) = -l**2 + 4*l. Let y be s(w). Solve -7 + y = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190.7454 millennia to centuries.\nAnswer: 1907.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 933 by -11.\nAnswer: -933\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 - ((4 + -4 - 10) + 9)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248843572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 19*a. Let j(g) be the third derivative of -g**5\/30 + 205*g**4\/24 + 2925*g**2. Calculate u(j(w)).\nAnswer: -38*w**2 + 3895*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*r - 457 = 5*r, 3*l - 5*r - 329 = 0. What are the prime factors of l?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p. Suppose -2*x + 9 = -1. Suppose x*b - 83 = -8. Let h(z) = 15 + 3*z**2 - b. Determine w(h(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -245*254\/8890*249\/42*-2?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2391793423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(2*sqrt(10)) - (-5*sqrt(45)*-2 + sqrt(45) - sqrt(45)))\/(6*(-2*sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(90)\/sqrt(90)).\nAnswer: 57*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (sqrt(612) + (sqrt(612) - (1 + sqrt(612) + sqrt(612)*2)**2) - sqrt(612)) - (sqrt(612)*-2*3 - sqrt(612)).\nAnswer: -5509 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 12. Let b be a(5). Suppose b*w - 5*w = -6. Let n be (5 + -1)*1 + 2. Calculate the highest common divisor of n and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*p + h, 0 = -5*p + 26*h - 25*h + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131728 is divided by 336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -23. Let w(q) = -q**2 - 36*q + 14. Is w(g) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(13 - (-297)\/(-22)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30085 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v - 10 = 68*v. Let u(s) be the third derivative of 0*s**4 + 0*s - 2*s**v + 1\/20*s**5 + 0*s**3 + 0. Let k(z) = -z**2. What is u(k(a))?\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1186577*c**3 + 26*c - 1186578*c**3 + 8*c.\nAnswer: -c**3 + 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 (base 13) in base 2?\nAnswer: 101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3134*n - 3 + 1390*n + 3 - 43*n)*(-4*n + 0*n + 2*n).\nAnswer: -8962*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1816364492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*t - 10, -6*t = 2*z - t + 16. Let o be ((-1)\/3)\/(z\/6). Is o at most as big as -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3 - 1215*m**2 + 38796*m + 6922764 = 0?\nAnswer: -58, 114, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30460 - -30463. Solve -11 = -2*d + 7*d - 2*f, -q*f = -3*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.2948 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 - -256. Let r = s + -265\/3. Which is the closest to -1\/4? (a) -2 (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63\/8*a**2 + 21\/2*a + 5\/8*a**3 + 11\/2.\nAnswer: (a - 11)*(a - 2)*(5*a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -430 - -98?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/19320 and 19\/7380240?\nAnswer: 7380240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4 = 4*f, 166*f - 163*f + 2*n + 6 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -114.5 and -0.0585?\nAnswer: 114.4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**5 + 3374312*m**3 + 4284383*m**2.\nAnswer: 180*m**2 + 20245872","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0. Let f = 7471 + -52299\/7. What is the nearest to -0.1 in v, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -6, 5, 1, 99 in increasing order.\nAnswer: -6, 1, 2, 5, 10, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -65*v + 59*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v - 15. Let j be (11\/6)\/(v\/(-18)). Let k = j + 11. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 6*b + 6. Let a(g) = 1. Determine 6*a(p) - i(p).\nAnswer: -p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*u + 36 = 337*u, -2*w = -22*u + 184 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from pyypysyx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10708?\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 5*r**6\/42 + 22*r**5\/35 + r**4 + 8*r**3\/21 + 3. Solve w(t) = 0 for t.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 3*r - 8. Let w be q(-6). Calculate the lowest common multiple of 84\/15 + 4\/w and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4746.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**3 - 58*x**2 + 2*x - 3. Let r(a) = -8*a**3 - 59*a**2 + a - 2. What is -2*g(f) + 3*r(f)?\nAnswer: -8*f**3 - 61*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2. Suppose 5*d + 27 + 3 = 0. Let y = d + 8. Let v(m) = -4*m**2 + 5*m**2 + m**2 + 0*m**y. Calculate v(f(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62482, -62486, -62488, -62488?\nAnswer: -62486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**6\/360 + a**5\/40 + a**3 - 1. Let n(c) be the third derivative of r(c). Find the second derivative of n(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 3, p: 4}. Give prob of picking 3 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j + 49. Let m be ((-21)\/(-42))\/(((-4)\/(-40))\/1). Calculate p(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -69. Suppose 12*w - h = 11*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -144*r - 24. Let q be w(-6). What is the hundreds digit of (-5 - -3)\/(3\/q*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q**2 + 4*q - 3. Let x be u(3). What is the least common multiple of x\/(18\/(-4) + 3) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 10223303?\nAnswer: -10223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 755 = 5*f, -11*f = -2*b - 7*f + 1552. What is the highest common factor of 440 and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.522 - 0.522. Let w = -6 + 4. Let i = l + w. Which is greater: i or 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1.3, -887 in descending order.\nAnswer: -1\/3, -1.3, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*w - 32 = 0, w = -6*q + 4*q + 4. Let f be 18\/(2\/(-4)*-1). Calculate the greatest common factor of q and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 6*w**2 - 7*w - 10. Let b be r(-5). Suppose 5*x + 0*x = b. Let q = x - 1. Is q > -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - -5. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.496489 decades in years?\nAnswer: 84.96489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98726097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h = 36*h. Suppose h = 2*n + 23*n - 29350. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -0.2. Let r = p + 0.5. Let v = r + -0.1. What is v rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Suppose 5 = 5*i - g*u, -3*i + 4*u = -0 - 5. Let z = -23\/35 - -6\/7. Put i, -1\/2, z in decreasing order.\nAnswer: z, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 12:20 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825, 823, 821, 819, 817, 815?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 19307 = -2*i - 3*i, -3*m - 2*i - 19295 = 0. Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.13 - 242.13. Let t = 241.1 + l. Suppose 3 - 28 = -5*o. Which is the nearest to t? (a) -2\/3 (b) o (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(33*x + 56*x + 32*x) - 5*x + 11*x + 29*x as w + p*x and give p.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 6}. What is prob of picking 4 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2124 and 37\/294?\nAnswer: 104076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 - -0.39. Which is the third smallest value? (a) 4 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.5 + -18.1. Sort 1\/2, t, 0, 0.27 in ascending order.\nAnswer: 0, 0.27, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d - 1. Let f be c(-2). Suppose -11*g + f*g = -84. Let l(v) = -3*v - 21 + g. Let r(t) = 8*t**2. Calculate r(l(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 9. Let a be k(-8). Solve 3*y + 2*f - a = -0, -y + 7 = 4*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/6 + 4*g**2\/3 + 9890*g + 901416 = 0 for g.\nAnswer: -138, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-7 - 259\/(-42)). Let y(c) = 14*c - 9. Let d(u) = 7*u - 5. Let z(w) = 5*d(w) - 3*y(w). Let t(j) = 3*j - 1. Determine v*t(r) + 2*z(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1977089?\nAnswer: -1\/1977089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -23*b + 56. Let a(q) = -q**2 + 7*q + 4. Calculate the remainder when a(b) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 10*z**2 + z + 12. Suppose -v - 3*m - 55 = 3*v, 30 = -5*v + 4*m. Let a be o(v). Let i = -0.8 + -3.2. Sort i, -0.4, a in descending order.\nAnswer: a, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1493, -1333, -1095, -779?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(3240\/(-48))*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 2*o**3 - o**3 + (3*o**2 - 3*o**2 - o**2)*(3*o - 5*o + 4*o) + 4 - 2*o**3 - 4 + 0*o**3 - o**3 + 3*o**3 + o**3 + 0*o**3 + 2*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.2 (b) 2\/3 (c) 0.34 (d) 2 (e) 8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + (0 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*m + 12673 = -587278, 5 = -m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*j - 3 - 3, 5*o = 4*j + 8. Let f be o + (-3 - -1) - 305\/5. Let a = -58 - f. Solve -p + a*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*x**2 + 60*x**2 + x - x - 27*x**3.\nAnswer: -27*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -43*w - 3. Let u(k) = -k**2 - 50*k - 235. Determine u(x(h)).\nAnswer: -1849*h**2 + 1892*h - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 118*u - 61. Let l be x(58). Suppose 5*b - 2*d + 46 + 61 = 0, -72 = 4*b - 5*d. Let y = b + l. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*b + 1395 = -381*b. Calculate the highest common divisor of 248 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3073*s = 3072*s + 5*r + 18, 5*s - 2*r - 182 = 0. Solve 341*o = 322*o + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/(-5))\/((-3)\/(-2)). Suppose r*f = 4*f + 100. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 13*g = 0. Which is the third smallest value? (a) 0.3 (b) 3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*v - 30, -p = -3*v - 22 + 7. Let s = 15 - p. Suppose -3*q - 5*j = -5, 2*q - 2*j - 3*j - 20 = s. Solve 0 = 5*w + 18 - 3, 0 = -x + 3*w + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1538\/9 - -1544\/9. Let q = 4.626 + -0.026. Let l = q + -5. Sort a, l, -1, 0.4 in descending order.\nAnswer: a, 0.4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18185786?\nAnswer: 2, 9092893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let s(q) = -3*q. Let v(j) = -4*b(j) + 3*s(j). Let m(z) = 14*z**2. What is m(v(x))?\nAnswer: 126*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1323 and 4437585?\nAnswer: 217441665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1\/10)\/n)\/n)\/n*n)\/n)\/(n**8\/n)*n**(-1\/2)*(n*(n\/(n**7*n)*n)\/n)\/n assuming n is positive.\nAnswer: n**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + 1.03. Let x = 0.03 + -0.63. Let i = x - -0.2. Which is the biggest value? (a) q (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.47 to the nearest integer.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**4 - 880*r**3 + 36875*r**2 + 166500*r - 202500 = 0.\nAnswer: -5, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 13. Let a be n(9). Let h = a - 51. Suppose -5*z + 6 = -h*z. Sort -1, z, 0.1 in increasing order.\nAnswer: z, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 5*m**3 - 40*m**2 + 60*m.\nAnswer: 5*m*(m - 2)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3105 and -167\/30?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 10. Let z be a(11). Let l = 1 + 1. Solve -10 = -l*g - 3*p, -z = 5*g - 3*p - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**2*x**2 + 94*v**2*x + 4*v*x**2 + 26268*x**2 + 53*x wrt x.\nAnswer: 4*v**2 + 8*v + 52536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -44*g - 6. Let l be d(5). Let x = -61 + 55. What is the common denominator of 3\/x*l\/6 and -35\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30696, 30692, 30688, 30684, 30680, 30676?\nAnswer: 30672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1345 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6524 - 6146. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 886753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339343 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {y: 4, m: 1, r: 1, v: 4, w: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l**(-26)*l**(-27)*l\/l**(1\/6) assuming l is positive.\nAnswer: l**(-289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2562692*n. Let x(i) = -i. What is g(x(j))?\nAnswer: 2562692*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4 + 183*p - 388*p + 171*p - 8. Let w(u) = 17*u + 2. What is -13*w(c) - 6*x(c)?\nAnswer: -17*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*l + 6*l. What is the third derivative of -z**3 - 4*z**2 + 2*z**3 + l*z**4 - z**3 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 15. Suppose -2*l + 11 - m = 0. Suppose c - 17 = 4*z, -4*c + 10 - 2 = 4*z. Solve c = -l*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 + 5*m + 3. Let a = -57 + 14. What is the common denominator of s(6) and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/4 + 2*q**3 + q**2 - 176. Find the third derivative of w(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 4*v - 453. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12591262927 rounded to the nearest 100000?\nAnswer: 12591300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720097429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c)\/((c*c*c**6)\/c))\/((c*c*c*c**(-4)*c)\/c*c*c\/c**(-2\/5)) assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 104 = -2*r + 14, -89 = -4*p + r. Calculate the greatest common divisor of p and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**2 + 3 + 2 - 3. Let h(o) = 3*o. Let u(y) = 3*h(y) - 2*i(y). Let d(n) = -n. Determine d(u(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.31761 decades in millennia?\nAnswer: 0.5831761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228) + (sqrt(228)*-2 - sqrt(228))*6 + sqrt(228))\/(-5*(sqrt(12) - sqrt(12)*2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163802 + -163802.05. Let o = 0.3 + -0.1. Which is the fourth biggest value? (a) -2 (b) k (c) -1\/4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123387427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 28*f - 14*f)*(-1 + 1 - f**2 + f**2 - 3*f + 3*f + (-2*f - 2*f + 5*f)*(-f - f + 4*f) + 2*f + f**2 - 2*f).\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3949 is divided by 493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/7)*y)**(-17))**45*(y**0*y\/y**4)**(-1\/17) assuming y is positive.\nAnswer: y**(-208059\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*g**3*r + 154453*g**3 - r**3 - 2352*r**2 wrt r?\nAnswer: -21*g**3 - 3*r**2 - 4704*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3038938725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 526 * -58\nAnswer: -30508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 14*h**2 + 15*h - 15. Let f be r(13). Let l = f - 1. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 16. Let d be g*((-16865)\/(-20) + 3). Let m = -1874 + d. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28533515.\nAnswer: 5, 719, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000011110 - 101?\nAnswer: -10010000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 0.1, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1 + 2 - (9 - 2 - (17 + -1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12*(m\/m**(-2\/3)*m)\/m*(m**(-9)*m)\/m*(m*m*m\/(((m*m**(-6))\/m)\/m*m))\/m)**(4\/11) assuming m is positive.\nAnswer: m**(152\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 e, and 1 q when four letters picked without replacement from {e: 2, u: 3, c: 4, q: 10}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 > 1404\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 456*u**2 + 82?\nAnswer: 912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060762 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4) + (6 - 516\/72)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 1, c: 4, o: 3, y: 1, b: 1}. What is prob of sequence yjb?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2. Let t(o) be the second derivative of 0 + 175*o + 1\/6*o**3 + 19\/12*o**4 + 0*o**2. Calculate t(l(j)).\nAnswer: 304*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 6 = 3*y. Let g = -7 - y. Let a = 0 - g. Are -1 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let j(u) = -u**3 + 9*u**2 - 9*u - 4. Let h be j(8). Let m be 63\/h + 3\/12. Sort -3, x, m in ascending order.\nAnswer: m, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 m when three letters picked without replacement from aaammmirfi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9774, -78398, -264668, -627408, -1225442, -2117594?\n\"Answer: -9804*g**3 + g**2 + g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2095*v**2 - 4*v + 2. Let u(y) = -3*y**2 - 2*y + 1. Give s(z) - 2*u(z).\nAnswer: -2089*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -1 (c) -2\/209 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5434\/8735 - -2\/15723. What is the common denominator of 109\/240 and h?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 276?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-6*r**3 + 4*r**3 - 2*r**3).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/12 - 2*d**4\/3 - 58*d**2. Let p(i) = i. Determine a(p(l)).\nAnswer: 5*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 1767609.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q = -34*q. Let p be -2*2*2\/(-4). Suppose 3*r - o - 26 = o, -p*r - 2*o + 4 = q. Which is smaller: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1599\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose -2*b + 35 = w*b + t, 0 = -5*t - 25. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 32 = 2*b. Suppose -b*v + 42 = -46. Find the second derivative of -8*d + 4*d**3 + 44*d**2 - v*d**2 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(-1*(3*(sqrt(720) + -1 + sqrt(720)) - -4*1*sqrt(720)) + 1)*6)**2.\nAnswer: -1244160*sqrt(5) + 93332736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrarnnnrn. Give prob of picking 1 r and 2 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/(m*m*m*(m\/(((m\/m**(-1\/4))\/m)\/m*m))\/m))**(1\/30) assuming m is positive.\nAnswer: m**(-59\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1098, 2400, 3718, 5046, 6378, 7708, 9030, 10338?\nAnswer: 11626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 192.2 to 0 dps.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 - 7*o**2 + 5*o**2 - 13*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83565805 to the power of 1\/2, to the nearest integer?\nAnswer: 9141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01247837 and 0.2.\nAnswer: 0.21247837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, 169, -1\/12 in ascending order.\nAnswer: -1\/4, -1\/12, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 9*x - 14. Let q be n(-5). Suppose -2*b = -q*b + 5*k + 49, 4*b - k - 45 = 0. Solve 4 + b = 3*u - 3*p, 2*u + p - 7 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678*(-10 - (-40)\/3)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -2297 (b) -0.8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-52))\/((-8)\/544).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5082 - -7611. Does 133 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6)*0)\/((-32)\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141752a + 229?\nAnswer: -1417301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6750)\/1215 + 2*(-4)\/18. Let g be 5\/3 + (-3)\/(-9). Sort y, g, -3 in increasing order.\nAnswer: y, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -29. Let o = -11.9 - g. Let x = o + 2.9. Put -3\/7, x, -3 in descending order.\nAnswer: x, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = 2*u - 2, 5*u - t = 12. Suppose 30 = 4*w - 5*j, -2*w + j - 5*j + u = 0. Let i be (w + 1)*1\/2. Solve -i*c = c + 16, d - 5*c = 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13890)\/10*3)\/(-1). Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14123 (base 7) in base 4?\nAnswer: 323333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/15)\/(4\/30). Suppose 3*a - 5*j = -10, 3*a + 2*j - 6 = -2. Suppose 0 = -a*f + f - c. Calculate the highest common factor of 72 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -15916549.\nAnswer: -25\/15916549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -61*g + 65 + 84, -766 = -2*g - 2*g - t - 840 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.1 - 7. Let t = 0.4 - d. Let w be (6\/16)\/((-3)\/(-2)). What is the third smallest value in t, w, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*x - x - 149*x)*(0*x - 2*x + x + x**2).\nAnswer: -202*x**3 + 202*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19279128 is divided by 309.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-10)*20\/(-6). What is the second derivative of -2*g - g - 2*g**y + 2*g - g wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = -6. Suppose -3*g + h = -11. Calculate the greatest common divisor of 20 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h + 2 = 0. Let v = -88 - -54. Let r = -35 - v. Which is the nearest to r? (a) -5 (b) h (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 7 - 3. Let b be (-2)\/(-4)*2 + -2. Let p be 12\/(-42)*b\/2. Is v > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -153*b + 1224094 + 498533 - 297891. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 117. Suppose 5*j = 3*i - y + 5, 54 = 4*i + 2*j. Calculate the greatest common divisor of 117 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*k + 22, 3*w - 4*k + 0 = -4. Sort -1\/28, -3\/2, w in descending order.\nAnswer: -1\/28, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -7901a?\nAnswer: 7901a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1\/3, -0.0043, 7, -1 in descending order.\nAnswer: 7, -0.0043, -1\/3, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.5074 rounded to two decimal places?\nAnswer: -129.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 757989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 24*z**2 - 23*z + 47. Let w be k(-25). Let x be w\/(-1)*1\/3. Which is smaller: x or 3\/62?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 119059?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0438 + -4.0462. Let g = a - -0.09. Sort g, 0.1, 1 in descending order.\nAnswer: 1, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/34*(-184)\/(-46)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 22 + (0 - 2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*z = 132, 67*z = -2*v + 65*z + 142. What is the remainder when 365 is divided by v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**24\/x*x)*x**(-17)*x*x**(6\/7)\/(x\/x**(-5\/4)) assuming x is positive.\nAnswer: x**(-1159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 17*d. Let z be h(4). Is 3*438 + (z - 3\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**4\/4 - 4*f**3\/3 + f**2\/2 - 10*f - 524. Determine j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -132. Calculate the highest common divisor of 549 and l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -6365?\nAnswer: -6364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484160637 is divided by 6505?\nAnswer: 6497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.07708, 1, -1\/7, -156, -4?\nAnswer: 0.07708","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 8*w + (7*w + 14*w + 4*w)*(-2 + 0 - 1))*(2*w**2 - w**2 - 3*w**2).\nAnswer: 134*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -73. Let s(n) = 13*n + 1. Let j be s(3). Suppose 3*v = 3*l + 1 - j, 4*v - 60 = -p*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 16297532?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/27 - -3 - 43\/(-9). Sort -5, p, -10 in descending order.\nAnswer: p, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243872350 divided by -48774470\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/4*24\/(-36). Suppose c + 2*m = 37 + y, 0 = -5*c + 2*m + 220. Suppose -c = -2*b - 12. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2495, -5065, -7635, -10205, -12775, -15345?\nAnswer: -17915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 443268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(17) - (4 + sqrt(17) + 2)) + 3)*5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.09728 rounded to 1 decimal place?\nAnswer: 47.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 30. Suppose m = -o*h + 7 + 23, 3*h - 3*m - 18 = 0. Find the third derivative of -5*q**6 + 11*q**2 - 3*q**2 - 26*q**h wrt q.\nAnswer: -3720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0789948 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r. Let p(j) = 9*j + 6. Let s(l) = -n(l) - p(l). Determine s(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1900 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -d42?\nAnswer: d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9)*(-3)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 111101010011000101001 (base 2) to base 11\nAnswer: 1152116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/4735837?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 3*o - o + 1. Let m be n(6). Let l(w) = w**2 + 5*w - 5. What is l(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(833) - sqrt(833)) + (sqrt(153) + sqrt(153)*2 + sqrt(153))\/sqrt(9) + -3 + 1*-3*sqrt(17).\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.3 - -4. Let a = -18.9 - -19. What is the third biggest value in a, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 162394. Let c(y) = -4*y. What is w(c(l))?\nAnswer: -4*l - 162394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008106 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506.596 hours to nanoseconds.\nAnswer: 1823745600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15 - 5 = 0. Suppose -q - a = -27. Let t = -14 + q. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/231, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 11 = 1. Let j = 3 + i. Let n be 107 + (j - (3 + -6)). Calculate the greatest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14907, -29900, -44893, -59886, -74879, -89872?\n\"Answer: -14993*j + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54320404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497\/43749 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939806?\nAnswer: 2, 7, 67129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 70*f - 116. Let t be s(6). Let i = t + -225. What is the remainder when 392 is divided by i?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6, -2*q = u - 701 + 204. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 25 + 20 - 3*q - 7 - 32. Let w(c) = -13*c + 23. What is -2*w(i) + 9*z(i)?\nAnswer: -i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 6*i**2 - 3*i + 6. Let p be k(6). Let g be (-7)\/42 + (-38)\/p. Solve -2*w - g*t - 14 = 0, -w - 2*t = 2*t + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 8*s**2 - 10*s - 4. Suppose 8 - 53 = 5*d. Let b be w(d). Suppose 0 = b*f - 40. Solve a + f = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by 14?\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*l**2 - 238*l**2 + 16*l - 11*l - 5*l.\nAnswer: -174*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3, 4*b = 5*g + 523 - 126. What is the first derivative of -45 - 35*d + 54*d - b*d wrt d?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 - 7*n**2\/2 + 47*n + 37. What are the prime factors of v(19)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14644487 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/70 and 157\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/9 + 4\/(-18). Suppose 0 = 6*k - k. Let x = v - k. Calculate the remainder when x is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4355402*-86\nAnswer: 374564572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/20 - 2\/(-1)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-16)*(-7 - 1). Let n be (0 - 6)\/(4\/k). Let q(s) = -3 - 6*s - 2*s + n*s. What is q(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*q. Let a(l) = -l**3 + 4*l**2 + 2*l - 4. Let w be a(3). Let b = w + q. What is the remainder when 31 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, j: 1}. What is prob of sequence xn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + f - 1, 0 = 5*u + 6*f - 9*f - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*x - 8 = 0, 0*x + 4*x = -3*s + 8. Suppose m + s*m - 26 = 0. Suppose m = f - 5*y, y = 3*f + 7 - 29. What is the highest common divisor of 18 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2329496, -2329500, -2329504, -2329508, -2329512, -2329516?\n\"Answer: -4*w - 2329492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1610*i + 1643*i - 66 = 0. Let v(o) = 12*o**3 - 1. Let a be v(1). What is the third derivative of w**2 + 3*w**2 + 6*w**2 + a*w**5 - i*w**2 wrt w?\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 3948.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1316021203?\nAnswer: 1316021205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 5:30 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104\/19 or 4?\nAnswer: 104\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1832\/2301 - 32\/177. Factor 2\/13*d**4 + 8\/13*d**3 + 2\/13 + l*d + 12\/13*d**2.\nAnswer: 2*(d + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 622.1 + -696. Let w = -13.9 - z. Let u = 59.99999941 - w. Round u to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 648*h**3*l*w + 7*h**3*l + 63*h**3*w - 95*h**2*l*w + 2*h**2*l + 58*h**2*w - 4*h*l*w + 2*w wrt h.\nAnswer: 3888*l*w + 42*l + 378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -178*(21\/(-6) - -2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2605070033.\nAnswer: 2605070033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33210203213 - 11?\nAnswer: 33210203202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let g(s) = s**2 + 14*s + 48. Let d be g(-5). Suppose -2*y - d = 3*x + 3, y + 4*x + 13 = 0. Solve v + y + 0 = l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408) + 1*sqrt(1408) + (sqrt(22) + sqrt(1078))*5)\/(1*sqrt(88)\/(sqrt(128) - (sqrt(128) + -2*sqrt(128))))*2.\nAnswer: 896*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + 1519481*p**3\/3 - 577206387080*p**2\/3 + 577204867600*p\/3.\nAnswer: -p*(p - 759740)**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*3\/96*-44 + 3\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 28.3. Let k be 237\/168 - (-8)\/(-28). Let m = -5\/8 + k. Which is the closest to -2\/7? (a) m (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 5165*m**3 - 10326*m**3 + 3*m**2 + 5147*m**3 to h*m**2 + l*m**3 + q + v*m and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76691 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4417 is divided by 1094?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + 0*b - 2*b + 4*b - 3*b - 2*b + (-2 + 3 - 2)*(4*b - 4*b + 2*b) + 2*b + 2*b - 6*b + 2*b + b - b + 4 - b - 4 + (2*b - 3 + 3)*(7 - 2 - 3).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -907*c + 7. Let l = 9 - 15. Let x be v(l). Suppose -o - x = 8551. What is o rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -73\/3*x**3 - x**2 - 11*x + 38. What is the second derivative of y(q) wrt q?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185464207 - -613.\nAnswer: -185463594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, e: 5}. What is prob of picking 2 e and 2 j?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 39 - 85 + 210173*c**3.\nAnswer: 210173*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 17*z**2 + 7*z - 26. Let y(l) = -32*l**2 - 13*l + 51. What is -11*w(f) - 6*y(f)?\nAnswer: 5*f**2 + f - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*u - 7208 = -209*u. What is the greatest common divisor of u and 21454?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1377) + -3)**2 + 1 + (sqrt(1377) - -1*sqrt(1377)) + 0.\nAnswer: -18*sqrt(17) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffflflffffffffffff.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622544 at least as big as 1622451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7134, 8012, 10366, 14928, 22430?\nAnswer: 33604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51555960 by 17185320.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(18\/12)*(-1)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2573115 + 46034441\/18. Let t = 15642 + g. Calculate the common denominator of t and 26\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 35 + 5*n**2 - 35 + (n + 1 - 1)*(-2*n**2 + 0*n + 0*n).\nAnswer: n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -23. Suppose -r - l - 3*l = -36, -a = -2*l. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 21*u - 165 = 0. Suppose -u*m = -3*m. Solve m = s + 4*o - 11, 3*o - o = -5*s + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -0.5, 6, 0.26?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylk when three letters picked without replacement from cykylyyyyyyyycyyy.\nAnswer: 13\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -187, -439, -795, -1255, -1819?\n\"Answer: -52*i**2 + 8*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60 + -22 + (-10 - -1). Suppose -c*p - 19*p = -3792. Solve -k = -75 + p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1897652 + i - 1897652 - i + 219*i**3.\nAnswer: 219*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 0, 2*n - 4*u - 27 = -n. Suppose 0*h = h - n. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3150*v**6 + 1260*v**2 wrt v?\nAnswer: -378000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/10))**(-41)\/(y\/y**(-24)*y**20) assuming y is positive.\nAnswer: y**(-573\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 28. Let x be m(0). Is 1\/(-4) + (-4403)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (321\/(-63) + -2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183372763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180 (base 11) to base 9.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 4179*q**2 - 8349*q - 4173.\nAnswer: -3*(q + 1)**2*(q + 1391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120258 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 -0.4, -5\/4, 2\/9, 2, 23132 in decreasing order.\nAnswer: 23132, 2, 2\/9, -0.4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -5*w, 3*g + 5*w = 39 - 11. Let a(m) = m**3 - 3*m**2 - 8*m + 5. Calculate the remainder when a(5) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(833) + 5*(1*sqrt(833) - sqrt(833))**2 + sqrt(833) + sqrt(833) + 2.\nAnswer: 2 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*f + 54*f + 924 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-14 - -6) - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 293205\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/6 - v**2 + 4*v. Suppose 0*n + 9 = 3*n. Let r(t) = 0*t**3 + 2*t**2 - 3*t**2 - t**n + 1. Determine p(a) + 2*r(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/180 + 14*n**3 - 4*n**2 + 10*n. Let t(p) be the first derivative of u(p). Let x(o) = 117*o. What is t(x(r))?\nAnswer: -27378*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -4*1*sqrt(396) - sqrt(396) - (2*sqrt(396) + 5) - ((0 + sqrt(396))*-2 + (sqrt(396) + -3)*1))**2 + 3.\nAnswer: 120*sqrt(11) + 9907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drppprp. What is prob of sequence rppp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11698*r + 1587149 - 369289 = 7495*r - 13195*r for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 + x + 1. Let b be g(3). Let d be (3\/b)\/((-6)\/(-16)). Solve d*l = -0*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {r: 1, c: 4, i: 2, b: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 3 - 6)*(u - 5*u + 2*u) + 3*u - 9*u + 5*u)*(-2 + 5 - 4) to i*u + y and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*k + 1 + 5 = 0, -3*u - k = -52. What is the highest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928792475.\nAnswer: 5, 7, 587, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246942 - 247319 - 39*l**2 + 494261 - 735*l**2.\nAnswer: -774*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2729200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*t - 92*t - 66*t + 42788 = -545*t for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifidfdeeefiifffeffe. Give prob of picking 2 i.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 + 335. Suppose 11*q - 6*q = p. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69187653 + 33953653. What is x rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = -3*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*c + 54*c + 261 = -561. Let f(s) = 8*s**2 - 44*s - 18. Calculate f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + 209*g - 75154 = 52986. What are the prime factors of g?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 - c**2 - 2*c - 1. Let h be 0 + 0 + (-21 - -20). Calculate u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 16*t - 16. Let y(f) = 3795*f - 7547*f - f**2 - 5 + 3747*f. Let n(z) = 2*z**2 - 4*z. Let w be n(4). Determine w*y(o) - 5*g(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2729 is divided by 170.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**3*w**3 + u**3 + 151*u**2*w**3 + u**2 + 4*u + 2*w**3 - 23*w**2 wrt w?\nAnswer: 6*u**3 + 906*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + (1*sqrt(102)*-3)\/sqrt(6))*-1)**2*-4 + -1.\nAnswer: -649 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 233*c**4\/12 - 757*c**2\/2 + 886*c. Differentiate u(h) with respect to h.\nAnswer: 466*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*z**4 + 29*z**4 + 23*z**4 + (2*z**2 + 2*z**3 - 2*z**2)*(-z - 4*z + 3*z) - 2*z**2 + 4*z**2 + z**4 - z**2.\nAnswer: 72*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4*r = 14 + 6, v + 1 = r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*u - 6*n, 3*u + 2*n - 4*n = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, x: 1, s: 3, r: 2, h: 1}. Give prob of picking 1 v and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -106624 divided by 13328?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 3. Calculate l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93.2 + 107. Let r = -0.32 - 13.68. Let c = m + r. What is the closest to 0 in c, 3, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**3 - 634340*u**2 - 634345*u = 0.\nAnswer: -1, 0, 126869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from {p: 1, v: 7, c: 5, b: 1, h: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 871492907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1222 + 2167. What is the highest common divisor of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -30, -24, -16, -6, 6, 20?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -13 (c) -2\/33 (d) -0.4 (e) -3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20736, -20737, -20738, -20739, -20740?\n\"Answer: -k - 20735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/5 + 32*w**4\/5 + 8*w**3 - 100*w**2 - 42*w\/5 + 468\/5 = 0. Calculate w.\nAnswer: -13, -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121718999 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 3*n - 1. Let v be o(3). Suppose 24 - 6 = 6*q. Suppose 0 = -q*s + v + 1. Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14972, 14672, 14172, 13472, 12572, 11472?\nAnswer: 10172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 997 - 1595. Let j = 416 - v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*m - 2 - 4, -q = -4*m + 3. Let t be (-126)\/(-12)*(-14)\/q. Let w = -45 + t. Solve f = -0*f - w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5300 divided by -1060?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 588 - 327. Suppose 4*m + 243 + q = 0. Let h = m - -131. Solve 0 = -8*d + h*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 80*k**2 - 2*k + 1. Suppose m - 2*m = -1. Suppose -3*s = -0*s - 81. Calculate the remainder when d(m) is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11130 is divided by 1112?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1+361217932495499\nAnswer: 361217932495498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyayyyyaya. Give prob of picking 1 a and 3 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + p = 4, 0 = 4*q - p - 2*p - 20. Suppose x = -q*x. Sort x, -4, 5 in ascending order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-1\/4)*o)*o))**26\/(((o\/(o*o\/(o**(-1\/3)*o)))\/o)\/o)**(-45) assuming o is positive.\nAnswer: o**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2187 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a. Suppose a*f + 5*f = 0. Let r = 174 - 169. Solve -h + f*h = -r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -55. Suppose -m - y*c = 1755 + 2224, 0 = m + 3*c + 3969. Let r = m - -8054. What is r rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from {x: 2, u: 3, f: 1, w: 1, v: 3, d: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 28 + -290 + 343.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3734676843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 378.4845kg?\nAnswer: 0.3784845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 86.96339ng?\nAnswer: 0.00000008696339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00425020957 rounded to five dps?\nAnswer: 0.00425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2235866*p**2 + 1947708*p.\nAnswer: -4471732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15090\/(-2790) - (-176)\/(-682)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 11*p**2 - 22*p - 140. Let s(z) = -z**3 + 2*z**2 + 4*z + 28. What is -6*j(r) - 33*s(r)?\nAnswer: 3*r**3 - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 5*y + 39. Let i be o(-9). Suppose 4*s = -4*a, -s + 6 = -i*s - 5*a. Solve 2*n = -4*w + 2, 0 = -3*n + s*w - 0*w + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q. Let g(x) = 24*x. Let h(r) = 3*g(r) - 5*y(r). Let f be h(-1). Let b = 17 + f. Solve b = -5*s + 5*m - 0, -6 = s + 4*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -24?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 7. Calculate the least common multiple of x and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 4*h. Let j(y) = -22*y**2 + 35*y + 17. Let f(k) = -j(k) - 8*n(k). Determine f(-4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = -5*t. Which is bigger: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:24 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-3)\/1)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9183 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/5 (c) -1\/3 (d) -36 (e) -14172 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/6)\/((1*2\/8)\/((-201)\/201))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -953 - -969. What is the highest common divisor of q and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 17*f + 45 - 4.\nAnswer: -17*f + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/(24\/1512*-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*1*(-1080)\/(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42970 - -9102. Is 184 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + (sqrt(500) - (sqrt(500) - (sqrt(500) + 1 + -4)) - sqrt(500))*-3 + -5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)*l)**(-12))**6*(l**0)**11\/((l**(-2\/5)*l)\/(((l\/(l*l**(-2\/11)))\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-5028\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1389304820 to the nearest integer?\nAnswer: 37273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**18*o**(1\/7) assuming o is positive.\nAnswer: o**(134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*w**3 - 37*w**3 - 2*w**4 + 22*w**3 + (-85*w - 14*w + 21*w)*(-2*w**3 + w**3 + 0*w**3) to the form o + z*w**2 + l*w + g*w**3 + s*w**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 3*g**2 - 4*g + 3. Let c be o(4). Let f(i) = i - c - i + 2*i - i. What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 5*d. Let m be a(-4). Sort m, -4, -2.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + 2*(sqrt(3) + 4) - (1*sqrt(243))**2).\nAnswer: -239 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*n + 476 = 4*n, 20 = -5*n. Let w = -34 + t. Let y be 14\/w - 1\/5. Which is the smallest value? (a) y (b) 2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546571 is divided by 299.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 47*s**2 + 48*s - 9. Let b be w(48). Put -1, b, -14 in increasing order.\nAnswer: -14, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42935 is divided by 42899?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2009301 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -2*d + 4*h, -2*d = h - 465 + 104. Suppose 8*l - 756 = -d. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1 + 1 + -1). Suppose 2*i = -o*i + 24. What is the smallest common multiple of 14 and (-4)\/i - (-13)\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(66)\/sqrt(6))*-2 + sqrt(11) + (sqrt(110) + sqrt(110)*-1)\/sqrt(10) + 1)**2*-6.\nAnswer: -72 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*z + 1 + 8, -5*z - x = -22. Solve z*q - 2 = 2*s, q + 12 = -s + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**2 - 29*b - 4. Let w be 110\/66*(3 - (-12)\/(-20)). What is the remainder when 669 is divided by d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1053 and -0.0404.\nAnswer: 42.5412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1025578210 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 123 = 42*r - 19*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/5 or -7\/12?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 78489.49 meters?\nAnswer: 78.48949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 18. Let y = -8 - -10. Suppose 3*d - 41 = -y. Let c be l(d). Calculate the greatest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 + z + 2. Let y be u(-4). Suppose -52 = 26*a - y*a. Calculate the remainder when 0 - 23*-1 - 0 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3312 divide 2226214993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:52 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1348070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78804873487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 5, j: 1, k: 1}. What is prob of sequence kiz?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -903000 to the nearest ten thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1056231*s - 2112451*s + 1056223*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -59 (b) 5 (c) -0.13 (d) -1.5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*w = -8, 2*d = 7*d - 3*w - 12. Suppose 6*c = -d + 18. Let h(r) = r**2 - 5*r + 10. Let m be h(c). What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342071 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7644 and 6448260?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + n + 8. Calculate x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrc when three letters picked without replacement from {a: 2, c: 10, j: 3, r: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320203042 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 125 = -0*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 403635295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(80) - sqrt(80)*1)*-1)\/(sqrt(90)\/sqrt(144))*-5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) 12\/31 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -12*o + g + 13161, -5*o - 3*g + 16430 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b. Let p(j) = 5*j**2 + 16 - 3 - 4 - 6*j**2 - 3. What is r(p(g))?\nAnswer: 2*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, m: 3}. Give prob of picking 2 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -56344.1 and 1.\nAnswer: -56343.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 22*p - 1. Let u = -72 - -56. Let x be i(u). What is the highest common divisor of x and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/139 and -145\/18.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s**3 - 2*s**2 + 3*s - 2. Let c be q(1). Let y = c - 55. Let i = 31 - y. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183 + 187.05. Let p = -4.1 + l. Sort 0.2, 2\/7, p.\nAnswer: p, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -379766\nAnswer: -379766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 + 4*d + 5. Let w(f) = -f**2 - 1. Determine v(u) + 6*w(u).\nAnswer: -u**2 + 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Suppose -2 = -z + 2. Let p(k) = k**2 + 1. Let m(h) = -8*h**2 + 8*h**2 - 2 - 2*h**2. Determine s*m(a) + z*p(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*w - 34621 = -34608, -2*w - 11 = -3*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -27. Suppose 0 = -4*v + h - 5*h + 3992, q*h = 20. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - f = f + 26, 4*n + 4*f + 28 = 0. Let m be 0 + (n + 0 - (-202 + -3)). Suppose 3*i = q - 211, 0 = -q - i - i + m. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7987 take away -0.1?\nAnswer: 3.8987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 8.4. Let f = -1 - g. Let t = -3 + 4. Sort 4, t, f.\nAnswer: f, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-8) + 9 + -1*6. What is the second smallest value in 4, 3\/2, y, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 39*s + 39*s - 10*s**2 to the form t*s**2 + x*s**3 + l + b*s and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -555 divided by -22\nAnswer: 555\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let t(s) = 82*s**2 + 141*s**2 - 37*s**2 + 75*s**2. Give h(t(d)).\nAnswer: -261*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - (144 + -47 - 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0847, -4, -5\/2 in ascending order.\nAnswer: -4, -5\/2, 0.0847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 53. Let l(t) = -261707*t - 3. Calculate l(w(q)).\nAnswer: 261707*q + 13870468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 24710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 225 - 111. Calculate the least common multiple of 14 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 1040 = -4*f. Let j = f + -393. Let p be j\/273 - 1\/(-3). Which is the closest to 0? (a) 0.6 (b) -1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 203*l**2 + 5334*l - 67. Calculate h(172).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 25*a = 23*a - 1, -3*a = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + b + 3. Let d be m(-3). Suppose -34*g - 352 = -d*g. What is the greatest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227650347060.00002898 + -227650345013. Let x = 2047 - u. What is x rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Suppose z + 18 = 3*q - 3*z, 2*z = 0. Let w(m) = -q*m**2 + 4*m - 4*m + m**2. Determine f(w(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/56 and (45\/21 - 3)\/(200\/1085)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110.13 + -9.13. Which is the nearest to 0.1? (a) 4\/7 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(91) + sqrt(91)*-4)\/sqrt(7))*-5.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2\/5, -5, -4, 2\/11 in increasing order.\nAnswer: -5, -4, -1\/7, 2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let i be (-6)\/b + 9 + 2. Suppose 2*h - i = h. What is the lowest common multiple of 4 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452*l**4 - 29048*l**3 - 1292*l**2 + 29048*l - 160 = 0.\nAnswer: -1, 2\/363, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftlppflb. What is prob of picking 1 b, 1 p, and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4753.75 minus -9.563?\nAnswer: 4763.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -14.94. Let t = 2.94 + -3. Let j = t + q. Which is the second smallest value? (a) 5 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 greater than 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(6\/7)*y*y)\/y*y)*y*y*y**(1\/17)\/y)**(-17) assuming y is positive.\nAnswer: y**(214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 7 = -4*w + 6*p, -11 = -2*w - 5*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = 0, 0 = -w - w + 2*k + 108. Suppose 56 = 4*f - 40. Let a = w - f. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 71 + 6. Suppose 317 = -l*a + 1941. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:10 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.924994 to two decimal places.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -10333406?\nAnswer: -10333404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/39, -4, -2\/13?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -153793902\nAnswer: 1\/51264634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldhh when four letters picked without replacement from {d: 11, h: 7, l: 2}.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*v + 32 = 348*v - 4*l, -5*v - 40 = 5*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*w**2 + f**3*w - 2*f**3 + 22*f**2*w - 409*f*w**2 + 2*w**2 wrt w?\nAnswer: 4*f**3 - 818*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2046, 2044, 2042, 2040?\n\"Answer: -2*h + 2048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -22, -17, 10, 65, 154, 283?\n\"Answer: u**3 + 2*u**2 - 24*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = -28. Suppose -o*z = 5*i - 1 - 19, -5*i = z - 12. Factor -6 + 16*g**2 - 5*g - g - 13*g**z - 3.\nAnswer: 3*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233307418 to the power of 1\/2, to the nearest integer?\nAnswer: 15274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/6 + 53*n**3\/3 - 483*n**2\/2 + 120*n + 1350 = 0.\nAnswer: -2, 3, 15, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -502*k**2 + 0*k**3 - 15*k**4 + 2*k**3 + 499*k**2 to b*k**2 + f*k + j + t*k**3 + u*k**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -1)\/(16\/(-2144))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518.4725 years to millennia.\nAnswer: 0.5184725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/16 - (-9)\/(-24). Solve p*l - 3*l + 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0 - 1\/42*l**4 - 1\/210*l**5 - 1\/21*l**3 - 6*l**2 + 0*l. Suppose f(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d - 13*d. Solve -5*t = -j - 23, d*j = -2*j + 5*t - 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30600 divided by -5100.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 513200*k - 78.\nAnswer: 513200*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-30) - (-81)\/15. Suppose -54 = -2*q + f, -l*q - 4*f = -q - 120. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2359108 (base 10) to base 8\nAnswer: 10777504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -9*u + 15. Sort u, 6, -1.\nAnswer: u, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - 4*r**4 + 11*r**5 + (-2*r**2 + r**2 + 0*r**2)*(3*r**3 - 2*r**3 + r**3) - 2*r**5 + 3*r**5 - 3*r**5 + 3*r**5 - 5*r**5 + r**5.\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101101939556030 + -0.5.\nAnswer: 101101939556029.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3042*i**2 - 2445760*i + 6428. Give l(-804).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89777155 to the nearest integer?\nAnswer: 9475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 109*f - 282, 5*v + 2670 = -3*f + 2836 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/(-72)) + 40*1071\/4760?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 4*(sqrt(17) + sqrt(17) + -2))*-5.\nAnswer: -45*sqrt(17) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and 7884452633.\nAnswer: 7884452632.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16 - 5 + 16*w**3 - 33*w**3 wrt w?\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -141? (a) 1.4 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/4*(-792)\/(-1386)*(-14)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*a + 48, 5*a = -4*j + 2*j. Let s(n) = n**2 + 9*n - 1. What is the remainder when 43 is divided by s(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*t = -42*t - 322. What is the remainder when t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*3\/21 + (-3162)\/1547. Is -2 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 26*y + 2. Let z be g(12). Let h = z + -266. Is -13\/19 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 225 + 16?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -970177 + 1465976. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*b - 16 = 0, -2*j - 22 = 6*b - 2*b. Let f be -2 - 104 - 2 - 0. Is f\/45*10\/j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/29015 and -22\/29015.\nAnswer: 29015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -32*b - 23. Let x(r) = -11*r - 8. Let v(a) = -4*g(a) + 11*x(a). Let t(w) = w + 1. Give -5*t(h) + v(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(-28) - (-321)\/6. Suppose 4*n - 1921 = b. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = 3*i - 48. Solve -6 = 3*d, 5 = i*f + 5*d + 21 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*t**2 + 452\/11 - 222\/11*t.\nAnswer: -2*(t - 2)*(t + 113)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44213, -44952, -45693, -46436, -47181, -47928, -48677?\nAnswer: -49428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27666)\/(-27030) - (-2 - -3)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 68 - 2 - 132 + 8*i + 202.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8442224.\nAnswer: 2, 7, 75377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -449 + 450. Let d be ((-4)\/(-5)*-10)\/(l\/(-4)). What is the greatest common divisor of d and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67571561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7374 and -4.\nAnswer: 29496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114, -270, -426, -582, -738, -894?\n\"Answer: -156*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -102.\nAnswer: 101.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 160*a + 13. Determine v(2).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 12) in base 11?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2\/8 - 1533*u\/8 - 623493\/4 = 0.\nAnswer: -438, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + 179. Let r = -2.8 - 0.2. Let d = r + 3. Which is the nearest to d? (a) 4 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, 83, -26, -92\/11?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 7*s**6\/40 + 3080*s**3\/3 + 2*s**2 - 1431*s. Differentiate d(f) with respect to f.\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3200 and 896?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 4153 = 10*p. Let a(g) = g**3 + 7*g**2 - 8*g - 9. Let u be a(-8). List the prime factors of p\/(3*6\/u).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 11. Let k be r(-5). Suppose 0 = 2*t - 2*v - k, -5*v = t - 2*v - 7. Which is the nearest to 0? (a) -1\/3 (b) t (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2405497115 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 423.944.\nAnswer: 424.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1898745)\/(-17) + (-358)\/(-3043) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) 4 (c) -0.03 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3294 - 1834. What is the greatest common factor of j and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3931 - 163?\nAnswer: 3768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 764\/7 (b) 4.23 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 12466*t + 12462*t = 1, -5*t + 7 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 18*j + 4*j. Put 39, -11, j in descending order.\nAnswer: 39, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*b + 11 + 23, -4*y + 47 = -b. What is the greatest common divisor of y and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 49*k + 65245 - 65245 to l*k**2 + p + b*k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/991857691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t + 30*t + 7*t**2 - 53*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-264)\/(-45) - 6\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = -30*f - 98. Let u(n) = n**3 - 13*n**2 + 10*n + 26. What is u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795176577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1.9 (c) -2.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhpfhpphrsrsph. What is prob of picking 1 p and 1 s?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6591b + -40?\nAnswer: -6595b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 81*o + 1189 - 1189.\nAnswer: -93*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*n + 198240 = -125*n. Round n to the nearest 100.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r + 9. Let p(y) = -5*y - 3*y**2 + 2*y**2 + 2*y**2. Let s be p(5). Calculate v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66 * 1.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwxc when four letters picked without replacement from {w: 2, c: 3, x: 5, i: 7}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlmwllfxmxmflhh. Give prob of sequence ffxx.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314205 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 235178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s - 21*s - 288 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 9}. What is prob of sequence efe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 0 - 9) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5307 is divided by 687?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/2 (b) -0.4 (c) -1854 (d) 1\/4 (e) -28\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3016 + 21644?\nAnswer: 24662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3989)\/((-3)\/(-15)). Let l = -965403\/51857 - c. Let z = l - -3023\/117. Calculate the common denominator of z and 20\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/68 and -3\/10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.1. Let c = -0.02 - 0.48. What is the third smallest value in -0.03, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443475 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let o(k) = 25 + 71*k**2 + 14 - 39. Give o(x(l)).\nAnswer: 71*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/g*g**(-2)*(g\/(g\/(g*g**(1\/4))*g))\/g**(-3))**(2\/7) assuming g is positive.\nAnswer: g**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -62.185202.\nAnswer: -248.740808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmj when three letters picked without replacement from ijmj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-10) - (-36)\/(-60). Let f = 9958 - 59609\/6. Find the common denominator of f and (-4)\/((m - 6)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 35\/2, -5, -1\/9, 3, -1\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 0 (c) -2\/25 (d) -16\/65 (e) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-42) - (-2)\/(-7). Let o = -280291.3 + 280291. Let n = -0.6 - 1. Put i, 3, o, n in descending order.\nAnswer: 3, o, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4294*g**3 + 5 + 1 - 5 + 8 + 10*g - 13*g**2. Let c be p(17). Round c to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, 0.013, 2, -1, 46?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 20 + 0 = -5*i, -3*i = -k + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and (-57)\/(((-6)\/14)\/(8\/14))?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.22 + -8.38. Let n = -6.6 - j. Let a = -66.0000154 + n. Round a to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let z be (1 - (-2 - -2)) + -9. Let y = 13 + z. Solve -2*l - b = y, 5*v = 5*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4245 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) 3\/5 (b) 1\/4 (c) 4\/21 (d) -0.4 (e) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -5 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = -5*w + 3, 3*g = -w + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -38.92?\nAnswer: -19.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8717309*d**3 + 153*d**2 - 2*d - 204?\nAnswer: 52303854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201122 + 0?\nAnswer: -1201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 29. Let j be (-3 + v)*(0 - -1). Suppose -j*i + 5*k = -1294, 2*k = -5*i + 3694 - 459. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*w - 163 = 0, 2*i = 3*i - 3*w + 63. Let o = i - -398\/7. Suppose -6 + 1 = 5*h. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124417 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5143*n**5 + 1584*n?\nAnswer: -102860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = i + 26*d - 1, 4*d + 5 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 u when four letters picked without replacement from {c: 10, u: 4}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77854 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2906107053956 + 1.11\nAnswer: 2906107053957.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6105, -13008, -19927, -26862, -33813, -40780?\n\"Answer: -8*b**2 - 6879*b + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -157 (base 16) to base 15\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 963 * -42.17\nAnswer: -40609.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -841 or -794?\nAnswer: -841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.904 - -39. Let o = l + 0.004. Suppose 3*c + 0*s + 149 = -5*s, 5*s + 207 = -4*c. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (620 + 960 + 694 + 533)*(5 + 2 - 6)*(0*p**4 - p**4 + 3*p**4).\nAnswer: 5614*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwaaaawaaaaa. What is prob of sequence aaw?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 17*h**2 + 14*h - 33. Let u(c) = c**2 - 2*c - 19. Let l be u(7). Let f be n(l). Let t = f - -167. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 6*b**3 - 3*b**3 - 8 - 5*b**3 + b**4 as n + v*b**4 + h*b**3 + m*b**2 + t*b and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 10*i**2 - 13*i + 13. Let r be u(8). Which is greater: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(5\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*-1)\/sqrt(9) - sqrt(672)\/sqrt(6)) + ((2*sqrt(42) - sqrt(42))\/sqrt(6))**2 + 5.\nAnswer: -5*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -535 + 305. Let c be (6\/8)\/(t\/(-2392)). Which is greater: c or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*t = -8, 3*a - 8 = -23*t + 16*t for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6*n = 0. Let s = 5 + -2. Suppose n = -2*t + 4, 2*c + s*t - 6*t - 2 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/31)*u*u\/((u**(1\/16)*u)\/u))\/(u*u*((u\/(u\/(u**(-3)*u*u)))\/u)\/u*u**7))**4)**40 assuming u is positive.\nAnswer: u**(-20470\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -194979?\nAnswer: 2\/194979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8 + 18*k**2 - 8 + 0. Let v be (15\/5)\/((-12)\/(-8)). Let n(i) = -3 + 3 + 0*i - v*i. Give f(n(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = -u - 102, -3*u = -f + 104. Let z = -100 + f. Suppose -2*v - z = -5*d + 11, 5*v - 5 = -5*d. Solve -c + d = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 186025, 11, -2\/5 in increasing order.\nAnswer: -2\/5, 11, 186025","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -280, -278, -276?\n\"Answer: 2*g - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, -4, 18, 3 in decreasing order.\nAnswer: 18, 3, -4, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/18860 and 15\/2338?\nAnswer: 22047340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*189\/(-36)*(-2)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2852, 5649, 8478, 11357, 14304?\nAnswer: 17337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 0) + -6 + 4. Let 0 - 1\/4*m**3 + 0*m + 1\/4*m**n = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + n - 127 = -10*i, 4*n = 4*i + 92. Let x be ((-12)\/(-14))\/(i\/(-91)). Solve 0 = x*y - 2*j + 3*j - 1, 0 = 2*j - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(40)\/sqrt(2))\/(sqrt(12)\/sqrt(3)*-6) - (sqrt(5) - sqrt(30)\/(-5*sqrt(6)) - (3 + sqrt(5))*1)**2.\nAnswer: -46\/5 + 8*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*v + 1908 = -248*v. Let p = v - -479. Calculate the lowest common multiple of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 93*v + 1472 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660972 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: Calculate -77 divided by -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -26*z + 58. Let v be o(2). Differentiate 81*b**2 + 104 + 6*b + 85 - 126 - v*b wrt b.\nAnswer: 162*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 104. Let v be w(30). Solve -20*m + v*m = 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 14*j - 3*g + 15 = 0, 2*j = 4*g - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52934 is divided by 17634.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/24 - 7\/8. Let p = -775.04 - -775. Is p > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - w, -3*n = -8*n - w + 22. Suppose n*l - 5*t = 135, -66 = -2*l + 4*t + t. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-10) + (-12)\/(-60). Suppose 23 - 4 = w - 2*c, 5*w - 147 = -l*c. Solve -5*g - w = 3*q, -2*g - 18 = 6*q - 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(100\/(-104)) - 1\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(90) + 1*sqrt(90)) - sqrt(90))\/sqrt(2))**2.\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/11)*h*h)\/h*h\/h**6)\/(h**(-2\/3)\/h)**(-44)*((h*h**(2\/3))**(-16\/7))**(-30) assuming h is positive.\nAnswer: h**(8662\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.14 (b) -53 (c) -1\/5 (d) -2\/9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18690 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21080 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + 136)*2786\/(-35)*-2?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/21*(-1)\/(-2). Which is the nearest to y? (a) -0.3 (b) -2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4738255 is divided by 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 564\/(-8) + (-2)\/(-4). Let g = -49 - n. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 2, y: 1, l: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**3 + 312*f**2 - 7358 wrt f?\nAnswer: 15*f**2 + 624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11675, 23246, 34819, 46394, 57971, 69550, 81131?\nAnswer: 92714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 9 = 31. Solve 2*j + c*v = -j - 4, -j = 2*v + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 122122201200101?\nAnswer: 122122201200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 b when four letters picked without replacement from obobobo.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 26358 in descending order.\nAnswer: 26358, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-1 - (-1)\/2). Suppose 2*c = 6 - k. Suppose 0*l - c*l = 0. Is 1\/19 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90683 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -10d5999?\nAnswer: 10d5993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyjjyj. Give prob of sequence yyjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 60 = 14*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/7? (a) -5 (b) -1 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(2 + -2 + -4). Let t = -18 - -16. Let m(r) = 3*r**2 - 3*r - 2. Let c be m(t). What is the highest common factor of q and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1*-1 + 2. Let v be (q + 3 - 2)\/(-2). Is 8 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1034*j = -1053*j. Which is the nearest to -0.2? (a) j (b) -0.29 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 4*g + 0*g)*(-3 + 6*g + 9 + 2) to c*g + u*g**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from krsrkkvrkkkkkkkvrkvk.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -56. Let z = 8.4 + j. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-2)\/4)\/(31\/607600*-140)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -3*m**2 + 1\/4*m**4 - 4\/3*m**3 + 4 + 7*m. What is f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2, -1.23, 0.3, -0.1?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 5\/14*f**2 + 1\/12*f**4 - 2 - 16*f - 11\/42*f**3 - 1\/140*f**5. Factor t(d).\nAnswer: -(d - 5)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-837)\/(-276))\/(-9) + 14\/161. What is the smallest value in 2\/9, p, -1.2, -1\/3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37993284 divided by 36?\nAnswer: -1055369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2568, -2567, -2570, -2583, -2612?\nAnswer: -2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-93)\/33 - 6\/33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-33) + (-4)\/22. Solve o = -0*w - 2*w + 4*i + 6, 5*i + 25 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -12. Calculate the greatest common factor of 24 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/78 - -4\/13. Let r = -469 - -467. Sort r, f, 4, -5.\nAnswer: -5, r, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-210)\/42*2\/(-35)*-28?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3236*c - 7057. List the prime factors of l(16).\nAnswer: 197, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 193 (b) 2 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 698614697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6048 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t + 15 = 2*u, 4*u + 2*t = 18. Let j be (-5)\/(-3) - (-2)\/u. Calculate the remainder when 8 is divided by 14\/j + 4\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -251*s + 170*s - 1296 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + (-104)\/(-16) + -6. Suppose 24 = -2*j + 5*s, 0 = -j - 2*s + q + 5. Let c(p) = 4*p**2 - 3*p - 3. What is c(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) + 198\/(-42). Let n(h) be the first derivative of -2*h - 7\/2*h**2 - 1\/3*h**3 - 10. Calculate n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -4.8. Let v = -5 + w. Sort 1\/2, v, -2 in increasing order.\nAnswer: -2, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 9*l - 30. Let a be n(-10). Suppose -5*y - 5*q = -40, -y - y + 13 = -q. Is (-4)\/10 - (y + 2988\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -81143*o + 567997. What is z(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9595 and 15150?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1874000 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/30 - 1438*m**3\/15 - 516961*m**2\/5 + 122*m + 2. Determine w, given that h(w) = 0.\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 14. Let p(d) = 8*d + 6*d - m*d. Let n(x) = 2*x**2. Determine n(p(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -115, -0.3, -5, -40, 0.5?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 6*h + 4. Let o be (-20)\/(-12)*(1 - -2). Let w be j(o). Is (0 + 0 + w)\/((-24)\/25176) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40126 or 40124?\nAnswer: 40124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 418*d - 412*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 5. Let y(r) = 14*r - 14. Let j(l) = 11*m(l) - 4*y(l). Suppose 137*z - 135*z = -218. Let i = z + 113. Determine j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 165795\/49 - (-9)\/21. Suppose 5*q - f - u = 0, 0 = 4*q - 6*q + 3*f + 1351. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o - 25 + 25 + 3*o to d + h*o and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734929391 to the power of 1\/2, to the nearest integer?\nAnswer: 41652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -89757 divided by 29919\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 1 = -23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**4 - 3*f**3 + 3*f**3 + 5*f**5 - 42*f**4 + 69*f**4 + 360*f**2 wrt f?\nAnswer: 300*f**2 + 576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 10 = -6*t + 53 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:23 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.87206 rounded to 1 dp?\nAnswer: 159.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z. Let s be (6\/(-5))\/(3\/(-10)). Let r(c) = -s*c**2 + 4*c**2 + 4*c**2 - 2*c**2. Determine r(a(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 - k + 63. Determine h(8).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12 + 380*b + 12 + 4*b**2 + 3*b**2 - 5*b**2 - 45*b**4 wrt b?\nAnswer: -540*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -5, 3, 4, -1, -43, 19 in decreasing order.\nAnswer: 19, 4, 3, -1, -5, -43, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (-1 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -0.3, -3\/7, 61, 2\/5, -2\/9, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -19) + (-8 - (-22 + -2)) - -31.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -231072000 rounded to the nearest one million?\nAnswer: -231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 5 + 5 + (-k + 3*k - k)*(-4 - 3 + 5))*(0*k**2 + 0*k**2 + 3*k**2)*(5 - 3*k + k + 3*k) to c + p*k + z*k**3 + w*k**4 + y*k**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3812e?\nAnswer: -3812d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*h + r - 4*r, -10*h + 10*h + 4*r - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1864579*u + 5938758 wrt u.\nAnswer: -1864579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5715462 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238758 is divided by 13918?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 734292 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a**5 - 19928*a**4 + 4440*a**3 + 59680*a**2 + 26068*a - 9192 = 0. What is a?\nAnswer: -1, 3\/13, 2, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.4. Let c = -0.53 + 5.53. What is the nearest to 0 in c, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 1\/4, 5, -1, -2, -346 in decreasing order.\nAnswer: 5, 1\/4, -1\/10, -1, -2, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**2. Let k be r(1). Let h = 11 + k. Is ((-24)\/(-15))\/(h\/10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225 + -207 + ((-2)\/(-6))\/(((-33)\/(-27))\/11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - -21.76650021?\nAnswer: 54.76650021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357343?\nAnswer: 7, 71, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 - 994*q + 499*q + 495*q.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/20 + 7*c**4\/12 + c. Let y(q) = q**2 - 14*q + 7. Let f be y(13). Is 18 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 18 - (-15 + 25 + 2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5 = -5*t. Solve 3*s - 2*c = -7, 4 = -t*s - 3*c - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - q - 5 = 0, -4*d - 3*q = -99 + 114 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8308102, -8308098, -8308094, -8308090?\n\"Answer: 4*d - 8308106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 11*g - 3. Let i(t) = -t**3 + 6*t**2 - 8*t + 7. Let h be i(5). Is k(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 399073181*p**2*w + p**2 - 1825835*p + w + 15 wrt w.\nAnswer: 399073181*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51480.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 6*s - 2. Let d be r(-6). Let i = -213 + -370. Let t = 583 + i. What is the closest to t in d, 0, -1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -1320.\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agzvaav. Give prob of sequence zv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 641, 481, 267, 5, -299?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (88*d**3 - 45*d**3 + 33*d**3)*(45 - 45 + 11*d) + d**4 - 6*d**4 + 3*d**4 in the form l*d**3 + t*d**4 + j*d**2 + g + c*d and give t.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 317695, 1270768, 2859215, 5083030, 7942207, 11436740?\n\"Answer: -y**3 + 317693*y**2 + y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170739182?\nAnswer: 2, 29, 53, 67, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*g - 3*g + 5, -2*z = -g - 2. Let v be (-2 + 2 + z)*-1. Let n be (7 + v)\/2 - -2. Solve -n*m + 3*m = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 2, s: 1, w: 1, i: 3, o: 3}. Give prob of picking 1 f, 1 n, and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-6))\/(5\/465)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 778592 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1116113 - -45?\nAnswer: 1116160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2.62, -6.2797?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7782.38 decades to months.\nAnswer: 933885.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(((s*s**(2\/5))\/s)\/s)\/s)*s)**(-2\/23) assuming s is positive.\nAnswer: s**(-26\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 781.766 to the nearest integer.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -836?\nAnswer: 501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -32. Let k(s) = s**2 + 5*s + 6. Calculate the remainder when u is divided by k(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7905 = -r, 0 = 5*c - 4*c - 3*c. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)*(s*s**(5\/3))\/s)**(-2\/43)*(s**(-6)\/s)\/s*s\/(s\/s**5)*s*s*s*s**3*s*s**(1\/3) assuming s is positive.\nAnswer: s**(1283\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/9)\/(2\/(-3)). What is the closest to -4 in 0, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.1 - -58.1. Which is the fourth biggest value? (a) 3\/8 (b) h (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a - 4*y, 2*a + y + 15 = -4*y. Solve 4*l + 3*v = 4, 0*l = -a*l - 5*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5797.\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114431? (a) 5 (b) 5\/2 (c) 3\/8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/(-40)*-5*16\/27?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-6))\/(-7)*(-7)\/21*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 + 171. Let l(s) = -10*s**2 + 38*s - 9. Let c(u) = 11*u**2 - 38*u + 9. Let t(m) = -3*c(m) - 4*l(m). Is t(k) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b + 20. Sort b, -2, 0 in increasing order.\nAnswer: -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74982\/10207 >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 2:04 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:09 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, l: 1, x: 1, e: 4, c: 4}. What is prob of picking 1 e and 1 c?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*p - 33*p + 70*p + 11. Let h(f) = f**2 + f - 1. Let v(k) = -7*k**3 - 3*k**2 + 3. Determine p*v(q) - 3*h(q).\nAnswer: 7*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 10125*k**5\/2 + 11475*k**4\/2 + 585*k**3 - 102*k**2 - 12*k = 0.\nAnswer: -1, -2\/15, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (194 - 203) + ((0 - (3 - 5)) + 2 - 20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-12376)\/(-42) - (2 - 4\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 552, 556, 544, 510?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 1, k: 3, b: 4, i: 2}. Give prob of picking 2 i, 1 k, and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4 + (-2 - 1 + 2)*(1 + 3 - 6) + 4 + 0 - 3)*(0 - v + 0) + 2*v + 3*v - 9*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/((-15)\/4))\/((-342)\/(-855)). Is 18 a factor of -3*(-413)\/(-42)*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*n - 3 = 0, 411 - 407 = 2*g + 5*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -57*c - 182. Give r(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 541985.2 millilitres?\nAnswer: 541.9852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/27 and -83\/3354.\nAnswer: 30186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 < 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + (-64 + 1 - (17 - (13 - -4))).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -209. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1))**(-4\/19)*(w**(1\/8)*w)\/(w\/(w*w\/(w\/(w*w\/w**(-5))))) assuming w is positive.\nAnswer: w**(65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27097649.\nAnswer: 27097649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 434.99 and -2689.\nAnswer: -1169688.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + 3*sqrt(98) + (sqrt(162)*3)**2 + -1 + 1.\nAnswer: 21*sqrt(2) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let w be 2 + 66\/(-3*o). What are the prime factors of ((-16)\/w)\/(1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvav when four letters picked without replacement from oovqvvovqqoamp?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -22. Which is the smallest value? (a) 4 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -345 + 346. Let z = 21 + -29. Are z and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236764 is divided by 169?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z + 27. Let b be c(4). Suppose -b*t = -t - 2174. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5da77 (base 16) to base 2.\nAnswer: -1011101101001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**6\/360 + d**5\/24 - 2*d**4\/3 - 32*d. Let z(a) be the third derivative of s(a). Let x(b) = -b. Give x(z(m)).\nAnswer: 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 316 + -234. Let h be -2 + (-9)\/(-3) - -51. Let u = j - h. What is the remainder when 58 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-14))\/(363\/484). Which is the nearest to -2? (a) w (b) -1 (c) 5 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/((-11)\/33). Solve 0 = -i + 4*f - w, -5*i + 3*f = -3*i + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t + 29*t + 35*t + 35*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Let v be (9 + f)*-1 - -1. Let d be (v\/3)\/((-1)\/(-48)). What is d rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 267888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -166. Suppose b = -p - 4*a + 193, -2*p + 3*a + 359 = 2*a. List the prime factors of p.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 6936?\nAnswer: 6931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/3*37\/((-1332)\/168)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(432) + 1)**2.\nAnswer: -2165 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 greater than or equal to -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42203.18 and 0.3.\nAnswer: 12660.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0352 * -146\nAnswer: -5.1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 116227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 4 - z**2 + 7 + 2 - 4*z. Let b(d) = d**2 + 1. Let y(v) = -2*b(v) + k(v). Let u be y(3). Which is greater: -10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*y**2 - 2*y**2 + 2*y**2 + (12*y**2 - 29*y + 29*y)*(-1 - 1 + 0) + 2*y**2 + y**2 - 5*y**2 + (1 + 2*y - 1)*(0 + 0 + 3*y) + y - y + 2*y**2.\nAnswer: -16*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043047337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 5889208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-42)\/(-9))*94\/10152)\/((-15)\/(-12)).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1002*h**3 + h**2 + 39*h - 2. Let y(q) = 2*q**3 - 5*q. What is v(m) + 8*y(m)?\nAnswer: 1018*m**3 + m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2688.4 - 2684. What is the nearest to b in 2, 1\/3, -0.03, 4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 1984752.\nAnswer: 25801776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 121537?\nAnswer: 41\/121537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17 + 39*g**3 - 97*g**2 + 97*g**2 wrt g?\nAnswer: 117*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006513601 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 10*y + 22. Give i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.7 - -4.91. Put 0.2, -3\/7, c in descending order.\nAnswer: c, 0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356*o = 1313*o + 215 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*j - 5. Let f(o) = -o - 8. Let g be f(j). Let y = 22188.6 - 22189. What is the smallest value in -0.6, y, g, -2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10342\/41 - 2612375\/10332. What is the common denominator of a and 115\/294?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -u + 5, -u - 2*n + 15 = 5. Suppose 2 = -2*r + 24. Solve -5*v = -5*d - 10, u*d = -d - 2*v - r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95211 and 0.3?\nAnswer: 28563.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/55884 and -38\/15.\nAnswer: 279420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 140*d - 651. Determine p(42).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001218421 to five decimal places.\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*o = -59 - 1, -56 = -3*v + o. What is the smallest common multiple of v and 692?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9049 - -126765\/14. Let d = 23416 + -14763. Let v = 103909\/12 - d. Calculate the common denominator of k and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -12, 2*z - 5*z + 52 = 4*f. Let g(p) = p**2 - 10*p + 1. Let j be g(6). Let c = j - -43. What is the highest common divisor of c and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 1134*j + 1137*j + 21, -3*m + 3 = 3*j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32\/225 - 2\/25. Which is the nearest to 1? (a) -4 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3207102*5.\nAnswer: -16035510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 220309 + -4\nAnswer: 220305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewcj when four letters picked without replacement from {s: 4, w: 5, e: 1, c: 2, j: 2}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1373 - 195*h - 1374 - 38*h to the form q + j*h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2.1, -0.0378, 27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 45. Let r be h(20). Let c be (r\/10)\/((-3)\/(-2) - 2). Let t(s) = 6 - 7 + c + 22*s. Let i(a) = a**2. Determine i(t(j)).\nAnswer: 484*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1198 + 0.1478. Let r = -0.028 + i. Put 0.5, r, 5, -0.5 in descending order.\nAnswer: 5, 0.5, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13421 + -13353. Calculate the highest common factor of w and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38826.32 + -97.\nAnswer: -38923.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 374214\nAnswer: 2993712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (713*i**3 - 333*i**3 - 293*i**3)*(-i**2 - 3*i**2 - 1 + 5*i**2)*(0 - 1 + 2).\nAnswer: 87*i**5 - 87*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-702)\/270 + 22\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1100010?\nAnswer: -1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 - 11*a + 23. Let f be x(3). Suppose -7*m + 5 = 2*y - 2*m, -2*m + f = 2*y. Solve 40 = 3*s + y*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q - 1. Let p = 2 + -3. Let c = 0 - p. Does 8 divide i(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/5 - 42*j**3 + 5184*j**2\/5 + 17496*j\/5 = 0. What is j?\nAnswer: -3, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 44. Let o be j(-19). Suppose -4*r = o*y - 2*y - 140, -r - 25 = -y. Solve 4*t + 6 = -3*u + 2, 5*u - 5*t + y = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*z - 160 + 94*z**2 + 68*z**2 - 115*z + 2*z**3 + 53*z - 2*z**2.\nAnswer: 2*(z - 1)*(z + 1)*(z + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 - 128. Let n = 75 - i. Suppose -n = 5*s - 16. Which is smaller: s or -2\/171?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1144)\/(-1020)*17 + -19 - (-3482)\/(-30)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = w + 1, 114*l - 109*l = 3*w + 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssf. What is prob of sequence sf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:55 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16794*m - 111361 - 476429 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2796 and 1704.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = 78*o + 727 + 1156 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1\/3. What is the smallest value in 0.5, 0, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279786*q**3 - 1565*q**2 + 1565*q**2.\nAnswer: -279786*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 3, 26, 83, 186, 347, 578, 891?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3591222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 4) to base 14.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*t**3*x + 72*j*t*x**3 - 1835*t**3*x**3 + 5*t**3*x**2 - 647*t**2*x + 3*x**3 wrt t?\nAnswer: 12*j*x - 11010*x**3 + 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qux when three letters picked without replacement from {x: 1, q: 1, r: 1, t: 3, v: 4, u: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1210367952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*1 + 1)*(-18)\/36. Suppose 16 = -l*f - 4*f. Let w be (-2 + 2 + -2)*f. Solve -w - 24 = 5*c - 4*q, 4*q + 4 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8*z = 3*z - 29, 4*o - 2*z + 28 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*12\/(-54). Let g = 39 + -37.35. Let x = -1.95 + g. Which is the third smallest value? (a) x (b) 5 (c) q (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -44036 + 2*l**2 + 44036. Let a(y) = 21*y. Determine h(a(d)).\nAnswer: 882*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -120*z - 154*z - 565 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97875 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: Expand a**2 + 2*a**3 - a**2 + (-3*a**2 + 0*a**2 + a**2)*(-2*a + 2*a - 2*a) + (2*a**2 + 13*a**2 - 3*a**2)*(6*a + 14*a - 6*a) + 2*a**3 - a + a.\nAnswer: 176*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 9*m**2 + 7*m - 5. Let q be b(5). Suppose -3*y + q = -2. Suppose y = -d + 5*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 726 - 231. What is the common denominator of -47\/46 and -7 + (l\/40 - 0)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23452690.\nAnswer: 2, 5, 17, 137957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 52 = -2*q. What is the common denominator of -95\/4 and (-3208)\/1456 + (-4)\/q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1474*d**2 + 6*d - 1036. Let z(b) = -246*b**2 - b + 173. Let u(f) = 6*v(f) + 34*z(f). Find the second derivative of u(n) wrt n.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 120 (c) 18 (d) -4 (e) 0.3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2182706 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 56*k + 60.\nAnswer: -4*(k - 15)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -17. Suppose 242 = a - 0*a. Suppose z - a + 42 = -4*k, -3*z - 12 = 0. Calculate the greatest common divisor of s and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/104*2\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -4*d, -4*d - 3*g = -4 - 3. Let h(i) = -7*i - 3. Let m(u) = u - 1. Let c(o) = d*h(o) + 4*m(o). Is c(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.5. Let n = 6 + s. Let z = -6.68 + n. Round z to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20613647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (129 + -127 - (-2 - 6 - -5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 + 2*c**3 + 161.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 17*m**2 + 17*m + 17. Let p be w(-16). Is p greater than or equal to 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 1875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 + 3*s - 58. Let o(x) = x**2 + x - 4. What is 3*o(k) - w(k)?\nAnswer: -4*k**2 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(32\/44 - 2). Let -30\/7*k - 4\/7 - 40\/7*k**3 - u*k**2 = 0. What is k?\nAnswer: -1, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -0.1. Let l = -10 + 9.6. Let p = 0.4 + l. Is p not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t + 84 - 336 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 - 23*h**3 - 18*h + 50*h**3 + 18*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/49, 0.4, -149, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 21*g + 84. Let r be n(5). What is the smallest common multiple of 32 and r + 0 + 21 - 1?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 355, -3, 4, 0 in ascending order.\nAnswer: -3, 0, 4, 5, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5682, 11465, 17548, 24081, 31214, 39097?\nAnswer: 47880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3915073276 to the power of 1\/3, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1149 + -608. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26000572 divided by -6500143.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2. Let p(a) be the first derivative of 62*a**2 - 481. What is p(x(r))?\nAnswer: 620*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 25*f - 36. List the prime factors of n(23).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13342853 (base 10) in base 6?\nAnswer: -1153552245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 385*n**3 - 379*n**2 - 1917*n - 1152.\nAnswer: -(n - 384)*(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*g**3 - 504*g**2 + 258*g - 4.\nAnswer: 2*(g - 1)**2*(125*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 13*k + 22. Let z = 3 - -29. Suppose 2*n + k*q - 24 = -n, z = 4*n + 5*q. Calculate the least common multiple of n and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111010 (base 2) to base 16.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 214814?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008262387 to 6 decimal places.\nAnswer: -0.008262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + 5*u**2 + 4. Let z(o) = -3*o**3 - 4*o**2 + o - 3. Suppose 1 = 2*c - 5. Let g(m) = c*z(m) + 2*l(m). Calculate g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1160 + 3*v**2 - 6*v - 1160 + (2*v + v - 5*v)*(-6*v + 2*v + 2*v) + v**2 - 3*v**2 + 0*v**2 + v**2 - v + v.\nAnswer: 6*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1376\nAnswer: 275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5399, -4, 7, 0, -2, 11, 5 in decreasing order.\nAnswer: 5399, 11, 7, 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1. Let g(l) = -5*l**2 + 2*l - 5. Let x(r) = -g(r) - 6*m(r). Let h be x(8). Let c(o) = 267 - h - 2*o. Let p(z) = -6*z. Determine c(p(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6650 + 132939\/20. Find the common denominator of m and 7\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 185?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0, 28146, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25. Let p(g) = 7*g - 6*g**2 + 0*g - 3 + 8*g**f - g. Is p(3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 23*w**2 + 2*w + 90. What is the smallest common multiple of 24 and m(0)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*b - 19972 = 16673 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 512076 + 7*z**4 + 302*z**2 + 512076 + 0*z**3 - z in the form l*z**4 + n*z**2 + q*z**3 + b*z + g and give n.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 4650.9\nAnswer: -1395.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0 (base 11) to base 13.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60074*q - 16674*q + 19220*q.\nAnswer: -57528*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 110. Suppose -2*o + d = -6. Let t = -8 + o. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4020 + -5215?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5.8. Let f = v + 2.2. What is the smallest value in f, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-3\/4)\/a)\/a)**45 assuming a is positive.\nAnswer: a**(-315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7148, -7146, -7144?\nAnswer: -7142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from guggrguugu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 3 in descending order.\nAnswer: 3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/110*(-7395)\/(-1071).\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*l + 1647 = 13910, -2*d - 4*l = -4900. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-90))\/(2\/6). What is the least common multiple of 488 and ((-16)\/(-14))\/(c\/(-7))?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2079\/(-154)*(-30)\/(-81).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(2\/3))**(-50))**(-3\/7))**(11\/2) assuming a is positive.\nAnswer: a**(275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2288436419285 - 0.3.\nAnswer: -0.5288436419285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 348 + 970. Does 113 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y - 45. Let j = y + 9. Solve -4*m + 4 + 0 = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*l - 20, 55 = -5*v + 5*l + 5. Let w = 10 - 20. Do w and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5092, 2, -11, 0.4, 4\/9 in decreasing order.\nAnswer: 5092, 2, 4\/9, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 19119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*x + 339 = -7*x, -x + 1 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44946 + 92645 - 56982)*(0 - 4*o + 0) to the form x + p*o and give p.\nAnswer: 37132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8337 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - 10) - (21 + (4 - 19)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7219 - 4894. Suppose -18*s + 15*s = -j. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -12. Solve 0 = -2*h + 5*l, -4*h + 16 = i*l - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-8))\/(11\/(-176)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8 - (-6)\/(96\/4). Suppose 3*i = 4*m + h - 12, 0 = m + 2*i. Suppose -5*f = -z + 101, 97 = 3*z - m*z - f. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80032 is divided by 428.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbeebebbee.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.06, -2, 2.8, -0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 165652*j\/3 + 7387152.\nAnswer: 2*(j - 82692)*(j - 134)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18\/9*-1)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070370216 rounded to 4 decimal places?\nAnswer: 0.0704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236703469*i**2 + 135286232*i wrt i.\nAnswer: 473406938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/9 - (-32)\/18. Let a be f\/(-8) - 6\/8. Let o = 151\/3 - 50. Is a smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 144. Suppose u = z - 7. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*y - 389, -g - 4*y + 249 = 2*g. Let x = 138 - g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -28 (b) -0.2 (c) -2\/17 (d) 0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 71 + (-12)\/(-3) + -1. Let h be d\/540 - 56\/(-30). Solve 4*t + h*l = -2 - 6, 5*l = -2*t - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(3*k**3 - 4*k**3 + 2*k**3) + 381*k - 381*k - 20*k**3 to m + d*k**2 + l*k**3 + r*k and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16791 + 25531 = -190*l for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264233903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-12)*y*y)\/(y\/(y*(y*y**27*y)\/y))*((y\/y**(-19))\/y)**(-2\/9) assuming y is positive.\nAnswer: y**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -934, -1862, -2790, -3718, -4646?\n\"Answer: -928*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/119881 or -1?\nAnswer: -38\/119881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let l(c) = 12*c**2 + 11. Let a(z) = -4*z**2 - 3*z**2 + 16 - 12 + 11*z**2. Let n(v) = 11*a(v) - 4*l(v). Determine n(f(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196\/5 - 39. Sort -0.5, -1\/5, j.\nAnswer: -0.5, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4*v + 2*b**3*o + 48*b**2*v + o - 30*v + 8 wrt b.\nAnswer: -4*b**3*v + 6*b**2*o + 96*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 127*z**3 - 3*z - 128*z**3 + 4*z**2 + 251*z**3 to v*z + f*z**3 + r*z**2 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(44))**2 + sqrt(396)\/sqrt(4).\nAnswer: 3*sqrt(11) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 5*f**2\/2 + 11*f + 24. Let q(h) = -h - 2. Determine -22*q(t) - 4*y(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*p - 19 = 11, 3*v - 8 = p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/954 and 67\/514737.\nAnswer: 54562122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -32*x. Let p(r) = -27107*r + 5. What is z(p(q))?\nAnswer: 867424*q - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, u: 8, e: 1}. Give prob of sequence eee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8)**18*(b*b\/b**(2\/15))**(2\/5))**(-2\/55) assuming b is positive.\nAnswer: b**(-21712\/4125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748 is divided by 1748.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 - 149. Solve 6*p - 20 = u*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43255 or -43258?\nAnswer: -43258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.01 and -82894.\nAnswer: -166616.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-152)\/(-20) + 3\/(-5). Let s = d - -286. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + -16 + 7 + 3 + 2 - -65.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/(-9) - (-3)\/9. Let o(i) = -17*i - 2. Let z(y) = -42*y - 5. Let h(d) = -5*o(d) + 2*z(d). Let c(k) = -k. Calculate x*c(a) + h(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1955863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -213 - -203. Let x(a) = -286*a**3 - 11*a**2 - 9*a + 10. Let n be x(l). What is n rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3421 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + t)*(4 + 0 - 6) + (7 - 2 + 1)*(259*t - 100*t - 131*t) to a + r*t and give r.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*t. Let j be 0*t\/(-2)*-1. Suppose j = -2*k + q + 9, -2*k - 5*q + 29 = 2. What is k rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 9*h**2 + h - 2. Let x be l(9). Suppose -x*r + 253 = -167. What is the smallest common multiple of r and 110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 1\/3*v**3 + 0*v**5 + 0*v + 2*v**2 + 0*v**4 + 1\/210*v**7 + 0 + 0*v**6. What is the derivative of j(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 29*w + 184. Calculate o(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a + 4. Calculate v(5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 37516881?\nAnswer: -37516885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247208 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) -12 (c) 1\/22 (d) 19\/4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/2))\/m)**(-10\/11)*m**(-3\/7)\/(m\/(((m\/(m**(-8)*m))\/m)\/m)) assuming m is positive.\nAnswer: m**(317\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19725 or -19741?\nAnswer: -19725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-870 - -38786)\/(-6*(-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 11*l**2 + 2*l - 5. Let n be v(-11). Is -27 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/12 - 7*n**4\/8 + 9*n**2\/2 + 7*n. Let h(g) be the first derivative of m(g). Find the second derivative of h(d) wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 10:44 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/8*(-3 + 1). Suppose 64 = -x*h + 6*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.9 + 24. Let m = -14 + 14.3. Which is the biggest value? (a) m (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3311612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 12. Let u be h(6). Let p be (6 - u)\/6 - (-10)\/2. Calculate the highest common factor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 15*a**2 - 171*a - 297.\nAnswer: 3*(a - 11)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 2:11 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b + 26. Let x(w) = -69*w - 1. Calculate u(x(g)).\nAnswer: -483*g + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 - 28*i**2 + 19*i + 12. Give r(6).\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 40*t = -76. Let h be 4 - (2 - t)\/4. Let a be (28\/3)\/(-2 - 16\/h). Solve -b - 11 = 3*n, -2*b - 2*n = -0*b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/25 - -721\/50. Find the common denominator of n and 0 - (-1 + (-117)\/21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302881?\nAnswer: 139, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177310 and 3278?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*c**3 - 181*c.\nAnswer: 342*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3100 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**3\/3 + 7*w + 34. Give l(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43899 (base 10) in base 11?\nAnswer: -2aa89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -13*u. Suppose -4*x - 28 = 4*k, u*k + k = -3*x - 13. Let v be -1 + k\/(2 + 0). Put 5, v, 3 in ascending order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(208) + -1 - sqrt(208))**2 - (2 + sqrt(208))*2).\nAnswer: -3316 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20578*h - 7*h**2 + 0*h**2 + 41162*h - 20563*h.\nAnswer: -7*h**2 + 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 7:36 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3335)\/(-2668)*1\/(-10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -19 + 58. Let a(p) = 0 - 4*p**2 + 5 + 2*p**2 + 4*p**2 - 2*p. Let t be a(6). Calculate the highest common divisor of t and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g + 5*d - 450, -2*g = -d - 474. Which is smaller: 234 or g?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p. Let k(c) = 498832*c. What is q(k(x))?\nAnswer: -9477808*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92693403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 85*y**2 - 3*y - 3. Suppose u + p = 0, 5*u + p - 18 = 10*u. What are the prime factors of a(u)?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 66364*v**3 - 1594464*v**2 + 9570240*v.\nAnswer: 4*v*(v - 12)**2*(v + 16615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/8 of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -1\/99, 0, -1475?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9080 divided by -5.\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(3\/10). Suppose g + 3*g + 12 = 0, -k = v*g + 2. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.6 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5811613744.78 - 0\nAnswer: 5811613744.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 171*k - 175*k + 2*l, l = 5*k - 10. Which is the fifth biggest value? (a) 1\/5 (b) -1 (c) 5 (d) -3 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6779 + 6756. Which is the biggest value? (a) -3\/2 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001328 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8 and 31\/5*(1 + 5\/(-6)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1569, 4\/7, -2, -0.5.\nAnswer: -2, -0.5, 4\/7, 1569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(108) - (2*sqrt(108) - sqrt(108))**2) + sqrt(108) + -1 + (sqrt(108) + 0)*-2 + (sqrt(108) + -1 + (sqrt(9)*-2)\/sqrt(3))**2*5.\nAnswer: -40*sqrt(3) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506851773.\nAnswer: 3, 53, 103, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-6)\/(-9) + 1634\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 14 - 9 + y - 10*y**3 - 3*y**3 + 6*y**3 as v + l*y**2 + a*y**3 + h*y and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29\/293, 0.051, 150\/7?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9334 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5148*q + 5159. What is i(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 296 + -188. Let y = a + 9. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 114085*t**3 - 650712315*t**2 - 650826405*t.\nAnswer: -5*t*(t - 11409)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 6*x)*(24*x - 18*x - 222 + 183).\nAnswer: 18*x**2 - 117*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1981 + 2005. What is the remainder when f is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6598*q**3 + 0*q**2 - 8*q**2 + 7 + 0*q**2 - 6595*q**3 as x*q + p + b*q**3 + r*q**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2010 = 5*j + 110. Suppose 5*i - j + 85 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.20386 millilitres to litres.\nAnswer: 0.04820386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89768 - 43152. Let o(w) = -46616 - 9*w + a. Calculate o(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4603\/576 + -29\/64. Find the common denominator of d and -16\/4113.\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 - 0.04867688862\nAnswer: -244.04867688862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15877.7 and -0.4.\nAnswer: 6351.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30348823.\nAnswer: 30348823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 4}. Give prob of sequence pprp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from jaarracdjr?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-20))\/(48\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -964 - -643. Let n = -75 - m. What are the prime factors of n?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5572206 is divided by 867.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -575*i**5 - 10*i**2 + 69*i wrt i.\nAnswer: -34500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14 + 82*s + 5 + 0. Calculate the remainder when i(3) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14360591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558.306 minutes to microseconds.\nAnswer: 33498360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67905443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 614*i**2 + 2*i*u**2 + 35*u**2 + 16*u with respect to i.\nAnswer: 1228*i + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23019929*f**3 - 9*f**2 + 2*f - 170604 wrt f.\nAnswer: 138119574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26557156 less than 0.25?\nAnswer: -26557155.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*1*((sqrt(637) - (sqrt(637) - sqrt(637)*3)) + -1))**2*2.\nAnswer: -2520*sqrt(13) + 412826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -3. Let s = -11 - t. Suppose -3*k + s = u, 2*u = k - 0*u + 4. Solve -2*w - 3 = -n + 2, k = 5*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-15)\/42) + -3. Suppose 3*z = -x + 15, -5*z + 4*x = x - g. Suppose z*p - 40 = -0*p. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:53 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i**5 - 1\/1080*i**6 + 0*i**3 + 129*i**2 - 2 + 1\/54*i**4 + 0*i. Let s(h) = 0. Calculate h.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2996 - 3004. Let b = -19 + 19.5. Put -4, h, b in increasing order.\nAnswer: h, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 - 13*t + 17. Calculate the remainder when 47 is divided by u(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-160)\/85 + 18\/(-6) + 5. What is the nearest to 0 in 1\/6, q, 3.71?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24235)\/(-444))\/131)\/(1\/6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 143*z**6\/30 - z**5\/12 - 83*z**4\/24 + 451*z**2. What is the third derivative of a(r) wrt r?\nAnswer: 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 + t + 123. Give i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o, -20 = -5*n + 3*o + 50. Let x(r) = -r**2 + 15*r + 41. Let d be x(n). Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 + 20*b - 52. What are the prime factors of y(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5015 (base 9) in base 8?\nAnswer: -7113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:48 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*p - 20550020 = -173*p + 32*p. What are the prime factors of p?\nAnswer: 41, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d + d**2 + 4 - 3 + 2. Let w be 24\/(-4 + 6) + -1*2. Let o be (12\/(-15))\/((-2)\/w). Determine b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256*u**5 - 556*u**2 - 2*u wrt u.\nAnswer: -15360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-5 - ((-11 - 0) + (-9 - 2)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 - 88 = -5*l, 0 = -4*l - 2*o + 66. Let r = l - 9. What is the tens digit of (-8)\/(-10)*180\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -40. Which is the closest to 3? (a) u (b) -1\/4 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 0.5, -3, -1\/5, 0.85, -0.5023?\nAnswer: -0.5023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 11*b + 15. Let i(m) = -m**2 + 9*m + 12. Let a be i(11). Let n be k(a). Suppose 5*g = 2*j + 206, -129 = 2*g - n*g + 3*j. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 105 + 243. Let a = s - 112. Let j = -1 + 0. Sort a, -4, j in increasing order.\nAnswer: -4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4 + 14, -z = o + 3. Suppose -h + 2 = -z*h. Let w(a) = -a**2 - 4*a. Let l be w(h). Solve -2 - 2 = l*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -471, -1895, -4269, -7593, -11867, -17091?\n\"Answer: -475*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - l + 1 = 0, 5*q = q - 5*l + 5. Let o = 36 - q. Calculate the smallest common multiple of o and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 338*y**4 - 2506*y**3 - 2376946*y**2?\nAnswer: 8112*y - 15036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 8*i + 9. Let v(l) = -l**2 + 4*l + 4. Let x(y) = 2*p(y) - 5*v(y). Let a(b) = -b**3 - 20*b**2 + 67*b - 41. Let q be a(-23). Determine x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - (sqrt(130) - (2*sqrt(130) + sqrt(130)))*-5) + sqrt(130))\/sqrt(10))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (1 - -1 - (-253 - -267))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84899269 is divided by 3145?\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 4*r**2 + 3*r + 3. Let x be z(4). Let d = x + -11. Let m(f) be the first derivative of f**2\/2 + 4*f - 2. Determine m(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6510217?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -0.18, 0.68, -1\/2, -50?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 253245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 7*n = 60 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 3*f + 2. Let r be b(2). Let w = 12 + r. Solve w = u - 5*u, 0 = 4*l + u - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, -2, -4 in ascending order.\nAnswer: -385, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2\/7*a**3 - 2\/7*a + 24\/7*a**2 - 24\/7 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*s + s - 4*a, 50 = 5*s - 5*a. Suppose -p + 75 = 5*t, -2*t = -0*p - s*p + 321. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/1067 and -46\/922761.\nAnswer: 10150371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/21848320 and 93\/136552.\nAnswer: 21848320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16956*m - 16915*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5.6. Let p = -67088 + 67086. What is the smallest value in -0.3, p, g, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from fnypynppfpn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -0.2639972?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 83*k + 78. Is f(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -680367*x**2 + 63*x + 46299?\nAnswer: -1360734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*w + 2*v, -5*w + 28*v = 32*v - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/1607 or 1?\nAnswer: -24\/1607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4\/5*w**2 - 4\/5 - 8\/5*w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 2, f: 2, y: 4, a: 1}. Give prob of sequence jf.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 755 and 80968465?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 2742*w + 66675.\nAnswer: 3*(w + 25)*(w + 889)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + a - 2*p + 56, 0 = -3*a - 5*p + 42. Suppose 0 = f - 11 - a. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 433*i**6\/120 + i**5\/30 - 329*i**4\/24 + 25*i**2 + 3. What is the third derivative of u(m) wrt m?\nAnswer: 2598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 814 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*u + 649 - 633 = 0, k - u = -8. Let h(y) = -8*y - 47. What is h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -30379 + 29379 for i.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1169948280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(468)*5)**2 + -1 + 2.\nAnswer: -70199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 5*j**2 + 2*j + 1. Let s be a(4). Let g = s + 9. Find the second derivative of x**2 - x**2 + 12*x + 15*x**g - x wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-48)*-3*-1. Let n(s) = -s**2 - 25*s - 18. Let f be n(-14). Let i = 412\/3 - f. Which is the smallest value? (a) 2 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23023 and 12504063.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 805949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -545, -531, -517, -503, -489, -475?\n\"Answer: 14*n - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than 5098679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79083 and 3059181?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/(2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19219453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-513)\/456*(-4)\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/(-6) - (25 + 368088\/(-63))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 289751.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -5, 5, 4.\nAnswer: -139, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*z - 3*x, -3 = -7*x + 8*x for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*a + 99 = 6*a, -4*v + 111 = -3*a. Suppose 12*d - 2*d = -v. Let y(c) = -24*c + 12. Is y(d) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 325, 446, 769, 1396, 2429?\n\"Answer: 17*a**3 - a**2 + 5*a + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -7. Let o = w - -32. Suppose 8*m - 1 = 15. What is the remainder when o is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:50 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114349, 114406, 114471, 114544, 114625, 114714, 114811?\n\"Answer: 4*r**2 + 45*r + 114300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (630\/81)\/(-7)*(-9)\/15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309866\/7 - -44268. Let 8\/7*h + r*h**3 + 16\/7*h**2 + 2\/7*h**4 + 0 = 0. Calculate h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 15*l + 9. Let p be u(-8). List the prime factors of (2\/(-6))\/(p\/(-201)).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/57, 2, 8, 0.6 in ascending order.\nAnswer: 8\/57, 0.6, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43001670.\nAnswer: 2, 3, 5, 17, 84317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y. Let n(d) = -15*d**2 - 14*d**2 + 34*d**2. Calculate n(x(h)).\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -379096 and -4?\nAnswer: 1516384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/3))**(-8)*(y\/(y*y**(-6\/7)\/y))**32 assuming y is positive.\nAnswer: y**(1024\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/69 - (-16)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36\/7? (a) 388 (b) 4 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0 - 8. Suppose 4*k + 3*b = 3 + 10, -k - 2*b = -7. Find x, given that -132*x**3 + 3*x**4 - 24*x + 114*x**3 - k + 1 + 36*x**d = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60760.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 6*m + 6 - 1 + 13*m - 18*m - 6*m.\nAnswer: -15*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 8:20 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(1\/2)*v))**(-5\/4))**(1\/65)*(v**(-2\/9)\/(v**7*v))\/(v*v**(-1\/3)\/v)**(-4\/11) assuming v is positive.\nAnswer: v**(-86003\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 96*d**3 + 187*d**2 - 7*d - 7. Give c(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 31268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4938 from -12.7156.\nAnswer: -11.2218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -386, 2, -3 in decreasing order.\nAnswer: 2, -3, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 + 1 = 0. Suppose -w*h - 14 = 19. Let i = h + 32. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66248, -132457, -198622, -264749, -330844, -396913?\n\"Answer: -x**3 + 28*x**2 - 66286*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956172877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.78517.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 46, 95, 172, 283?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 63. Suppose -6*g - 13 = -55. What is the remainder when 389 is divided by s(g)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:15 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/44*(-2684)\/(-122).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 229344580 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.177818*-9.703\nAnswer: -1.725368054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 609735911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 45*v**2\/2 - 3139*v\/2 - 275839\/6.\nAnswer: (v - 67)*(v + 23)*(v + 179)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(60)\/sqrt(5)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1009 - -547. What is the common denominator of 22\/13 and ((8\/(-6))\/(-2))\/((-728)\/s)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81 or -44756\/553?\nAnswer: -44756\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4715550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121839483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 + 1. Let h = -51 - -58. Let k(d) = -4*d**3 - 1. What is h*w(a) + 5*k(a)?\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 82526*x\/5 + 57664944\/5.\nAnswer: 2*(x + 711)*(x + 40552)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-38772\nAnswer: 7754.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56513443.2 - 0.\nAnswer: 56513443.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + x**2 - x - 1. Let v = 21 + -19. Suppose -7*m - 10 = -v*m. Give w(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 14. Let x(c) = -4*c + 5. Let q(f) = -12*f + 14. Let y(n) = l*x(n) + 4*q(n). Give y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113756375 at least -113756375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 - 1)\/(-4))\/(-2). Suppose 3*h - 9 = -z. Suppose h*r - 2*u = 16, -3*u + 7 = 4*r - 3. Is r <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -207239395749 and 0.189.\nAnswer: -207239395748.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 105343*z - 4637029. Calculate x(-44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11619.9998096 - -11620. What is u rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128.8 - -10.8. Let i = -26372.39 + 26256. Let h = a - i. What is h rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 12) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1162 + 2523?\nAnswer: 4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 46*k - 42. Let z be w(22). Let h be (-3)\/(-2)*11\/33. Which is the nearest to z? (a) h (b) 0.4 (c) -1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z - 1. Let t be k(5). Suppose 0 = 5*l - 32 - 58. What is the greatest common divisor of t and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - u - 3, -4*x + 0*x - 5*u - 21 = 0. What is the smallest value in -1\/3, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyykyyjjykyyjyyj. What is prob of sequence jyk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -685, -1171, -1635, -2065, -2449, -2775?\n\"Answer: 2*r**3 - r**2 - 497*r - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q**2. Let d(t) be the second derivative of 43*t**3\/3 - 1441*t - 1. Determine d(f(s)).\nAnswer: 1892*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2480 and 69\/30070.\nAnswer: 240560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(o + 0 + 0) + 3*o + 7*o + o + 3 + o - 3 - 2*o + 4*o - o + (-3 - 2 + 3)*(-2*o + 3 - 3) - 3*o + 4*o + 2*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = -15*p + 3*p + 63 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-1935)*79636\/16668?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1533.466 and 0.7.\nAnswer: -1532.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 13 - (-75 + 116)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 102 = -2*i + 3*v, -i + 4*v + 13 = 0. Sort 0, -113, i, -1.\nAnswer: -113, -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73611*n**5 - 9*n - 3942?\nAnswer: -1472220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 114267528 = 4*v, 68560512 = 3*y - 6*v + 2*v. Suppose -y = u + 3*u. Let h = u - -2613377. Round h to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 2*s**2 - s + 3. Let j be k(-4). Let o = 159 - j. Suppose -4*m = 4*m - 112. What is the highest common divisor of m and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -1505?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 174. Differentiate 105*o**3 + 242*o**2 + 154 - 242*o**v wrt o.\nAnswer: 315*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-189)\/18 - -18 - (0 + 0 - -8). Which is the nearest to w? (a) 5 (b) -25 (c) 2\/5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 9*j**3)*(-2*j - 2*j + 5*j) + (1 - j**3 - 1)*(-3*j - 3*j + 5*j) - 5*j**4 + 9*j**4 + 7*j**4 to h*j**4 + t*j**3 + y*j + w + x*j**2 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*m**2 + 32 - 32 as i + g*m**2 + t*m and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 70374, -2, 5, 3.\nAnswer: -2, -1, 3, 5, 70374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 + 154 + 146 + (-3 - 1 + 2)*(-2 - 1 + 5))*(-h**5 + h**5 - 2*h**5).\nAnswer: -378*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-33)\/4))\/((-20)\/(-18590)*-13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (0 + 2))\/(2\/(-6)). Let r(n) = -3*n**3 - 9*n**2 + 11. Let w(b) = -2*b**3 - 4*b**2 + 5. Give m*w(f) + 4*r(f).\nAnswer: 6*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (-51 + -29 + 49).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -7*j + 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233145 - -233152.99992. Let f = 8 - h. What is f rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15815 + -8549. Is v a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.649 * -0.02086.\nAnswer: 0.01353814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - k - 2 - 2*k - 2*k + 3*k + (2*k + 3*k - 3*k)*(1 - 2 + 2) + 3*k - 2*k + k + 77*k - 111*k + 741*k + 186*k in the form m + v*k and give v.\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57993.\nAnswer: 3, 13, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 17*g**2 - 49*g + 447. Determine c(8).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -14 - 5 - -49?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -34 - l + 4*l + 5 + 38. Let v(j) be the first derivative of -j**2 - 14. Give v(u(k)).\nAnswer: -6*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 180890376161\nAnswer: 180890376159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2609.367 (b) -4\/37 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7896 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:32 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16687552 divided by -112\nAnswer: -148996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 1. Let s be 747\/15 - 2\/w. Suppose -5*r + 5 = -s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11399 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: What is the greatest common divisor of 1378 and 505037?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuz when three letters picked without replacement from {z: 8, u: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 25*d**2 + 23*d - 20. Let s be w(14). Round s to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 50 - (-10 - -1 - (557 - 554))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*t + 149*t + 4*k = -15619, -15620 = -5*t + 5*k. Which is smaller: t or 3124?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-672)\/14*(-4)\/16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/83 + 53\/249. Let z = -6.6 + 6.9. Which is the closest to d? (a) 4\/3 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(3\/(-36)). Find w, given that -4*w**4 - 8*w**2 + 0*w**4 + 4*w**h + 4*w**3 + 4*w**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 19) + 3 + 3 + (-13 - -12) + -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**3 - h**2 + 3*h + 3. What is r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 77. Let c = 340\/7 + r. What is the second smallest value in c, 1\/6, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 12. Suppose 2*b = -5*c + 30, 2*c - 33 = -9*b + 4*b. Let u be p(b). What is the units digit of (-8)\/(-4) - (u + -31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/(sqrt(12)*2) - (sqrt(108)\/(sqrt(4)*-2) + sqrt(27)))\/(-1*(1*sqrt(576) + sqrt(576) + sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27*l + 12. What is the units digit of x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-3*17\/(-1870)*2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*y + 100 - 263 - 447. Suppose -2*t + i + 119 = 0, 3*t + 0*i - 186 = 3*i. What is the least common multiple of t and y?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3*w*y*z**2 + r**3*w*y + 1801*r**2*y**2*z**2 + 43*r**2*y**2*z + 2*r*y**2*z - w*y**2 wrt z?\nAnswer: -4*r**3*w*y + 3602*r**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - x - 10893 + 10912, y - 3*x + 65 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*d**6 - d**2 + 80*d wrt d?\nAnswer: -6600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -6, -12, -18, -24, -30?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6954, 27789, 62516, 111129, 173622, 249989, 340224?\nAnswer: 444321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002265 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/15)\/((-2)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 14*b - 11. Let z(w) = w**3 + 5*w**2 - 4*w - 5. What is the remainder when z(-5) is divided by g(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -4, 3, 629?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/11)\/c**(2\/39)*c*c**28*c*c**(-23) assuming c is positive.\nAnswer: c**(3059\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9577697 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82*7.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/87, -25, 1\/3 in decreasing order.\nAnswer: 1\/3, -2\/87, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, g: 4}. Give prob of sequence oggg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g**4\/9 - 11*g**3\/9 + 2*g**2\/3 = 0. Calculate g.\nAnswer: -2, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/570 and -93\/22.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 80 - 66*a - 25\/3*a**3 - 1\/2*a**2. Differentiate q(o) with respect to o.\nAnswer: -50*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276084 a multiple of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (50 + -3 - -2) + -2. Let d = r - 31. Solve 5*o + 1 - d = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -73 (b) 0.13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5432*n + 58200 = -7857*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -12911 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w + 991 - 879 = -d, -2*d + 26 = 3*w - 7*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 21*l**2 + 7*l + 103. Determine y(-21).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2015288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 16. Determine b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 333305043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*t - 0*b + 5*b - 7, 38 = -3*t - 13*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 plus 0.106113966006?\nAnswer: -30.893886033994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/960 - s**5\/160 - 3*s**4\/64 - 2*s**3\/3 + 7*s. Let l(h) be the second derivative of o(h). Factor l(w).\nAnswer: 3*(w - 3)*(w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022587 - -196314.5277.\nAnswer: 196314.550287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/270*-3*7756. Let v = 424 + d. Let x = -20\/3 - v. Sort -4, x, 0.9 in ascending order.\nAnswer: -4, x, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 23839*f**2 + 60034392*f.\nAnswer: -f*(f - 2297)*(f + 26136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 140 = 4*v, v - 530 = -3*c - c. Let o = 1353 - 1341. What is the highest common divisor of o and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 3:25 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 121187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -178 + 91 + 83 - (-50 + 2)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(-22*y + 39*y - 18*y) as a + r*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34706 and 1206.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 4, 2, -3, 21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**5\/5 - 5*u**4\/2 + 3*u**2 - 4*u - 781. Find the second derivative of w(c) wrt c.\nAnswer: 12*c**2 - 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -0.227, -0.134, -0.1?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -8, -3, -4, 21, -5, 202 in descending order.\nAnswer: 202, 21, -3, -4, -5, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**4 - 27276*v**3 - 35*v**2 - 2777 wrt v?\nAnswer: 72*v - 163656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/8 and -79\/375496.\nAnswer: 375496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19092 and 1776.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*s - 2*s**3 + 412 - 404 + 18*s to u*s**3 + k + x*s**2 + b*s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3372, -3444, -3570, -3756, -4008?\n\"Answer: -h**3 - 21*h**2 - 2*h - 3348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1021104321 (base 5) to base 8\nAnswer: 10075507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -112020121201221 (base 3) to base 4\nAnswer: -130320100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 + (12000\/66)\/16. Which is the fourth biggest value? (a) 21 (b) q (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-569373)\/(-27113)*(1\/2)\/((-2)\/4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, -3, 68, -33, -11 in decreasing order.\nAnswer: 68, 23, 4, -3, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490762, 981352, 1471942, 1962532?\nAnswer: 2453122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4051, 4050, 4049, 4048, 4047, 4046?\nAnswer: 4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56277959 and 11269.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14 + 3\/6. Let l be (-1 + 3)*(-2)\/i. Differentiate -1 - 9 + 7 - 13*o**l with respect to o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 - -165. Calculate the greatest common factor of 28 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11904 and 1488.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 6*r + 9*r = 29, -r = 4*x - 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23164638, -46329280, -69493922?\nAnswer: -92658564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:01 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2336\/(-21)*3 - -3. Let h = v + 331. What is the nearest to h in -1, 28, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 4*n - 208, 4*m - 156 = -2*n. Suppose m*k + 10 = 45*k. Differentiate -3 - 3 - k - 8*p**2 wrt p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16 + -13 + 14*3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 37500 = -7*j. What is j rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 155635?\nAnswer: -155624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*v - 0*v - 490, 4*d - 8 = 0. Calculate the remainder when 248 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 - 1046*y - 20596 = 0.\nAnswer: -19, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -6 - (5 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -26*m + 11. Suppose -2*l = -u - 451, 0 = 4*u + m - 13. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -6) + 1 + (5 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144600092 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1893 + -0.2593. Which is the third smallest value? (a) 0.5 (b) 21 (c) z (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-4)\/(-66)) - 3*1\/(-6). Solve r - p = 3*a, 32*a + 5*r = 31*a + 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00291878 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035267219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -2 in decreasing order.\nAnswer: 10, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooac when four letters picked without replacement from ookooooacooika?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2*u**3 - 2*u**3)*(-4*u + 3*u + 0*u) + (2*u - 2*u + 2*u**3)*(-2*u + 4*u + 0*u).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8526 divided by 8526?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.93 + -0.07. Let m = 1.5 + -0.5. Let f = 0 + m. What is the nearest to -1\/4 in -2\/5, f, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 30.132, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7831680 divided by 120?\nAnswer: -65264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -612 - -617. Is 6 - (4 + 82*-2 + j) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108779 and -3.\nAnswer: 326337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 7. Let j be z(-10). Suppose 4*q + 6 = 2*f, j*q = f + 3 - 6. Let h(u) = -u**3 + 4*u**2 + u - 4. What is the remainder when h(f) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 3\/2, -3, 3, 7 in increasing order.\nAnswer: -6, -5, -3, 3\/2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Suppose 74*n = 78*n - 16. Solve q*w - 8 - n = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -74100?\nAnswer: 74100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-4))\/(5\/((-40)\/3)). Determine a, given that a**2 + 21 - 12 - i*a + a**2 - 1 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169369906 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: Is 420 at least as big as -0.15369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 773905017 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 64*d**3 - 47 - 28.\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5100 or -5097?\nAnswer: -5097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42289875?\nAnswer: 3, 5, 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from mmnmmmnmmnmmmmmnmm.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-4*60\/144)\/(650\/60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 3*n**2 + 2*n**4 + (4*n**2 - 2*n**2 + 0*n**2)*(-n**2 + 0*n**2 + 6*n**2 + (n - 6*n + 3*n)*(2*n - 4*n + n) - 2*n + 2*n**2 + 2*n).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -15. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + w**2 + 4*w)*(-302*w**2 + 135*w**2 + 1443*w**2) in the form f*w + p + h*w**4 + a*w**3 + i*w**2 and give h.\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30362\/13115 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*x**2 + 84*x**2 - 59*x**2)*(-9*x + 92 - 92).\nAnswer: -1584*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1009, -2137, -3265?\nAnswer: -4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 61 = -5*z - 5*g, z - 35 = 4*g. Suppose -z*t + 1672 + 2453 = 0. What are the prime factors of t?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1743*a**3*g - 3*a**2*g - 2*g - 1096 wrt a?\nAnswer: 5229*a**2*g - 6*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 995 = -5*m - 3*a, a + 895 = -4*m + 106. Let r = 90 + m. Let k = r + 744\/7. Is 2\/9 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5826524\/13 + 448526. Let q = 332 - o. Find l, given that 0*l + q*l**3 + 2\/13*l**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1834, -2, 5, -2\/3, 3\/5, -6 in ascending order.\nAnswer: -6, -2, -2\/3, 3\/5, 5, 1834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1632 (base 7) in base 11?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521493251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 8035633*w**4\/6 + 2*w. Let o be t(1). Suppose 4071266 = 4*l + o. Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 - 299130*h**2 - 4473937845*h = 0. Calculate h.\nAnswer: -29913, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 12*m**2 + 41*m - 7. Calculate z(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 - 3*i**3 + 0*i**3 + (70*i + 44*i + 424*i)*(-3*i**2 + 3*i**2 - 10*i**2).\nAnswer: -5378*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35637 divided by -34.\nAnswer: 35637\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 44, 101, 182, 287, 416, 569?\n\"Answer: 12*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9))**47*((w*w**(-9))\/w)\/w**(7\/5) assuming w is positive.\nAnswer: w**(-938\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 5, e: 1, h: 3, b: 1, r: 1}. What is prob of sequence hr?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 4:04 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -6\/5 (c) 24\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -34\/27577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.1 (b) 3387 (c) 3 (d) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 175*r\/4 + 245\/4.\nAnswer: 5*(r - 7)*(4*r - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 15*n + 2. Let j be u(-15). Let b be 2\/(12\/3693)*j. Let c = 2280 - b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/((42\/(-7))\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 + 8*y + 1. Let h be (-9480)\/525 - 4\/(-70). Let t(m) = -m**2 + m. Calculate h*t(f) + 2*w(f).\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1067, 2107, 3119, 4103, 5059, 5987, 6887?\n\"Answer: -14*q**2 + 1082*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/((-150)\/125)*3\/(-30)*-18?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11111201*t**2 - 8*t - 16338?\nAnswer: 22222402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -290379732 divided by 2?\nAnswer: -145189866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 s when four letters picked without replacement from {f: 1, q: 7, s: 2, e: 1, p: 3}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 6498*b**2\/7 - 24168*b\/7 + 22472\/7 = 0.\nAnswer: 106\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 16*d + 34. Calculate q(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -24535154?\nAnswer: -24535203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 19*w - 111. Let d be l(6). Let c be (-45)\/105*(-1)\/((-2)\/(-4)). Suppose 4\/7*x**2 + 4\/7*x**d + 2\/7*x**5 - c*x - 6\/7*x**4 + 2\/7 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**2 + 2*d - 4. Let j(t) = 5*t**2 + t - 2. Let l(q) = -9*j(q) + 4*u(q). Let b(v) = -v**2 - v + 2. Let s(a) = -5*b(a) + 6*l(a). Give s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -25 - (0 + (-2 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.06043644 to 1 dp.\nAnswer: 261.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d4d (base 16) to base 4.\nAnswer: 11311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**(9\/4)*i)\/i**12)\/(i**(-3\/8)*i\/i**(-6)))**(-21) assuming i is positive.\nAnswer: i**(3003\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1701\/49 - (-4)\/14. Let a be (-122)\/(-7) - (-20)\/k. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**2 - 5*l + 2. Let o = 62 + -55. Let j be b(o). Calculate the greatest common divisor of j and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1486*n**5 - 6*n**2 - 6688*n - 1.\nAnswer: -29720*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -40?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:07 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -146? (a) 0.06277 (b) 3 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -675, -1529, -2735, -4299, -6227, -8525?\nAnswer: -11199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971918533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3220 and -59\/2260.\nAnswer: 363860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277333 to the power of 1\/2, to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10019, -0.3, 163.\nAnswer: -0.3, 163, 10019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 27*f**2 + 2615*f - 37332. Let s(y) = 16*y**2 + 1566*y - 22399. Let m(c) = -10*l(c) + 17*s(c). Differentiate m(r) wrt r.\nAnswer: 4*r + 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.2. Let z = -1.6 - -1.3. What is the biggest value in c, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Let u(x) be the second derivative of x**4\/12 - 74*x**2 + 2299*x - 2. What is m(u(k))?\nAnswer: -k**4 + 296*k**2 - 21904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**6\/z)\/((z*z**(-1\/5))\/z)*z**5\/(z**(-1\/12)*z))**(23\/5) assuming z is positive.\nAnswer: z**(12811\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 3*k**2 + 2*k**2 + (-k + 3*k + 0*k)*(-k + 2 - 2) + 1 + k**2 - 1 - 227*k + 227*k + 11*k**2 in the form p*k + o*k**2 + v and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**31*q*q\/q**(-29))\/((q\/q**(-2\/15))\/q)**(-12\/11) assuming q is positive.\nAnswer: q**(3473\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -57, 3 in increasing order.\nAnswer: -57, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.097 and -0.15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.671477 rounded to 3 dps?\nAnswer: 0.671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n + 2*n - 3*n + 0*n + 4*n - 2 + 2 - 2*n + (-2 - 2*n + 2)*(-1 + 1 + 1))*(-3*n**2 - 27*n**2 + n + 8*n**2).\nAnswer: 44*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -705 + 1176. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021431712 to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.5, -5, 0.1, -0.3 in decreasing order.\nAnswer: 2\/7, 0.1, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 64 = 3*w, -n - 7*w - 7 = -2*w. Solve 5*x - 3*j + j - n = 0, 0 = 2*x + 3*j - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 30 = -0. Let g be (-4)\/z + (-3036)\/(-15). List the prime factors of (-12)\/54 - g\/(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s. Suppose 2*i - 6*v + v = 6, 3*v + 6 = 0. Let k be u(i). Solve y = -5*o + k*y, -3*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7014, 14038, 21074, 28128, 35206, 42314, 49458?\nAnswer: 56644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 1\/30*q**5 - 1\/120*q**6 + 3*q**2 + 0 + 0*q**3 + 0*q + 0*q**4. Find the third derivative of g(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -37. Let g = -1.3 + 0.9. Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/10)*s**13)\/(s**(-1\/5)*(s*s**(-13)\/s)\/s) assuming s is positive.\nAnswer: s**(271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + y)*(1 - 2 + 2) + 46366*y - 1 - 46325*y + 2.\nAnswer: 39*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f - 15. What are the prime factors of d(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 681*c**2 - 39495*c + 52. Calculate i(58).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37342?\nAnswer: 2, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 14*t**2 + 14*t + 27. What is the tens digit of w(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v - 60. Suppose 7*a = v*a. Solve a = -o - 0*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1049*z**4 - 2169*z**4 + 1022*z**4 + z**4 + 2*z**4 - 5*z**4 + (-z + 4*z - z)*(z**3 - z**3 - 2*z**3) + 2*z**4 - 3*z**2 + 3*z**2.\nAnswer: -102*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588*u = 5*w - 584*u - 711, -5*w = 3*u - 707. Which is the nearest to w? (a) 1 (b) 0 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.54614706 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 2*x**3\/3 + x**2 + 5. Factor d(m).\nAnswer: 2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.118.\nAnswer: -0.0472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*c + 8, -27013*c = -7*h - 27016*c + 57 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 8*s - 2. Determine m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113\/6 - -58\/3. Put -56\/3, o, 0.4 in increasing order.\nAnswer: -56\/3, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 5 = 55*l + 2*y - 19, 63*y + 10 = 64*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0 - 11 - u**3 + 7 - 11*u**2 - u - u. What is the remainder when l(-11) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(272) + 2) + (sqrt(272) - (sqrt(272)*-5 + -5 - sqrt(272))) + -2)**2*-4 + 4.\nAnswer: -17440 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 918 and 51918?\nAnswer: 467262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 16 - 31)*(-1 - 3*i + 1).\nAnswer: 153*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*234\/6. Let x = y + 16. Let m be 1 - (-8)\/(-10) - 0. What is the closest to -1 in x, m, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-14)*b*b)\/(b**(-10\/9)\/b) assuming b is positive.\nAnswer: b**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.2 (c) 6 (d) 2 (e) -0.1775\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 62*x**2 - 1 + 1 - 7*x**2 - 3 to the form c*x + g*x**2 + r and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 4, q: 1, s: 1, d: 2}. What is prob of sequence qden?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 12*w**2 - w + 22. Let o be r(12). Let f(u) = 2*u**2 + 10*u + 6. Let m(j) = 3*j**2 + 20*j + 11. Let l(g) = 5*f(g) - 3*m(g). What is l(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - 105*l**2 + 2*l - 251. Calculate b(35).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g + 35*g + 128*g + 23*g - 228*g - 6.\nAnswer: -7*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*p + 36 = 6*p, 4*z + p + 37 = 0. Let y be (-5)\/(-18) - (-5)\/z. Let g = 0 + 0.5. What is the third smallest value in g, y, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/2)*w)**(12\/5)*w**8\/(w\/((w*w**(-9)\/w)\/w))*(w**(-2)\/(w**(7\/6)*w))\/(((w*w**2)\/w*w)\/(w\/(w*w\/w**9))) assuming w is positive.\nAnswer: w**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3.0000035. Round f to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-59 - -10 - -15)) + (-1 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 5*w + 8. Let s = 1 - -5. What is the units digit of v(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13905*r. Let t(f) = -f**2. Calculate s(t(k)).\nAnswer: -13905*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3197 and 4423119?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001058376 rounded to six decimal places?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3275\/262*(-90)\/(-7125)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 5*b**6\/6 - 5*b**5 - 35*b**4\/4 + 25*b**3\/3 + 15*b**2 - 126. Solve n(u) = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*q + 3*c, 0 = 4*q + 5*c - 31 + 41 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 7:36 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -3*l - 154. Suppose 0 = h - 3*w - 6, 0*h + 2*h - 4*w = l. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 1.9. Let k = -1.6 + x. Which is bigger: 0.05 or k?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.0066454 rounded to three decimal places?\nAnswer: 39.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20218, 40507, 60866, 81295, 101794?\nAnswer: 122363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, 4, 143, 11 in decreasing order.\nAnswer: 143, 36, 11, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Let h(n) = -4 + 5*n - v*n + n + 5*n. Let x(d) = -6*d + 3. What is -5*h(i) - 6*x(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(284\/(-1704))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 690 - 688. Suppose 4*o = j*r - o - 1498, 4*o = 16. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19*m**2 - m + 7. Let h be c(-5). Suppose 2*u = 4*z + u - h, 3*z - 349 = 4*u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (3 + 1) - (-510)\/(-75).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 38, 91, 186, 335, 550?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -3, -7, -2.2 in decreasing order.\nAnswer: -0.8, -2.2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*q**2 + 58*q**2 + 52*q**2 - 155*q**2 to j + c*q**2 + i*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 232, 535, 968, 1537?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*t*y*z + 79*c**3*t*y + 2*c**3*t*z - 2*c**2*t - 2*c**2*y - 3*c*t*y*z - 10*c*t*z - 2*y*z wrt c.\nAnswer: -12*t*y*z + 474*t*y + 12*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let r(m) = -61*m**2 + 4*m. Calculate r(o(j)).\nAnswer: -61*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73.3 + 70. Let u = -3.2999938 - k. Round u to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313370 (base 8) in base 9?\nAnswer: -167820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 15, w: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z + 3*c - 21, 5*z - 3*c - 6 = 0. Let b be (2\/3)\/(z\/27). Suppose -a + 21 = -b. Calculate the remainder when 80 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45710 + 2331476\/51. Let l = w + 2105\/408. Let x = -33307\/16 + 2083. Find the common denominator of x and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/4 + 2. Let n = 39535 + -39535. Factor f**2 + 0 + n*f - y*f**3.\nAnswer: -f**2*(f - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 22*x**2 + 238*x + 12. Suppose 5*z = -11 + 71. Let p(s) = -9*s**2 - 95*s - 5. Let j(m) = z*p(m) + 5*g(m). Factor j(b).\nAnswer: 2*b*(b + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 s when three letters picked without replacement from {x: 4, z: 3, n: 3, s: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2719 + 48979\/18. Find the common denominator of -43\/30 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 5*y + 2. Let t be w(5). Let o = -5.66 - -0.16. Let m = o - -5. What is the closest to 1\/2 in t, 3\/5, m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 + 4*y + 5\/2*y**2 + 7\/6*y**3. Let c(l) = 3*l + 2. What is 2*a(z) - 5*c(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -h - 4*h + 30, 15 = 2*h - z. Suppose g + h - 22 = -3*f, -3*f + 3*g = -15. What is the remainder when 13 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q - 1 + (3 - 1 - 3)*(q + 3*q - 5*q))*(q + 0*q - 5*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 4. Let z be f(8). Let o be (z\/(-4 + 0))\/(-1). What is the tens digit of (-20)\/30 + 146\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11478 - 2956. Is 98 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13303, 26604, 39905, 53206?\nAnswer: 66507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 6695720*i**2 + 6695720*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(7) + sqrt(7) + sqrt(343) + -1)*6 - ((-1 + sqrt(7))*-5 - (0 + -2*sqrt(7))))**2.\nAnswer: -138192 + 11628*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -4*a + 3. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-33))\/(30\/165))\/(5\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 72. Let z = c - -41. Let d = -21.37 - z. Round d to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+178575.7562829\nAnswer: 178572.7562829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7183314, -7183313, -7183312, -7183311, -7183310, -7183309?\nAnswer: -7183308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 58. Let y(l) = -58*l + 64. Let g be y(c). Let h(a) = -4*a - 3. Let k(p) = p. Let j(n) = -h(n) - 5*k(n). Calculate j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3708 - 3741.62. Let m = w - -34. Let f = m - -0.02. Which is the smallest value? (a) -0.2 (b) -1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 16 + 6 + 7976*v**3 - 2033*v**3.\nAnswer: 5943*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4275 (base 9) to base 13\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {m: 9, y: 4, d: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2341359 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248910*s**3 - 451902*s**3 + 37701*s**3.\nAnswer: -663111*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.91804 and 0.174?\nAnswer: 0.15973896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9124123 or 9124127?\nAnswer: 9124127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36515\/13 + -2809. Which is the nearest to x? (a) -1 (b) -2\/57 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/50 of a litre in millilitres?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*m - 25573*g**2 + 5*g*m**2 + 10*m**2 - 9*m - 9 with respect to m.\nAnswer: -3*g**2 + 10*g*m + 20*m - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:32 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-84)*(-3)\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + 2*i + 3 - 2 + 0 + 0 + 2*i - 2*i + 3*i + i + (3*i - 4*i - i)*(0 - 1 - 1).\nAnswer: 13*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 163?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207977998.\nAnswer: 2, 1217, 85447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15103 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((2511\/372)\/(-2*126\/56))\/(3\/(-136))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -172, -650, -1598, -3172, -5528?\nAnswer: -8822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - 10*l + 7. Suppose -s + 42 = 2*s. Suppose 251*a - 286*a = -140. Let b(p) = -p**2 + 3*p - 2. What is a*r(t) + s*b(t)?\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -112012002 (base 3) in base 10?\nAnswer: -10343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2\/7)*i*i)\/(i\/(i\/(i\/i**(-9)*i))))\/(i**(-4)\/i*(i*i\/(i**(4\/3)\/i)*i)\/i) assuming i is positive.\nAnswer: i**(-83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606 and 2525.\nAnswer: 15150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 682 and 241366?\nAnswer: 2655026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10107 a factor of 3021376473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*j*t**3*y**2 - 2629*j*t**2 - 26*j*t*y**2 - j*t*y + 45*t**3 wrt y.\nAnswer: 136*j*t**3*y - 52*j*t*y - j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 11*z**2 + z + 106. What is the smallest common multiple of c(10) and 948?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*n + 85 + 111, -n = q - 48. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 160?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 5) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 21 = -m. Calculate the highest common divisor of 49 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/144 and -47\/33?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -200*f - 1524. Let d be m(-8). What is the highest common factor of d and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1016, 4413, 10080, 18017, 28224, 40701, 55448?\nAnswer: 72465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4 + -0.4. Let p = k + -4.3. Which is the nearest to -1? (a) p (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1132 - -1132.14016. What is u rounded to 3 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2393440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 64\/5*v - 4\/5*v**4 + 3 - 4\/25*v**5 + 0*v**3 + 32\/5*v**2. Factor l(z).\nAnswer: -4*(z - 2)*(z + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 5*v + 5. Let q be o(0). Let c be (-1)\/((-25)\/10 - q). Find a such that 0*a + 4\/15*a**5 - 4\/15*a**3 + c*a**2 - 2\/15*a**4 + 0 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 1\/3 in increasing order.\nAnswer: 0, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0171164711 to four decimal places.\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/8)*h**(1\/4)*h*(h**(-1\/2))**15*(h**(-2))**(-2\/47)\/(h**(-2))**(-40) assuming h is positive.\nAnswer: h**(-32539\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 4*m + 3*m)*(0*m**3 - m**3 - 2*m**3) to the form y*m**2 + u*m**3 + z + x*m**4 + h*m and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2955, 11275, 25133, 44523, 69439, 99875?\nAnswer: 135825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -91*i + 9*i - 26 - 11 + 2. Let g be b(-5). Suppose 0 = -15*q + 20*q - g. 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: Suppose -63*v = -53*v - 90. Find the second derivative of 38 - 23 - v*g**2 - 17*g - 17 + 6*g**3 wrt g.\nAnswer: 36*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2155*h**3 - 30*h**2 - 45*h - 15. Let y(v) = -539*v**3 - 8*v**2 - 12*v - 4. What is 4*d(q) - 15*y(q)?\nAnswer: -535*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 3*j + 24. Suppose 5*y - n = 2*y + 863, -2*n - 574 = -j*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100222 + -1?\nAnswer: 100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**7\/42 - 7*n**6\/150 - 2*n**5\/25 + n**4\/15 + 21*n + 22. Let x(j) be the first derivative of o(j). Let x(t) = 0. What is t?\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-441)\/(-33))\/3)\/(534\/53845*55)?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + ((sqrt(500) - -2*sqrt(500) - sqrt(500))*-2 - (-3 + sqrt(500) + 0)) + 1)**2.\nAnswer: -800*sqrt(5) + 12564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 + -80 + -77 + -24.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 + 0.2?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 2 r when four letters picked without replacement from {i: 1, g: 2, v: 1, x: 1, l: 2, r: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = u + 3*u. Let l be -8*(1 - u - 2). Let r(d) = -d - 15. Let c be r(l). Solve 0 = 3*s - w + 5, 2*s - 5*w + c - 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665 divided by 110802\nAnswer: 665\/110802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 296, 491, 676, 851, 1016?\n\"Answer: -5*j**2 + 210*j + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27016 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3470392 is divided by 1156645?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = -2*r. Let t be (r + -2)*-9 - -2. Let h = -4 - t. Solve 3*v - 21 = -v + h*o, -3*v + 3*o + 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aala when four letters picked without replacement from zzaazaaaazazzalzll.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 2. Let n(f) = -448*f + 129. Let g(k) = 5*h(k) - n(k). Is g(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198391613?\nAnswer: 7, 373, 75983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.00989, 1, 4, -4 in decreasing order.\nAnswer: 4, 1, -0.00989, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (500\/(-240)*-6*-2)\/(1\/1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -847 - 49. What is the remainder when 102 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 6. Let w(s) = -2*s**2 + 16*s. Let j(p) be the first derivative of -p**2\/2 + 14. Let n(d) = 48*j(d) + 3*w(d). Let l be n(1). Determine u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {h: 1, d: 1, k: 1, e: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2*r**3\/3 + r**2 - 51*r + 103. Is l(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -267, -1113, -2545, -4581, -7239, -10537, -14493?\n\"Answer: -3*b**3 - 275*b**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.17 - -10.152995. Let d = -0.018 - n. What is d rounded to 5 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/5 - 203564*r\/5 + 529334 = 0 for r.\nAnswer: -101795, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)*3)\/sqrt(5))\/sqrt(2))\/((sqrt(3) - (-2*sqrt(3) + sqrt(3)))*5 + (-5*sqrt(9)\/sqrt(3) - sqrt(3))).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = b + 2*f + 2*f, 3*b - 5*f - 4 = 0. Let s(n) = -2*n + 0 - 13*n + 2 - 6*n. Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*g - 266 - 175, 3*g + 2*y = 276. Let c be (9\/27)\/(3\/g). What is the highest common divisor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*w**2 + 19 - 9 - w + 34 + 3.\nAnswer: -60*w**2 - w + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 18*u. Give c(-13).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c + 3*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 72 + 3*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let g(k) = k**2 - 1. Let d be g(-1). Suppose -1 = -t - d*t. Calculate the greatest common divisor of u and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*l + 2485479 = -516023 - 143758. What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -10. Let c be 4\/(-10)*14\/(-4). Let w = 33\/20 - c. What is the second biggest value in q, w, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000149631 rounded to 6 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 444859\/724299 - 2\/12707. What is the common denominator of -61\/63 and i?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 3. Let d be y(3). Let b(p) = -13*p + 5*p + d*p + 4*p. Let s(g) = -4*g**2. Calculate s(b(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-6) - 6\/(-36). Let r(b) = 5 - 7*b + z*b**2 + b + b. Let x(h) = h**2 - h + 1. Let w be (1\/(-3))\/(5\/15). Determine w*r(f) + 5*x(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:40 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hllhhhhjllhhjllllhhr. What is prob of picking 1 r, 1 l, and 1 j?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, -2\/9, 0.01, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -88, -124, -160, -196, -232?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -2, 2, -4, -1, 354, -5.\nAnswer: -75, -5, -4, -2, -1, 2, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 90, 207, 370, 579, 834, 1135?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 9748*i**3 - 107131*i**2 - 233652*i + 350532.\nAnswer: -(i - 1)*(i + 6)**2*(i + 9737)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 28. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 94*i**2. Let u(b) = -2093350*b. Determine u(d(g)).\nAnswer: -196774900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -27. Let f = 32 + o. Find the first derivative of 2*i**f + 5*i**2 + 6 + 4*i**2 wrt i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*v - 22 = 0, 0 = 64*i - 60*i - 5*v - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = m + 2, 6 = -q - 2*m - 0. Suppose 134 - 62 = q*u. Calculate the lowest common multiple of u and (1 - -5)\/((-2)\/(-5)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5868 + 5867.8. Let l = -5\/3 - -2. Which is the smallest value? (a) 0.04 (b) 13 (c) r (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 8*n + 1. Let l be d(8). Let c be -7*l\/(-2)*24\/2. Let m(g) = -g**3 + 2*g**2 - 2. Let f be m(-2). What is the highest common factor of f and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r + 2. Let t be h(3). Suppose 5*j = 20, -t*j + 36 - 4 = 4*l. Solve l*u + 28 = 5*f, -2*u + 2 = 3*f - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0.3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 6. Let n(q) = 7*q - 27*q + 15*q. What is o(n(j))?\nAnswer: -25*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -114882*d - 1493379. Determine r(-13).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1008 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5907\/430 + 208\/43. Find the common denominator of z and 115\/6 + (-18)\/(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4748, -9492, -14236?\n\"Answer: -4744*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 0 - (-11 + -1 + -2). Let g(n) = 24*n. Let q be g(1). Let u = 108 - q. Calculate the greatest common factor of u and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -68478\nAnswer: 11\/68478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 1\/14, -1, -2, 2242 in ascending order.\nAnswer: -5, -2, -1, 1\/14, 0.5, 2242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2 = 7*q + 3*l - 2*l, -3*l = -7*l - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39146122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 - 4*q - 3. Let c be u(4). Let f = 55 - c. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2601 is divided by ((-102)\/15 - -8)\/((-8)\/(-140)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-12 - (2 - 15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (15\/(-2))\/((-144)\/(-168)) and (-1)\/(12\/(-76)) - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, 236, 554, 880?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 11. Let i(h) = 10*h**2 - 14*h - 7. Is i(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 + 6 - 13 + 0 + 43*c**2 to the form d + w*c + j*c**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 18, 5, -14?\n\"Answer: -3*y**2 + 2*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 715166095427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 70*w - 134. Determine t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {j: 8, c: 1, b: 6, f: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 16. Let d be g(-11). Suppose -h + 4*h - 4*v - 85 = 0, -2*v - 25 = -h. Calculate the greatest common factor of h and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 555509411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*u + 12096 = -1281*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41652 = -2*i + 2*s, 3*s - 18587 = -2*i + 23075. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 83, -2\/3, -4791?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004424844864 rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*i + i + 14, -2*f + 4 = 0. Suppose 0 = -s + a + 19, 26 = 2*s - i*a - 2. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*q**6 - 236*q**4 + 15*q**3 - 564488*q**2?\nAnswer: 600*q**3 - 5664*q + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:51 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*o + 69 + 91 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89267627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 2*i**2 + 2*i - 2. Let r be z(2). Let u(j) = -4*j + 1. Let d be u(-1). Let k = d + -3. Solve 6 + r = -x + 4*a, 0 = 5*x - a + k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2, 2\/7, 2.8, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1022*f**2 + 1287*f**2 + 493*f**2.\nAnswer: 2802*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2 + 146*i - 780. Calculate l(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002052316 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10923.\nAnswer: 3, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 2. Let h be 12\/(-8) - (-18)\/c. Suppose 3*n = 4*j + 32, n + n - 23 = h*j. Calculate the smallest common multiple of 22 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s - 429\/2*s**2 + 100. Let i(p) = -2*p**2. What is i(h(z))?\nAnswer: -368082*z**2 + 1716*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -3\/7 (c) 4 (d) 78\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (495\/6600)\/(1\/4)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11*g - 18 = 0. Let d(t) = 57*t + g*t**3 - 4*t**3 - 58*t + 0*t**2 + 4*t**2. Determine d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 25. Suppose 19*c = -13*c + 160. Solve 0*v - 2 = o*v - 4*n, 5*n = c*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1639*f - 1884. List the prime factors of o(9).\nAnswer: 3, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2, -0.3, -58, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 10*h. Let q be y(-5). Suppose v + 5*j - 26 = 0, 2*j - 10 = -q. What is the third derivative of 1 - v + 12*x**4 + 16*x**2 - 12*x**2 wrt x?\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/3 and (-79)\/(-3)*(-8)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -286 and -140794\/491 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-743*s - 1588*s - 531*s + 1152*s)*(-2*s + 2 + 1 - 4) to the form g*s + p*s**2 + y and give p.\nAnswer: 3420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690260.\nAnswer: 2, 5, 34513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -797.999999399 + 798. What is n rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267168509?\nAnswer: 3, 23, 41, 157, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from {e: 1, x: 1, z: 1, t: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/24 - (58\/(-4) + 1). Do 12 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + 2 + (-11 - (17 - 124)) + -17.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:00 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*n - 2140, -2*c + n = 3*c - 2689. What are the prime factors of c?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = 0, 5*x - 16 - 98 = -4*f. Let m(q) = -q**2 + 11*q - 15. Let o be m(11). Let j = 37 + o. Calculate the lowest common multiple of j and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35612280057581\/6173141610 + 544\/32490219. Let k = x - -28848\/5. Find the common denominator of -73\/93 and k.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36\/90*(-6379625)\/(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37534966*k**2 - 93111111*k.\nAnswer: -75069932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1204 - (0 - (-2 - -9)). Let u = 9693\/8 - s. Calculate the common denominator of 2 + (-93)\/14 + 0 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by 5\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 + 168 = 5*q. Calculate the smallest common multiple of q and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*k + 102. What is the highest common factor of 95 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-826)\/(-1239)*(-2)\/(-3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303709*z + 321356?\nAnswer: 303709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2958919*d**6 + 7*d**2 + 38970 wrt d.\nAnswer: 355070280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*122\/(-427)*(-4 + (-66)\/(-20)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 68\/5, -1, -0.08, -3.6, -8\/7?\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1484 and 518\/4403 - (-11474)\/(-64872).\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -32044*h - 993366. Calculate r(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10794803843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**2 + 8*d - 2. Suppose 0*w + 9 = 3*w. Suppose w*g - 7*g = 32. Let c(x) = -x + 3. Give g*c(j) + 3*p(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 5*q**2 + 2*q + 5. Let l(h) = h**2 - 7*h + 4. Suppose -4*w + 4 + 24 = -3*i, 0 = 5*i. Let x be l(w). Give p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -113.802874 and -0.4?\nAnswer: 113.402874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*r + 762 = -1264, 5*q - r = 5091. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 9296844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -108, 961 in increasing order.\nAnswer: -108, -5, -1, 961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(3) - sqrt(3)) - sqrt(3) - (sqrt(3) + -4)**2*-4.\nAnswer: -31*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 - (-22)\/(-28). Let m = 161 + -163. Which is the biggest value? (a) g (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/255720 and 69\/580.\nAnswer: 7415880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 123 = 4*q - 4*s, -3*s = 5*q - 210. Let m be q\/9 + 1\/(-3). Suppose -t + m = t. Solve 3*o = -2*h + 23, 5 = -t*h + 2*o + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -0.7. Let s = 0.33 - 2.13. Let x = n + s. Sort x, -2, 0.08.\nAnswer: -2, x, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0*j + j + 7 - j**2 + 2*j**2 + 6*j. Let y be w(-6). Is 1 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5*y = -5*i + 20, -5*y = -2*i - 15. Let b(l) be the second derivative of -7\/12*l**4 + 5\/6*l**3 + 1\/20*l**i + 0 + 3\/2*l**2 + l. Give b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((0 - (-4 - 6)) + -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*c + 5*l, 0*c + 2*c = 2*l - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -29. Let y = 22 - h. Let a be y + -3 + 101999 + 2. What is a rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4825 * -3\nAnswer: -1.4475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -75801 to the nearest 1000.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3312 and 8901?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 42*h = 1496. Let y = h + -745. Solve -5 = -2*q - 3*a + 4, -9 = -y*q - 3*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*t - 9, 5*x = -t - 1 - 2. What are the prime factors of (-4 - -2)*((-668)\/8 - x)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610421 divided by 183.\nAnswer: -610421\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -650?\nAnswer: 21\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - -0.2. Let u = -1.254 + 1.654. What is the nearest to -2\/7 in -0.4, r, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(1216)*2)**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*c + 505 = 3*u, u = -5*c + 95. Let k(o) = 2*o**3 + 78*o**2 + 14. Let g be k(-39). Let x = g + u. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 13 = -82. Suppose 0 = -a*x + 209 + 256. Calculate the highest common factor of 31 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 0)\/(6\/3). Calculate the common denominator of (-1 - 19\/4)*-3 and (5252\/182)\/(z + -1 - -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 7456*y + 7452.\nAnswer: 4*(y + 1)*(y + 1863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -163, -250, -339, -430?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27862, -111441, -250738, -445753?\n\"Answer: -27859*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 235*c - 10*c**2 + 9*c**3 + 39*c**2 + 8*c**2.\nAnswer: 9*c**3 + 37*c**2 - 235*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**3 - 3*g**2 + 8*g. Let d(v) = 18*v**3 + 8*v**2 - 23*v. Let l = -6 - -3. Let a(i) = l*d(i) - 8*w(i). What is the second derivative of a(s) wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21595 bigger than 21594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1432 (base 6) to base 5.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13472 - 0.03472. Which is the third smallest value? (a) 8 (b) 6\/7 (c) u (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -754782.5 to the nearest one thousand.\nAnswer: -755000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480512 divided by 15422?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 608 and 130084.\nAnswer: 19772768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (-1 + sqrt(2299)))**2*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*h**2 - 139*h**2 + 17*h**2.\nAnswer: -197*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -19*v + 2. Let g(a) = 6*a + 14*a - 1 + 0*a + 6*a - 16*a. Calculate -11*g(k) - 6*p(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811, 812, 813, 814?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 6*r**2 + 5*r - 19. Let a = 428 + -436. Let l be h(a). Calculate the highest common factor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243825 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -21. Let o be 0 + 24\/(b + -1). Let c(x) = -x**3 - 5*x**2 + 5*x - 2. Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20201 (base 3) to base 15\nAnswer: -c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*u + 41, -8*u + 10*u - 34 = -4*g. Is 14 a factor of (-20 - -10)\/((-2)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000059482463 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1454, 1510, 1566, 1622, 1678, 1734?\nAnswer: 1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 18. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 4, w: 1}. Give prob of sequence brbb.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00703407 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -829\/7 + 118. What is the closest to -9\/8 in y, -4, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4622622\/259 - 17848. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpmlilep. Give prob of picking 1 p, 1 m, and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 7*v**4 - 101)*(-1 + 1 - 2) - 447*v + 47*v**4 + 447*v.\nAnswer: 61*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 3420\/133)\/((-4)\/(-8) - 3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 13. Suppose s = -w - w. Solve 0 = x - 4 - w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Suppose v = -l + 2*l - 39. Let s = l - 22. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/2 + 144386*m - 10423658498 = 0.\nAnswer: 144386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 + 5*d + 2. Let k = 39 + -41. Let x be h(k). Let a be 184\/6*(1429 + 0 - x). What is a rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23880 and 1539?\nAnswer: 12250440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 191*m + 592. Let v be y(-3). Solve v*k + 1 = 24*k - 2*b, 2*k + 5*b = 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -26.3453438?\nAnswer: -22.3453438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.37 in 16, -3\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/12, 0.03 in decreasing order.\nAnswer: 4, 0.03, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/50313 and 22\/4175979.\nAnswer: 4175979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 11*p + 0*p**2 + 3*p**2.\nAnswer: -2*p**2 + 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2519092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 2. Let j(g) be the first derivative of -g + 1 - 1\/2*g**2. What is -a(p) + 2*j(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxb when three letters picked without replacement from {a: 4, f: 3, x: 1, b: 3, v: 5, g: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.38 (c) 0.4 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.47 + -0.37. Let k = -2 - -6. Let g = -4 + k. What is the biggest value in g, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 789430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**2*y**3 - 3287*h**2*y - 7*h*y**3 + 158*y**2 + 16*y wrt y?\nAnswer: -36*h**2*y - 42*h*y + 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5773.0914us?\nAnswer: 0.0000016036365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 66 + 0*a + 1\/6*a**3 + 0*a**2 + 1\/32*a**4. Find h, given that u(h) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4254*u + 800*u + 2339*u.\nAnswer: 7393*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - (-8127)\/(-215) - (-409)\/5)*(-3)\/(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 1.111.\nAnswer: 6.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5112792 a multiple of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/23, 12487, 3, 8 in descending order.\nAnswer: 12487, 8, 3, 3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j + 30. Let s be (-2)\/6 - (-226)\/j. Calculate the smallest common multiple of s\/(-2) + 1 - 2 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336407 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 5966, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*z - 10 - 2, -5*z = -5*u + 5. Let y(i) = -5*i**3 + 2*i - 2. Let t(j) = -5*j**3 + 3*j - 3. Determine z*t(g) + 3*y(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 24 = 5*h, -3*d - 6*h + 19 = -2*h. Let g(y) = 4 - 3 - d - y. Calculate g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let a(g) = -5*g - 127. Let h be a(-26). Let u(q) = -q**3 + 2*q**2 + 4*q - 2. Let c be u(h). Give k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u - u + 6*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238653209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 280946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0b8304 - -13?\nAnswer: -a0b82b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -4*l - 215, -9*l - 240 = 499*z - 504*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*s + 58, -i + 14 = s - 5*i. Let x be (-6 - 150\/(-24)) + 678\/8. What is the highest common divisor of s and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -5*z**4\/6 + 100*z. Let f(l) = 2*l - 1. What is m(f(j))?\nAnswer: -40*j**2 + 40*j - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:37 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*h**4*w - 315*h**3*w - 31*h**2*w + h**2 + 294*h wrt h.\nAnswer: 768*h*w - 1890*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.5573049 rounded to two dps?\nAnswer: -52.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0208 - -0.0008. What is the second biggest value in 0.4, 0.01, 2\/9, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 12146?\nAnswer: 14\/6073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -930 (c) 0.1 (d) 131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 - 1. Let u be o(-1). Let r be 9*10*6\/36. Suppose -d - 25 = 4*t + t, d - 3*t = r. Solve 3*x + u*h + 1 = -3, 2*x + 4*h = d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1309 + 379 = 2*w. Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, 1 i, and 1 h when four letters picked without replacement from cfchigggihfcohghgihg?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -1\/12*v**4 + 0*v**3 + 0 - 1\/20*v**5 + 3*v**2 - 2*v. Let z be k(0). Solve -2*l + 2*s = 6, -5*s = -3*l + z - 21 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*j + 71. What is the remainder when 73 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -159 - 26. Suppose 247 = 7*g + b. Suppose -8 = 4*r - 5*r. What is the remainder when g is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 207*r - 411*r + 63 - 62 - 158 wrt r?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z + 148. Let y be d(0). Suppose -5*c + 719 = -5*v + v, y = c - 5*v. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, w: 4, z: 8, u: 1, i: 1, b: 2}. Give prob of sequence zhiw.\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - -240. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208 minus 142967?\nAnswer: -142967.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1, -2116, 229, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2920\/240)\/(-21*10\/180)*-7?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42963*o**3 - 157*o**4 - 42963*o**3 + 0 + o**4 + 0 + (-3*o**3 + 0*o**3 + 2*o**3)*(2*o + 0 + 0) to x*o**3 + f*o**2 + y*o**4 + q + h*o and give y.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 4*j + 4. Give b(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*w - k + 19, -2*w - k - 9 = 0. What are the prime factors of -1 + (-2)\/w*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 6:14 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.24 - 0.24. Which is the closest to 1? (a) -1\/6 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 6*x - 6. Let p be a(-3). Suppose -p*z = 7 - 7. Suppose 3*u = -4*m + 177, 4*u + m - 223 = -z*m. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -12 - -153*271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + -48. Let o = 319 + l. What is the third derivative of 2*r**4 + 197*r**5 - 14*r**2 - 2*r**4 - o*r**5 wrt r?\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 1455 = -1037. Let y be g\/(-14) + 1 - (-153)\/357. Calculate the common denominator of ((-106)\/12)\/((-88)\/y) and -89\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -19*s. Let z(g) be the second derivative of -g**4\/4 - 55*g. What is k(z(o))?\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -38. Let g be y\/18*(-1 - 11). What is the highest common factor of 32 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151057 is divided by 231.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u + 5 - 2 + 2*u. Suppose -4*h + 3 = -1. Let j(w) = -2 + h + 9 + 5 - 17*w. Calculate 6*j(c) - 26*x(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -417 - -421. Suppose 0 = j*o - w - 76, 4*w - 3*w - 50 = -3*o. Let f = -5 + 15. What is the smallest common multiple of o and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + 367*m - 532. Give y(72).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579581562?\nAnswer: 2, 3, 7, 601, 22961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6004607*i + 421273 wrt i.\nAnswer: 6004607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 3*x**3 - 3*x**3)*(2*x - 2*x + x) + 2*x**4 - 3*x**4 + 2*x**4 + 84*x**4 + 320*x**4 + 11*x**4.\nAnswer: 414*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 881712, 881715, 881718?\n\"Answer: 3*v + 881709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 10*w**2 + 16*w - 7. Let r = -16 + 24. Calculate l(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzts when four letters picked without replacement from stzscssztgstsstss?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66882 divided by -34.\nAnswer: -33441\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/7, -2\/37, -2\/3?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3100223 + 2?\nAnswer: -3100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 6288*t - 12560.\nAnswer: -4*(t + 2)*(t + 1570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18042442.2 - -2.\nAnswer: -18042440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -b, -112*u + b = -109*u - 16. Let w(h) be the second derivative of -29*h + 1\/28*h**u - 12\/7*h**2 - 1\/7*h**3 + 0. Factor w(d).\nAnswer: 3*(d - 4)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15745 + 21095. What is the remainder when s is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5)*z*z\/(z*z\/(z*z*z\/z**(-9\/2)))*z)\/(z**6\/(z\/((z\/((z**(2\/9)*z)\/z))\/z*z))) assuming z is positive.\nAnswer: z**(299\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8848\/3 - 2948. Factor -4\/3*y**3 + 0*y**2 + n*y + 0.\nAnswer: -4*y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18080130673.88 - 0.4\nAnswer: 18080130673.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 0 - (6 + -1) - -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-232)\/(-60))\/((-8)\/(-10)). Let d = 5 - v. What is the nearest to 0 in d, 2\/5, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j**3 + 8*j**2 - 3*j - 30. Let m(c) = 69*c**3 - 36*c**2 + 16*c + 119. Give -2*m(x) - 9*v(x).\nAnswer: 15*x**3 - 5*x + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 215\/6*k**3 + 0 - 113\/60*k**5 + 0*k**4 + 0*k**6 + 0*k + 1\/210*k**7 - 45*k**2. What is the first derivative of l(v) wrt v?\nAnswer: 4*v**3 - 226*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12162 is divided by 468?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k*k*k*(k\/(k\/(k*k**(-6))))\/k*k)**19\/((k\/(k\/(k*k\/(k*k**(1\/2)*k)))*k)**(2\/49))**(-29) assuming k is positive.\nAnswer: k**(960\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 3*s = 90. Let w(n) = n + 5. Give w(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxxxxxe. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19830300 to the nearest 100000.\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -297\/20 in -2, -40, -0.3, 0.2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*y = 18, 2*x - 1 = x - 3*y. Suppose x*d - 4 = 16. Which is the nearest to 2\/7? (a) -1\/4 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*f - 190 = -5*w, 4*w + 3*f - 715 = 0. Let r = -179 + w. Let v = -0.12 + 0.12. What is the nearest to v in r, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9.68877 times 29\nAnswer: 280.97433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 - 214. Let c(y) = 34*y - 3. Let n be c(-1). Let z = n - b. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 24\/(-14) - (-506)\/(-1610)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 3*c + 11*c + 4*c - 2*c - c + (-2*c + 2*c - 4*c)*(-1 - 5 + 4) + c - 5*c + 3*c to v + q*c and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmrkh. Give prob of sequence krm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + (42 - 42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/((-76)\/16 + 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 20*q**2 - 14*q - 824 - 4*q - 4*q**4 + 828 - 7*q**3. Let h(s) = 3*s**4 + 7*s**3 - 19*s**2 + 17*s - 4. Let c(y) = -5*h(y) - 4*u(y). Factor c(d).\nAnswer: (d - 4)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 6*y**2 + 12. What is the remainder when 34 is divided by t(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*c + 4*d - 28 = 1039*c, 5*c + 29 = -6*d - 73 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260.63 - 3.63. Let q = -255 + w. Which is the fourth smallest value? (a) 1\/4 (b) 0.08 (c) q (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from sisiisissiesieisis.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8130 is divided by 185?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/4 + 3*x**3 - 4*x**2 + 2. Let u be s(8). Let q(i) = 7*i + u + 7 + i**3 + 7*i**2 - 7. Give q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 8\/20. Suppose t = 3*q - 4*c - 60, -4*c = -c. Calculate the remainder when q is divided by ((-21)\/(-3))\/(0 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + -10 + -25 - 85.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**5*v**2 - 11557*h**5 - 247*h*v**2 + 748*h wrt h?\nAnswer: -60*h**3*v**2 - 231140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6 = -0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 5*s + 5*s + 110*s**2 - 37*s**2 + 36*s**2 + (-2*s + 6*s - 3*s)*(-2 + 2 + 4*s) in the form m*s**2 + n + o*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + q**2 + q - q**2)*((-q + 3*q - 4*q)*(1 + 3 - 3) - 2*q - 4*q - q + 2 + q - 2).\nAnswer: -16*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1712639 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 + 3*c. Let i(b) = 2*b**2 - b. Let m(h) = 14*i(h) + 4*u(h). What is the second derivative of m(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0*c)\/c**1*(c**1*c)**(-2\/33))**(-24) assuming c is positive.\nAnswer: c**(-232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147771535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.366 + -1.966. Which is the third biggest value? (a) 0.3 (b) 0.07 (c) -1\/3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:09 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*s + 4 + 30 = 0, 0 = -3*s + 9. Let k be (-2)\/b - (-3)\/(-15). Let h = 0 - k. Solve -5*d - 2*t + 8 = h, d - 5 = t + 2*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -5.5. Put -4, 3, z in ascending order.\nAnswer: -4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.1. Let o = -1.8 - -1.7. Which is the nearest to o? (a) w (b) 0.3 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 13. Let g be n(21). Let b = -56 - g. Let p be -8*b\/(-2) - -9. Solve -4*l + p = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - 6c?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**3 + k**2 + 2. Give n(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -2 (b) -2\/15 (c) 0 (d) -1\/2 (e) -75\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 - 0.18. Let x = 14.24424368 - 14.014245. Let q = x - s. Round q to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43655*k**5 - k**3*p - 31884*k**2*p + 2*p wrt k.\nAnswer: 2619300*k**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 10\/5777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllllxxl. What is prob of sequence llxl?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 205.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 209079, 4, -5 in ascending order.\nAnswer: -5, -1, 4, 209079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 23*w - 17. Suppose -t - 4*p = -2, 0 = 2*t + 2*t + 2*p - 36. Is 53 a factor of h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8259575 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 195, 2, -2.\nAnswer: -2, 2, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131997?\nAnswer: 3, 23, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 418\/(-10) + 14\/(-70). Find the common denominator of (-1 - 4) + 141\/h and (60 - 1)*1\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o**5 + 8*o**3 - 8*o**3 + 0*o**5 - 2*o**5 + o**5 + (3*o**2 - 36*o**2 - 15*o**2)*(-3 + 3 + 2*o**3).\nAnswer: -85*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 11. Calculate the remainder when 58 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117005?\nAnswer: 5, 7, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4132 and 3505939.\nAnswer: 3510071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 94. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 948 - 76. Suppose 4*q = -4*t + x, 3*t + 5*q - 886 = -226. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3 + 2*y + 12 - 4*y. Let h be c(-3). Let k = 31 - h. Calculate the greatest common factor of 30 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4*o - 8*j**3*o + 3*j**3 + 26*j**2*o wrt j?\nAnswer: -24*j*o - 48*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/148 and -163\/157620.\nAnswer: 157620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8338, 8519, 8784, 9121, 9518?\nAnswer: 9963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.14, 0.2, 0.4, 54, 36\/49, -2?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*y - 24 = 0, j = -j - 4*y - 6. Let s = 19526 + -156145\/8. Which is bigger: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926.329695 rounded to 1 decimal place?\nAnswer: -926.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 e, and 1 a when three letters picked without replacement from {y: 1, j: 1, a: 1, e: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20853 - -20900. Let k(p) be the second derivative of 19\/2*p**2 + 0 - 13\/4*p**4 + 0*p**3 + s*p. Differentiate k(r) wrt r.\nAnswer: -78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 take away -3.547723?\nAnswer: -528.452277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 194, 444, 17\/4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b + b)*(4*b + 0*b - 3*b) - 46*b - 61*b - 51*b - 3090*b**3 + 158*b.\nAnswer: -3091*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 71\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 e, and 1 q when four letters picked without replacement from {u: 1, q: 4, e: 3, b: 1, k: 3, i: 6}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 + 3*c**5 + 3*c**5 + (0*c - 2*c + 5*c)*(c**4 + 0*c + 0*c) - 3*c**5 + 2*c**5 + 5*c**5.\nAnswer: 9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + (-4 - -2) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -15.5. Let y = 2.5 - u. Let b(l) = -2*l**2 - 39*l - 22. Let v be b(-19). What is the nearest to v in -4, y, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -8. Find the common denominator of 1180\/165 - (-2)\/k and 53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(12) - (sqrt(12) + (sqrt(12) - sqrt(12)*3)))*-6)\/((sqrt(600) - (sqrt(600) + 4*sqrt(600) + sqrt(600) + sqrt(600)))*-4 - sqrt(600)).\nAnswer: -24*sqrt(2)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-1558)\/2*(-6)\/(-9)*(-90)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -34*s**2 + 38*s + 144. What is h(6)?\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/132 and -91\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 317, 356, 381, 386, 365, 312, 221?\n\"Answer: -m**3 - m**2 + 49*m + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 43*j**2 + 53*j + 349. Is g(-28) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -119978\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**4 + 2*g**3 - 2*g + 5. Let a(m) = -13*m**4 + 9*m**3 - 9*m + 20. Let r(p) = 2*a(p) - 9*d(p). Differentiate r(v) wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w. Let q = -70 + 99. Suppose -5*y + q + 21 = w. Calculate the least common multiple of 18 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 307 in 2, 1\/6, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20*(14\/(-4) - -4). Let j be t\/(-45) - 230573\/72. Let w = 3213 + j. What is the common denominator of 119\/12 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1668311800 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251 + 125. Let z = w + 84. Let q = 40.8 + z. What is q rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -0.2 (c) -206 (d) 56823\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 + 2*w - 5. Let i be f(-4). What are the prime factors of (-88)\/(-4) - i\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 5 + 5)*(0*v - v**2 + 0*v) + 0*v - v**4 + 0*v - 19*v**4 - 2*v**4 - 32*v**4.\nAnswer: -51*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + (-13)\/((-52)\/552). Find the common denominator of ((-342)\/(-64))\/(195\/t) and 59\/74.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(7)*1*-1.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 68870298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.53 + -0.47. Let a = 0 + -6. Let c = -3 - a. Put 4, c, r in decreasing order.\nAnswer: 4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 2. Let a be b(4). Let z = a + 2. Solve 3*l - 6 = -3*v, 6*v + z*l + 1 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*v**4 + 2095028*v**2 + 8*v + 7025265 wrt v?\nAnswer: -936*v**2 + 4190056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = 0. Let t = 1209\/7 - 173. Which is the nearest to t? (a) 5 (b) -2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 - 22*u**2 + 6*u + 14. Calculate b(6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 4 - 3) + (0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*a - 48 = -4*k, a = -2*k + 19. Let m be 11\/k + 3 - 4. Sort 4, m, 0.4 in decreasing order.\nAnswer: 4, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.932 - -81.759. What is l rounded to zero decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6 - 138\/4. Let o be b\/6 - 2\/6. What is the common denominator of -49\/6 and 62\/(-24) + (-4)\/o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.13, -0.222?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12568541, -0.4, -0.2 in ascending order.\nAnswer: -0.4, -0.2, 12568541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033223 + -2000220?\nAnswer: -300331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.025 + -0.05. Let t = -0.1 - o. Let x = t - -0.0863. What is x rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 7 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 41 - 4*j - 2 - 6. Let i be m(8). Suppose 0 = -4*f + 17 - i. What is the remainder when 5 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 7*u + 7. Give v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5966 and 400978?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15083744 is divided by 3770917?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2613.099 - -41.801. What is i rounded to the nearest 10?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 36 - 18 = 2*y, 5*h = -4*y - 72 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 1, e: 1, s: 1, c: 3}. Give prob of sequence zecs.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77143 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*w = -0*m + 9, -3*m - 4*w - 12 = 0. Suppose 0 = -4*v + 3*p + 981, -v + 5*p + 161 + 63 = m. Is v\/(-1)*-1 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (675\/(-18))\/(3\/(-4)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7. What is the common denominator of 2 - d\/(14\/(-69)) and -71\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20253220909 + -7358440727108463\/363322. Let m = -4\/3079 + p. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -h + 182, 5*h - 879 - 47 = -3*c. What is the greatest common divisor of h and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1043 by 1043.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -2, 2, -89, -0.1.\nAnswer: -89, -2, -0.1, -2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.6314 - -0.0686. Which is bigger: 2\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53*33\/1749)\/((-3)\/141)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 153 = -95*r + 6*b, -7*r + b + 2*b = -60 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -43*u**2 + 2*u + 1. Let j be i(3). What is the hundreds digit of (-14)\/21 - (j\/3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4458 - -4461. Sort 5, -4, -6, 1, a.\nAnswer: -6, -4, 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 234, 410, 572, 714, 830, 914?\n\"Answer: -d**3 - d**2 + 186*d + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 672 - -997. List the prime factors of v.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 5. Let r be j(3). Suppose 0*w - 1 = -w. Let k be (w - r)*-2 + 232. What is the highest common factor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d61 + 5?\nAnswer: 1d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 695992 divided by -88?\nAnswer: -7909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 4 - 34 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*h + 124*h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304 (base 5) in base 12?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6*u**2 - 1\/3*u**4 - 20\/3*u - 7\/3*u**3 - 8\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-28)\/(-24))\/(-7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - ((-9 - -14) + -7) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 7, j: 2, u: 4}. What is prob of sequence uj?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -5*z**3\/6 + 3*z**2\/2 - 2*z. Let n be a(-7). Suppose -3*y = -5*k - n, -k + 10 = 5*y + 4*k. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -22, 5, -1 in decreasing order.\nAnswer: 5, 3, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 2, l: 1, u: 6}. What is prob of sequence ul?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -22.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.152 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -262775.83098498?\nAnswer: -262773.83098498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37948471, 37948473, 37948475, 37948477?\n\"Answer: 2*q + 37948469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -204 (c) 1\/9 (d) -5 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/11, -0.4, 1\/3, -5, 486, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/106 and (-325)\/(-50) - 2\/6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/10 + 13043*j**2\/10 + 4252344*j - 21268242\/5 = 0. Calculate j.\nAnswer: -6522, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-10))\/11*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-3)\/(-15))\/(11\/5390) and 336.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (424\/6678)\/(48\/162).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 519 and 8664.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3\/3 + 204. Let c(s) = 1. Let i(g) = 9*g + 1. Let q(j) = c(j) - i(j). Determine n(q(m)).\nAnswer: -81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 + 3*j**3)*(3*j + 3*j - 5*j) + (3 + 8 - 3)*(4 - j**4 - 4).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/4*(-135)\/(-72)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/12*2\/(-10). Sort 4, d, -1 in ascending order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = 5*z. Which is the second biggest value? (a) -1\/3 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94467 and 703.4.\nAnswer: 66448087.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2122913 by 2.\nAnswer: -2122913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-4)*36\/30)\/(1 + -2). Let j(u) be the first derivative of -u**2 - 4\/3*u**3 + 1\/4*u**4 - g*u + 20. Give j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3\/7 - 132*j**2 + 1840*j\/7 = 0.\nAnswer: 0, 2, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328493477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-5 - (3 + 0))) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 + 104 = 14*c. Let z be -2*((8 - 5) + c\/(-4)). Solve 2*g + 7 = z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = 3*j - 11, -4*j + m = -18. Sort 3, 1, j, -1 in decreasing order.\nAnswer: j, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2554 - 2553.73. What is the closest to -2 in l, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 + 164. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q + 630 = 0. Let m be (-158)\/8 - 1\/4. Is 1\/4 - q\/m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -339749 - -111113.8.\nAnswer: -228635.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11911671?\nAnswer: 3, 89, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 37*t = 6*t + 260. Let r(k) = k + 6. Let l be r(-4). Sort l, t, 10, -1 in increasing order.\nAnswer: -1, l, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404 - 195 = -316*b - 687 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5872 + 397 = 0. Calculate the greatest common factor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 33*l**3 - 3*l**2 - 3*l - 3. Let i be u(4). Suppose 11*v = -i + 7252. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 836*y + 24*y**2 - 12 + y**3 - 2*y**3 - 9 - 857*y. Give x(23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(208))*-5)**2 + -3)*1.\nAnswer: 400*sqrt(13) + 5297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**4*u + 11418*q**4 - 4*q**3*u - q**2*u - 19*q**2 - 8*q*u + 32*q wrt q?\nAnswer: -96*q*u + 274032*q - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 0*i**4 + i**4)*(-i - i - i) + 5*i**5 - 2*i**5 + 3*i**5.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -5, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 8:30 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/20 + 3*t**4\/4 - 11*t**3\/6 + 5*t**2 - 3*t. Suppose -40 = -4*q + 8*q. Is u(q) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) + -3 + 3. Which is the closest to 2? (a) -1 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/20 + 13*c**4\/12 - 2*c**3\/3 - 7*c**2\/2 - 153*c. What are the prime factors of t(8)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 73.29221 kilometers?\nAnswer: 73292.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*t**3 + 7*t**2 + 354.\nAnswer: -330*t**2 + 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0417*1065.\nAnswer: -44.4105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4\/3 - 2080456*f**3\/3 + 120230708048*f**2 - 20844758545018936*f\/3 + 20844397854975244\/3 = 0.\nAnswer: 1, 173371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose -3*g = g - 20. Solve -g*j = -t - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156372289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188622 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -530*x + 537*x + 40, -2*x = r + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*l - 240 = 298*l. Solve 0 = p - l*p + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -308, -691, -1226, -1913, -2752?\nAnswer: -3743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 - 47*j - 45. Calculate q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/45 - -2\/9. Let r = -0.068 + 0.048. Which is the second biggest value? (a) i (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, 0.01, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -39 and -161\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 - 80. Suppose -2*z + o = z. What is the least common multiple of (-8)\/(-2 - (-8)\/5) and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/5 (b) -2\/5 (c) 835\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1))\/((-7)\/105). Let q = 11 + m. Let k = 1 + q. Sort -5, k, 3, 0.\nAnswer: -5, k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1577 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5303517 - -5.\nAnswer: -5303512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 115\/(-20))\/(156\/48 + -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-3)*(-14)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4413, 8862, 13301, 17724, 22125?\nAnswer: 26498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583 - 583 + 180*i.\nAnswer: 180*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224.75 - -4.75. Let f = u + 220.101. Round f to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2935534 divided by 209681\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 1 k when three letters picked without replacement from drrrlkdbljd.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 1 = -47. Let r be (-14)\/u - 1\/(-4). Solve -9 = r*i - 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110718061.\nAnswer: 110718061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2879 + 911. What are the prime factors of x?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016594 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2534672, -5069348, -7604024, -10138700, -12673376?\n\"Answer: -2534676*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-68)*((11 - -4) + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14249 * -3.\nAnswer: 42747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.2 (b) 6 (c) 4.25 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 21, 45, 79, 123?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 232\/5*x - 2\/5*x**2 - 46 = 0. What is x?\nAnswer: 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Solve 2*t = -4*d - 6, -2*d = i*d - 3*t + 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4. Let h be d(4). Calculate the highest common factor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -7*x**5\/60 - x**2. Let u(f) = 6*f**2 + 3*f. Let b(k) = k**2 + k. Let h(t) = -3*b(t) + u(t). Give h(j(n)).\nAnswer: 147*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1622 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 23, 2790, 0.6 in ascending order.\nAnswer: -0.4, 0.6, 23, 2790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(-9\/5))**(-48) assuming o is positive.\nAnswer: o**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4+2712621684\nAnswer: 2712621688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5387911 is divided by 173.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117359687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.059195 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -293035613 + 2233\nAnswer: -293033380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3)*((-25)\/44 + -2). Let y = 11\/4 + w. Let m = -1944\/11 + 177. What is the second smallest value in y, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48365796 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9791*n**3 + 10*n**4 + 9791*n**3 + (0*n + 0*n + 2*n**4)*(4 - 1 - 1) + 0*n**4 - n**4 - n**4.\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 10*c - 2. What is n(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b74b (base 12) to base 5.\nAnswer: 2301221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27e9 (base 16) in base 13?\nAnswer: 485c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 148 = 4*s - 0*s, 0 = 2*n - 5*s - 74. Suppose 4*g = -a + n, -4*g + 10 + 21 = -5*a. What is the highest common divisor of 63 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itsi when four letters picked without replacement from iiisitsibtsistt.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 3, -89, -271, -573, -1025?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 3*c. Suppose -5*s - 4 = -s, 2*s = -c*j + 23. Suppose -10 = -j*b - 0*b. Solve -l = b*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 31 = 4*m, 3*m - 27 = -2*u + 3*u. Suppose m*o - 10 = 5*o. Differentiate 62*h - 59*h + o - 1 with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:17 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/9))\/j*(j*(j**(-5)\/j)\/j)\/j)**(-37) assuming j is positive.\nAnswer: j**(2405\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -80, -325, -804, -1595, -2776, -4425, -6620?\nAnswer: -9439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03041 and -2.\nAnswer: 0.06082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*v**2 + 11*v + 3*v - 93*v**2 + 4 + v**2 - 4 + 1 - 2*v**2 - 1 + (v + 2*v - v)*(2*v + v - v).\nAnswer: 4*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92594 and 31786?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 3395179057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l + 845. Let y be v(-39). Factor y + 2\/13*f**2 - 4*f.\nAnswer: 2*(f - 13)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -774824092.4 rounded to the nearest one hundred thousand?\nAnswer: -774800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 - 9386 + 1444)*(-5*t + 2*t + 2*t).\nAnswer: 8124*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*-4*6\/(-6). Solve z = 7*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 503*4\/2016 + (-244)\/(-427) and -89\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640831 is divided by 431.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376 + 189. Let x = 468 + v. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/2 - r**2\/2 - 77*r + 68. Differentiate x(t) wrt t.\nAnswer: -6*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64604311, 64604308, 64604305, 64604302, 64604299, 64604296?\nAnswer: 64604293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7683491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-133)\/(-35) + -4)*4\/(-2). Let x = 280 - 295.9. Let n = -16 - x. What is the nearest to t in 2\/11, n, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14051, 27949, 41857, 55781, 69727, 83701, 97709?\n\"Answer: r**3 - r**2 + 13894*r + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-7\/4))**(-13))**(1\/13))**(-10\/9) assuming u is positive.\nAnswer: u**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 - 103*m**2 + 1295*m - 4361 = 0. Calculate m.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/20 - -13) + 42\/15.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (-35 + 40)) + (-34 - 0 - 9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, t: 3, v: 5}. What is prob of sequence tj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1117798.1 to the nearest ten thousand.\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1214 - -222?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z - 10*y + 5*y, 2*z - 52 = 5*y. Calculate the greatest common divisor of 12 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = -11. Let t(x) = 14*x**2 - 1. Determine t(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-84)\/98*(-2)\/(-32)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/3 - 1726*g**2\/3 + 26372*g\/3 + 28096\/3 = 0. Calculate g.\nAnswer: -878, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 17*b - 14 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4023816 divided by -24\nAnswer: 167659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4105290099 + 3.\nAnswer: 2.5894709901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22a - -6aa9?\nAnswer: 7006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 401*z**2 + 12*z + 29. Is p(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 938482 (base 12) to base 10\nAnswer: 2316194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/8 (b) 0.15 (c) -17 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25202113423 - -5?\nAnswer: -25202113414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 0. Let g = -13.00008 - c. Round g to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 96*o**2 + 25*o + 137. Is 11 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24797 or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 584493 or 584492?\nAnswer: 584493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*f + f + 5, -3*f - 1 = 5*t. Let l = f - -2. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/2957721 and -29\/21.\nAnswer: 20704047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**4 + 7*c**4 - 17 + 14*c**3 - 15*c**3 - 3*c - 13*c**2 in the form d*c**3 + z + l*c**2 + v*c + m*c**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*h**4 - 4*a**3*h + 300*a*h**4 - 20*a*h - 12*h wrt h?\nAnswer: 12*a**3*h**2 + 3600*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19946 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -15*n**3 - 8*n**2 + 23*n + 11. Let v(d) = -2*d**2 + 6*d + 52 - 35 - 14 - 4*d**3. Let s(c) = -6*l(c) + 22*v(c). Factor s(g).\nAnswer: 2*g*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 809051227 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 8*h - 8. Let f(l) = -l - 1. Calculate 24*f(t) - 3*q(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1) - (27 + -10). Let f = -19 - o. Let v be (-58)\/(-18) + f\/9. Solve 0 = g + v*w + 8, 6*g = 3*g + 2*w + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:44 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 36, -92 in increasing order.\nAnswer: -92, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47332850 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + -10 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3855 = -5*z, 2*d - 6*d - 3068 = -4*z. Let q = z - 764. What is the smallest value in -5, q, 1.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -61 (b) 0.4 (c) -0.9 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-8) + 6\/12. Let o be (-2 - -2)\/(6\/(-3)). Suppose o = 16*a - 13*a - 6. Sort m, a, 7, -5.\nAnswer: -5, m, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095858?\nAnswer: 2, 3, 23, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 22 = -7*g. Suppose -g*k = -4*k - 21. Which is the nearest to 0? (a) 1\/2 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapawpwaapnfaa. Give prob of picking 1 w and 1 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -5. Suppose -4*z - z = r*g, -z = 5*g. Suppose 5*y + z*y = 150. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 - 101?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/(4*5\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-18)*-6*-3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*t - 1 = -16, t = -3. Suppose 3*k + 0*g - r*g - 39 = 0, -g = -3. Solve 0 = 5*u - k + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a century?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.7 + 0.3. Let x = s + -13.9999843. What is x rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 252*r**2 + 717*r - 59658. Calculate q(-121).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6871*y + 3285*y + 3579*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/3*(-892)\/(-4683)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2751398137?\nAnswer: 353, 7794329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 7. Calculate the greatest common divisor of x and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135822*g**2 - 2 + 70997*g**2 + 64822*g**2.\nAnswer: -3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.96416 from 1.7.\nAnswer: -21.26416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -0.46. Suppose 2*v = 3*l - 25, -v - 2*l = 3*v + 10. Let f be v*((-40)\/175)\/(-4). Is d less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59\/12 + 14\/3. Which is the nearest to 0? (a) l (b) -4\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 128*z + 1226. Let i be d(-50). Suppose 72 = 3*q + q. Calculate the highest common divisor of i and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*3)\/((4*sqrt(132))\/sqrt(12)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtw when three letters picked without replacement from wtwwwtj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**2 - 7*x - 7. Let w(n) = 7*n**2 - 6*n - 6. Let d(v) = -7*w(v) + 6*y(v). Let s = 5 - 3. Let m(q) = -4*q**2 + 4*q**2 - q**s. Calculate m(d(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290791 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -41*b + 30. Let d be ((13 - 13)\/5)\/(1 + b). Let d*j + 2\/19 - 2\/19*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67496128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 172 = -200 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*5\/(-20) - -2. Find the second derivative of 5*i - 2*i**4 + i**4 - i**4 + 4 - 12*i**s + 2*i**2 wrt i.\nAnswer: -24*i**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i + 1875 - 1 = -2300 - 722 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1011010110110001001 (base 2) to base 6\nAnswer: 11550413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gis when three letters picked without replacement from wciwgsz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + 4\/6. Let r = p + -3\/2. Let v = 19 - 19.3. What is the second smallest value in v, -6, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, b: 4}. Give prob of picking 4 b.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3)*(31 - 3). Let b be 2\/1 + 3 + z. Suppose -4*q + b - 8 = h, 2*q - 2 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*c - 375 - 82, 0 = 4*a + 2*c - 902. Suppose -12*u + 768 = -4*u. Calculate the greatest common divisor of u and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 12*w**2 + 13*w - 13. Let s be h(11). What is the units digit of -9 + s - 7*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321032110 + -10?\nAnswer: 1321032100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. What is the second derivative of 0*v + 6*v - 3*v - 2*v - 5*v**r wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182 (base 15) to base 11.\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 31*s + 405. Let f be i(-13). Let h(b) = -b**3 - 7*b**2 - 4*b + 4. Let r be h(-6). Let n = r + 12. Put f, 1, n in descending order.\nAnswer: n, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*s - s. Let i = 91 + -90. Suppose -5*x + 5 = 2*u - 2*x, s*x = 3*u - i. Do u and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g. Determine i(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6516)\/905)\/((-27)\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.01 + 0.01. Let d = -0.2 + -4.8. Let g = d + 4.8. What is the nearest to 0 in g, 4, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3\/2 - 13530*m**2 - 30510150*m = 0. What is m?\nAnswer: -4510, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33187 - -33184. Let i be (2\/2)\/((-1)\/(-8)). What is the closest to i in 2\/15, -0.9, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 158?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 1, v: 2, d: 1}. What is prob of picking 1 d, 1 h, 1 r, and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) -6\/5 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + p + 0)*(-6*p + 6*p + 15*p**4) + (3 - 4 + 3)*(3*p**5 - 2*p**5 + 0*p**5).\nAnswer: 17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:39 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 592496.\nAnswer: 1184992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 5*sqrt(40)\/sqrt(2))\/(sqrt(44)\/(sqrt(11) + sqrt(99))).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 22 - 4*v**2 + 3*v**2 + 15*v - 5. Suppose 48 = u + 2*u. Let k be f(u). Sort -3, k, -4 in descending order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74472385*x**5 + 101046472*x?\nAnswer: 1489447700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 81, -1\/2, -2\/11.\nAnswer: -4, -1\/2, -2\/11, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5513 is divided by 100.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {u: 9, p: 1, o: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4245 divided by 1.\nAnswer: -4245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -56 (b) 1 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 105358\/1351?\nAnswer: 105358\/1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**2 - 160*m - 54 = 0. Calculate m.\nAnswer: -1\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-48)\/(-9) + -2. Suppose 5*v = 52 + 3. Suppose -3*i = -v - 4. Solve 0 = i*n + m - 16, -2*m = 5*n - n - s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -4 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781794 = -11781*n - 54657 for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 348100, 696384, 1044668, 1392952, 1741236?\n\"Answer: 348284*v - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/127 + 1149\/254. Let m = 2\/943 + -82045\/1886. Calculate the common denominator of m and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558033 plus -5?\nAnswer: -558038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - j + 2 = 0, 21*h - 8 = 26*h - j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*w + 3*k, 3*k + 15 = w + 13. Let v(m) = 2*m**2 - 9*m - 1. Let a(r) = -3*r**2 + 9*r. Let g(s) = -3*a(s) - 4*v(s). Is 14 a factor of g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {l: 2, j: 1, r: 6, h: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 0*j)*(2 + 0 + 0)*(-3 - 1 + 6)*(2*j**4 + j**2 - j**2) - 3*j**5 - 4*j**3 + 4*j**3 + (-2*j**2 + j**4 + 2*j**2)*(-j - 4*j + 4*j).\nAnswer: -36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4 (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 63 + 12 + 39 + 12.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 - h**2 + 6*h**2 + 0*h**2 + 432 in the form b*h + i + g*h**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-215)\/(-3612)*14\/30)\/(10\/(-4)).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/3))**(-3\/11)\/(w\/(w**(2\/3)*w))**23*((w**(-1))**49)**30 assuming w is positive.\nAnswer: w**(-48016\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.464073 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -21*a - 1. Let z be q(-1). Let g = -30 - -87. Let d = g - z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1\/2 - 0). Let v = s - -1. Solve r + v - 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 32*m - 20. What are the prime factors of r(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*t - 18, -2*j + 2*t + 363616 = 363636 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7796 divided by -1004.\nAnswer: 1949\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + d - 16 = 0, -2*n + 4*d = 31 - 57 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 35*y + 71. Let t be a(-15). Let s = t + 3. Let r be (1\/(-2))\/((-13)\/1). Which is greater: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -276133, -276211, -276343, -276529, -276769, -277063, -277411?\n\"Answer: -27*n**2 + 3*n - 276109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 24 = y - 6*y, -21 = -4*y + 3*b. Factor -n**y + 1\/2*n**5 + 0 + 0*n**2 + 0*n**4 + 1\/2*n.\nAnswer: n*(n - 1)**2*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7*y = 3*y + 344, 0 = 2*w + y - 236. Suppose -4*u - u + w = 0. Let a = u + 33. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 16. Let a = p - 9. Which is smaller: a or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80550\/6265)\/(171\/(-1330))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -738 - -9611288789.\nAnswer: 9611288051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1 - 16*n - 6 to v*n + d and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-3)*(-128784)\/(-13415)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 67*x - 146*x = -40*x - 14820 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*q = 41, 3*k - 5*q = -0*q + 37. Suppose 17*c = 14*c + 5*t + 891, 5*c - t - 1485 = 0. Suppose 0 = -s + 4*m + c, m = -4*s - k*m + 1167. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 36. Which is the nearest to o? (a) 4 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 3*p**3 - 2*p**3 + (-4*p**2 + p**2 + 2*p**2)*(-2*p + 3*p + p) - p**3 + 3*p**3 + p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 47*m + 156. What is g(0)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 e when three letters picked without replacement from {i: 1, e: 3, m: 5, y: 3, a: 3, o: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**3\/3 - 6*u**2 - 10*u. List the prime factors of w(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**5*d*d\/(d*((d**25\/d)\/d)\/d*d*d*d))\/(d\/(d\/(d*d*d**0*d)))**(-1\/6) assuming d is positive.\nAnswer: d**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 826843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4410 divided by -49\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93920, -377210, -849364, -1510382, -2360264, -3399010, -4626620?\nAnswer: -6043094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5641.8 - -4264406.\nAnswer: 4270047.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -89?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 + 13 = -2*x - 5*g, -3*x + 4*g = -107. What is the remainder when x is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 886, 1919, 2966, 4027?\n\"Answer: 7*r**2 + 1012*r - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.124 + 0.324. Which is the nearest to 2\/5? (a) 5 (b) t (c) -29 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -53 + 96 - 83\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/4 + 7*d**2\/4 + 34*d + 32 = 0. What is d?\nAnswer: -8, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 222587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/223 and 47\/118400.\nAnswer: 26403200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9616499 and 3.\nAnswer: -28849497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2)*5 + 2)**2*4.\nAnswer: 480*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/(15\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 15*d**2 - 12*d - 12. Let y(l) = -l**2 + l + 1. What is k(r) + 12*y(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 5*c + 7*c**2 - 5*c**2 - 1. Let m be q(6). Suppose -m*d = -3*d - 106. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auuitlkk. Give prob of picking 1 i, 1 k, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.14 - -0.14. What is the second smallest value in -0.1, 0.07, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.4 (c) 5 (d) -88 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 298*l**2 + 57*l - 293*l**2 + 73*l - 600 = 0.\nAnswer: -30, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -463 or -1849\/4?\nAnswer: -1849\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 109 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 666337717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 28. Let o be l(12). Solve -15 = -5*t - 4*h, 3*h - o = -4*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 7573 - 7165. Solve 104 + t = -32*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-38))\/(138\/(-92))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868.971 months to years.\nAnswer: 72.41425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 2*m - 10, -20*j + 26*j + m + 27 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*j**3 - 174\/7*j**2 + 5400\/7 + 2340\/7*j.\nAnswer: 3*(j - 30)**2*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 27*b - 92 + 1158 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 32*s - 400. What are the prime factors of w(29)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90361951 to the nearest integer?\nAnswer: 9506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 14*u - 3. Let r be f(2). Let g be (1 - 1) + -7*300\/(-84). Is g at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7 + 1 = t, -8 = -4*t + 4*g. Let s be 39*4\/12 + t. Is 3 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/2 - 29725*s**2. Let w(k) = k**2 + 3*k - 3*k. Give w(i(q)).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3564700 and 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -35. Suppose -4*v + 2*v + 20 = 4*n, -4*n + 32 = 5*v. Solve u*k = -3*y - n, 3 = -y - 0*y - 2*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/9)\/(1*(-25)\/45). Put 1248, 2\/9, i in descending order.\nAnswer: 1248, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 227*s**2 - 18*s - 4083. What is g(-227)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 + -217. Solve 4*p - 14 = u, p + 5 = 5*u - m*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96.4 + 100. Let q = f - 1.6. Which is the third biggest value? (a) 2\/7 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3055550 and 1150?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a - -4fa90?\nAnswer: 4fa56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 4*o - 2302 = -2320, -3*o = 4*b + 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28936.\nAnswer: 2, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*z - 22 - 8, 4*i - 21 = -z. Let o be 3*z + (-25 - -4). Let x be (o\/(-60))\/(2\/5). Which is the nearest to 2? (a) -1\/3 (b) 6\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-144)*-4*(-15)\/(1050\/(-40))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1016 - 688 + 105*w**5 + 240*w**6 - 107*w**5 - 5*w**2 + 6*w**2 - 43*w**6 wrt w.\nAnswer: 23640*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284302 is divided by 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/80)\/(-19)*-56?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454667.\nAnswer: 307, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3, 14, 2\/3, -2\/13 in descending order.\nAnswer: 19, 14, 2\/3, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 277 = t - 70, 0 = 2*w + 6. Let d be 4\/30 - (-238)\/t. List the prime factors of (28 - 3) + (1 - d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32199807.\nAnswer: 3, 10733269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.4, -5, -1.2, -8\/995.\nAnswer: -6.4, -5, -1.2, -8\/995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83692 and 6832?\nAnswer: 334768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 258*m - 773. Let h be b(3). Is h smaller than -1\/7211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1190 - 1292.9. Let x = -1.9 - h. Let t = 98 - x. Sort 4, 0.3, t.\nAnswer: t, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131882 and 1472.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652.772733 rounded to the nearest 10?\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -1\/5, -5, -3\/4 in increasing order.\nAnswer: -5, -3\/4, -1\/5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -1\/4*j**4 + 0 + 0*j**3 - 5*j**2 - 5*j. Let f(g) = 3*g**2. Give x(f(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0*i**2 + 0 - 1\/6*i**4 + 4*i + 0*i**3. Let h(s) = -3*s. Let v(j) = -6*j. Let o(r) = -6*h(r) + 4*v(r). Calculate o(d(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 11:37 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**3\/6 + 13*j**2\/2 - 3*j + 10. Determine u(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113101220331 (base 4) to base 8.\nAnswer: -27215075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - z = -0*z - 26, 0 = -3*z - 6. Let m(c) = -3*c - 5. Let j be m(s). Let f = 27 + j. Solve f = -2*l - t, -4 = l - 3*l - 2*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 1. Let t(c) = -10*c + 3. Let p = -1319 + 1327. Determine p*z(k) + 3*t(k).\nAnswer: -6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -274784 = -12378*c + 800868 - 196814 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 4. Suppose -4*s = -z*g + 40484, 2*s - 22567 - 4441 = -2*g. What is g rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -29?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -2*(-2929)\/16 - 14\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1781*k**2*p**2*s**2 + 57*k**2*s**2 - 2*k**2*s - k**2 + 58*k*p - 5495*p**2*s**2 + 3*p - 12*s**2 wrt p.\nAnswer: 3562*k**2*s**2 - 10990*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.1957mm to centimeters.\nAnswer: 35.11957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270.92 - 115. Let l = z + -166. Round l to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s - 1. Let k = 7 - 2. Suppose -k*t - 1 = 2*q - 4*q, t + 11 = 4*q. Is w(q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/3, 3\/8, -9\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 10. Suppose 4*a = -4*w + 252, -a - 3 - y = 0. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 26 = 5*l, 0*l = -l - 2. Let f = 3 + k. Let u be 3 + f + 3 + 3. Solve 2*o - 25 = -u*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**2*h**3 - a**2*h**2 + 9*a**2*h - 2*a**2 - a*h - a - 12720*h**3 - 1640*h wrt h?\nAnswer: 48*a**2*h - 2*a**2 - 76320*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-2)\/sqrt(7) - sqrt(3) - (sqrt(3) - sqrt(108)*-1)) + -1*(sqrt(12) + 1).\nAnswer: -12*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2077 = 25*a + 4*y + 1327, -5*a = y - 150 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 65*z**2 - 50*z + 126. Determine k(33).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11428*j**3*t**2 + 12*j**3*t + 99*j**2*t**2 + 2876*t wrt j.\nAnswer: 68568*t**2 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.3 (c) 26\/9 (d) -2\/7 (e) 2\/3 (f) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r - 1. Let v(k) = -111*k + 33. Let o(n) = -29*q(n) - 2*v(n). Determine o(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 211190063 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -22 + -2 + 42\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00574311 rounded to five dps?\nAnswer: 0.00574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2049, 4093, 6135, 8175?\n\"Answer: -n**2 + 2047*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -11 - (5 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179\/(-40) + (-1520)\/800?\nAnswer: -51\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 56\/19*c - 120\/19*c**3 - 108\/19*c**2 + 50\/19*c**4 - 6\/19 = 0. What is c?\nAnswer: -1, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 72. Sort 2, t, 1, -5 in increasing order.\nAnswer: -5, 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(30*(-110)\/52140).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 40 = -5*f, 11 = -2*f - 3*u + 30. Let a = 4105 - 3892. Suppose -2*n - f*h = -a, 5*h + 9 = 8*h. Is 33 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*z - 2*z + 3*z - 2*z + (0 - 1 - 1)*(2*z - 3*z + 3*z) + 71 + 8*z - 71.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9199 = 273*i + 4210 - 688 + 4751 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-11) + ((-85)\/51)\/((-10)\/(-36))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24831 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -198*x**4 - 88898*x**3 - 1942564*x**2 - 1816376*x + 37488 = 0.\nAnswer: -426, -22, -1, 2\/99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 46. What is the tens digit of 123\/(q*5\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + sqrt(1539) + -6*sqrt(1539)*-2 - (6*sqrt(1539)*-1 + 2))*-1)**2.\nAnswer: -1368*sqrt(19) + 555595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21838, 21689, 21288, 20509, 19226, 17313?\nAnswer: 14644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1342*k - 1155*k + 1378*k + 239*k + 1330*k to the form g*k + u and give g.\nAnswer: 3134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.49 and 0.0259?\nAnswer: -0.375291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11524 take away 1?\nAnswer: 11523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/7 (b) 83 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*p - 9822. Let i = p - -2515. What is the remainder when 38 is divided by i\/38 - 6\/57?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 422*m**6 + m**5 - 183*m**3 + 3*m**2 - 318641*m - 2?\nAnswer: 50640*m**3 + 60*m**2 - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15532517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -2 + (-2)\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 42*l**2 - l - 7. What is x(4)?\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l - 22. Let m be v(3). Let z(y) = 38*y**2 + 2*y + 3. Is z(m) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 + l**2 + 12*l**2 to the form v*l + n*l**2 + u and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 407184*g**2 + 4071540*g + 10178600.\nAnswer: 4*(g + 5)**2*(g + 101786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1684274.\nAnswer: 2, 19, 127, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8.7 + -5528553706\nAnswer: -5528553714.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-2)**2 - sqrt(500)) + 2 + (-1*(-1 + sqrt(500)))**2 + sqrt(500).\nAnswer: -20*sqrt(5) + 2503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 22, 26, 22, 4, -34, -98?\n\"Answer: -p**3 + 5*p**2 - 2*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Suppose -4*m = 2*f - 2 - 8, 5*f - m - h = 0. Suppose 0 = -i + f, 4*y - 3*i = 7 + 26. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 702*m - 4*m**2 + 0*m**2 - 668*m + 4*m**2 - 3*m**2 - 2*m**2 + (-2 + 6 - 2)*(2*m**2 + 0*m**2 + 0*m**2) - 6 - m**2 + 6.\nAnswer: -2*m**2 + 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133105, -266213, -399323, -532435, -665549, -798665?\nAnswer: -931783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r + 53. Let b be i(-6). Let t(c) = 16*c - 9. Let v(y) = -15*y + 8. Let a(m) = b*t(m) - 6*v(m). What is the derivative of a(z) wrt z?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*m - 2, -2*m - 2*m = -5*g + 16. What is the tens digit of 8\/(4\/(-18) + (-3)\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - l**2 + l - 1. Let p(r) = 10*r**2 - 5*r + r**3 + 4 - 5*r**2 + 2*r**3. Determine -5*c(v) - p(v).\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1608 + 0.0392. What is the second biggest value in -1\/36, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -37. Is 0 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {j: 1, q: 1, b: 1, u: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 950264208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21790*r + 14582*r + 18133*r + 6*r - 15298*r in the form b*r + o and give b.\nAnswer: 39213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 1 - 8*h**2 + 8*h**2 + h**3 - 2. Let j be g(0). Let n(z) be the third derivative of z**4\/4 + z**2. What is n(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530 + -318. List the prime factors of q.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116905376 and 25051152?\nAnswer: 350716128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*w - 4*w. Let m be 18\/w*(-20)\/(-3). Suppose f + f - m = 0. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1102 (b) -5 (c) -2 (d) -3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h**2 - 25 + 30563*h - 30563*h)*(-h + 1 + 0 + 0).\nAnswer: 15*h**3 - 15*h**2 + 25*h - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7090.2033 + 7093.1. What is g rounded to two dps?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5662 + 5668. What is the third smallest value in 0.0223, -3, y?\nAnswer: 0.0223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = j + q, 2*q = -0*j - 5*j - 25. Let f = 59 + -65. Sort f, 1, j in decreasing order.\nAnswer: 1, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 51. Let p be 6\/33 + (-41)\/r. Let t = -0.1 + -0.4. Sort t, 0.5, p.\nAnswer: p, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 5*f**3\/3 - 11*f - 112. Let l(k) = -54*k**2 + 110*k**2 - 57*k**2 + 2. Let u be (1 - 7\/5)*-55. Determine u*l(s) + 4*b(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 212 = u. Suppose -2*d = -216 - u. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (-2)\/((-8)\/(-28)). List the prime factors of (2 + c + 35\/(-14))*126.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 4 = 0. Suppose y*l + 30 = -2*l. Find the common denominator of ((-53)\/l)\/(96\/20) and 101\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + v - 19 = 0, 0*z - 5*v = -2*z + 9. What is the remainder when 21 is divided by 2*48\/(-4)*4\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 5*l + 6, 18 = 3*i - 3*l. Let x(w) be the second derivative of 8\/7*w**3 + 9\/7*w**2 + 8\/21*w**i + 0 + 16*w. Solve x(m) = 0 for m.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5074800257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 257 - 0.07381.\nAnswer: 256.92619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 239 - 294. Let c(y) = 6*y**2 - 46*y + 56. Does 46 divide c(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*((-50)\/8 + 3). Let m = r - 11. Sort -1, -4, m in increasing order.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 13760 = -8*m - 5*m. Is 40 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, v: 3}. Give prob of sequence ppv.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6767 + 10508. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33010 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-5) - (-8)\/(-10). Suppose u - 7 = 5*x - 129, -z = -u. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 7 + 18)*((-2 + 5 - 1)*(-6 + 1 + 3) - 6 + 6 - 13)*((0 + 0 + 1)*(6*t - 2*t - 2*t) + 3*t - 6*t + 4*t + 2*t - 2*t + 3*t) as h*t + w and give h.\nAnswer: 2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 257*z**2 + 527*z + 2348. Calculate r(-259).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000232686 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/(-14) + (224\/(-98))\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssttwds. Give prob of sequence dwss.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46455166 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -26183a84?\nAnswer: 26183a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 380 - 439 = 0. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.258 - -0.047. Let k = v + -0.005. Sort 2\/7, -0.5, k in descending order.\nAnswer: k, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -143*o - 150. Let b be t(-19). Suppose 0 = -7*x - 10*x + b. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**2 + 10*m + 12. Let y be a(-7). Suppose 0 = u - 4*s - y, 424 = u - s + 5*s. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 138*u**4 - 50*u**3 - 24 - 2999*u + 3343*u - 766*u**2 - 134*u**3 - 12*u**3 = 0.\nAnswer: -2, 2\/23, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37804 divided by -52.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from iiiiiyyyiiliyyyfyi?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201330 - -10?\nAnswer: 202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 870 = 19*q. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, -21, -483, -913, -1299, -1629, -1891, -2073?\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -15, -31, -4, 0.4, -13 in increasing order.\nAnswer: -57, -31, -15, -13, -4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -93. Let y(i) = 2*i - 4*i - 61 + 35 + 25. Let x(o) = 6*o + 3. Give p*y(v) + 2*x(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9151, -36610, -82377, -146452?\nAnswer: -228835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-70))\/((105\/14210)\/((-3)\/6)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 11*i**2 + 18*i + 12. Give m(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*u - 2*u. Suppose 12*w - u = 2160. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.5178mm to meters.\nAnswer: 0.6875178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2 + 2)*(1337 + 1285 - 2399)*(0*j + j + 0*j).\nAnswer: -223*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(-6)*15\/(-10). Let u = j - -10. Calculate the remainder when (196\/(-12))\/((-1)\/3) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/990860 and 16\/5291?\nAnswer: 10899460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7037 (base 9) in base 11?\nAnswer: -3950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1760013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -84. Let y = -37 - w. Is 5 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9470 + -9505.072. Let m = c - -35. Round m to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 20 = -13*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b. Let h(l) = 4*l - 19*l + 32 - 32 + 9*l. Give s(h(k)).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)\/(p\/(p\/(p**(2\/7)*p)*p)))\/(p\/p**(5\/7)*p**(-2\/23)\/p*p))**(-3\/10) assuming p is positive.\nAnswer: p**(102\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 1. Let r(b) = -8*b + 2*b**2 - 5 - 2 + 0*b**2. Let t(k) = 3*o(k) - r(k). Determine t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328.2 + 332.2. Sort -2\/11, c, -8\/105 in descending order.\nAnswer: c, -8\/105, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 - 52. Let q = 123.6 - 206. Let h = g + q. Are -5 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -2222?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812790*o**2 + 11*o**3 - 812790*o**2.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*x - 12 = 2, -u + 3*x = -18. Suppose 2*a + u*a - 160 = 0. Suppose 3*l - 1 = a. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2 - 124*t + 128 = 0. Calculate t.\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - d - d - 114 in the form u*d + l and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 7170050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 61. What is the remainder when 80 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19973.52 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2694019445 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 5*x**2 + 6*x - 4. Let w = -51 + 57. What is b(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 - 5*y**3 + 2*y**3 + (15 - 4*y - 15)*(0 + y**2 + 0).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -17 (b) -3 (c) -26685\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 4*y + 17. Let p be i(8). Let n be ((-29)\/3)\/(5\/p). Suppose n*r = 34*r - 105. Is r smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19805 - 19803. Let q(v) = v**3 + v**2 - 2*v + 1. Let t be q(1). Put t, -0.33, u in ascending order.\nAnswer: -0.33, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1821113 and 7?\nAnswer: 12747791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -1.2, 5, -14, 4 in increasing order.\nAnswer: -14, -1.2, 4, 5, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/590 and 69\/118?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361713127.\nAnswer: 1361713127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634480989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006160618 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*u - 454*u - 14 = 5*h, 3*u - 44 = -4*h. Solve -n = -5*l - u, -l + 3*l = -4*n - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2 + 12*q - 10. Calculate a(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a factor of 177143674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, s: 7, h: 2, z: 2, m: 4, j: 1}. What is prob of picking 2 l and 2 m?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/27 + -6)\/((96\/(-27))\/(-16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3\/5 - 476*v**2\/5 - 33291*v\/5 + 2805264\/5 = 0.\nAnswer: -363, -161, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**2\/6 + 770*a - 13995\/2 = 0.\nAnswer: -933, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 41042?\nAnswer: 41022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1385 divide 19496645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -16*t. Let m be f(7). Let d = 297 + m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(189) + sqrt(21)))\/(5*(sqrt(3) - sqrt(27))).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:43 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*k**3 + 146*k**2 + 16582*k wrt k.\nAnswer: 156*k + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17163 - 16863. What is the highest common divisor of s and 3675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 10*b - 17. Let a be o(-8). Which is greater: a or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842110 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:42 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 - 2*b - 3. Let o be g(-5). Let t = 15 - o. Let x(d) = -2*d + 6. Calculate the remainder when x(-8) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*t - 2*c + 39, 5*c = -3*t + 49. Suppose -t*s + 1241 - 4329 = 0. Let a = s + 759. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*y**4 + 10*y**4 - 36*y**4 - 161 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/40 and 21\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -14 (b) 1.66341 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1+2209377511\nAnswer: 2209377510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 12. Suppose 0*c - c - 19 = d, -64 = w*c - 4*d. Let r = -8 - c. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1356719*b**2 + 1. Let j(i) = i. What is x(j(q))?\nAnswer: -1356719*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147\/56*-1*80\/(-60)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 4 + (-3)\/3. Suppose -c*r - 4*r = -476. Suppose 0 = -3*g - y + 385 - r, -3*y = -3*g + 309. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:37 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3\/4 (c) 1 (d) -0.5 (e) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 22. Let b be w(-10). Suppose 481 - 175 = b*o. Calculate the highest common factor of 34 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 16*z + 6. Determine y(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let v be (-7 + 1)*(3\/(-2) + 3). Let u be (4 + 1 + -2)\/(v\/(-4)). What is the nearest to 0.1 in u, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 - 6*x**4 - x**4 + (-x - 1 + 1)*(4*x**3 - 3*x**3 + 0*x**3) - 2*x**4 - 4*x + 4*x.\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 6:51 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 659.3231l?\nAnswer: 659323.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 7 - (-4 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 66117.55 weeks?\nAnswer: 666464904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -39 - ((-12 - (101 - 1)) + -8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*m**3 - 242*m**3 - 735*m**3 - 82*m**3.\nAnswer: -989*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-22))\/((-3)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5336 + -5338. Sort -1, 0.4, 130, a in decreasing order.\nAnswer: 130, 0.4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 485448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49531.\nAnswer: 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -b + 7*t - 58, 3*b + 4*t = -136. Let v = b - -93. Calculate the greatest common factor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1677954674498 from -130.\nAnswer: -1677954674628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069938785 rounded to six decimal places?\nAnswer: -0.006994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -34, 22, 3 in ascending order.\nAnswer: -34, -2, 0, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40\/33 - 214\/231. Suppose -3 - 1 = -u, 0 = -3*m + 3*u - 18. Sort 0.5, j, -5\/2, m in decreasing order.\nAnswer: 0.5, j, m, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one halves of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 88*t**2 + 742*t - 832.\nAnswer: 2*(t - 1)*(t + 13)*(t + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h**3 + 2743 - 2743.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305759.\nAnswer: 305759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*w - 1. What is the closest to 1\/4 in 3\/8, 0, w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8798 is divided by 4346.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142352 and 25760?\nAnswer: 32740960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 2*c + 3. Let j be o(-3). Let d = j + -8. What is the lowest common multiple of d and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 6. Let f be 4\/(-2) + (-3 - z). What are the prime factors of (-414)\/12*f\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, d: 3, c: 7, s: 2}. What is prob of picking 1 d and 3 u?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 4*w + 4. Let u = -28 + 30. Let k be i(u). Let -13*q**4 + q**5 + 13*q**4 - 2*q**3 + q + k*q**4 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**3\/3 - t - 1. Let l(s) be the first derivative of 4*s**3\/3 + s**2 - s - 323. Let f(q) = -2*g(q) + l(q). Determine f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 168?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 - 11*g**2\/5.\nAnswer: g**2*(g - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 88. Let d be ((-13)\/3 - -6)*(-12)\/f. Suppose -4*i - 2*o + 45 = -141, d*i - o = 99. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 10*f + 8*f + 26 = -59, 5*y + 9*f = -70 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 7*v**2 - 8*v - 8. Calculate the smallest common multiple of p(-6) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -590, -853, -1292, -1907, -2698?\n\"Answer: -88*i**2 + i - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2793160, -2793150, -2793126, -2793082, -2793012?\nAnswer: -2792910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*x - 131 = -8*z - 192, 2*x + 7 + 14 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fav when three letters picked without replacement from {r: 2, h: 4, v: 1, a: 2, f: 1, u: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5*t - 10. Let a be c(7). Let o be a\/(-10) - (-6)\/(-15). Let n be 2 + 6 + -1*o. Solve 5*r - 4*i + 13 = 0, 4*r - 3*i + n = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*n + 110, 2*n - 7*w + 96 = -2*w. Let c be ((-36)\/(-2) - -2)*(-19)\/n. Let k = c + 18. Calculate the greatest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**3\/3 - 256. Let l(z) = -49*z**2. Calculate l(h(r)).\nAnswer: -196*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)\/h**(-1\/5)*h\/(h\/h**(-5))*h\/h**(2\/33) assuming h is positive.\nAnswer: h**(-472\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buuuuububuubuubbuuu. Give prob of picking 4 b.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/281 - -299\/5058. Let g(a) be the second derivative of 8*a + 0 + 1\/72*a**4 - h*a**3 + 1\/12*a**2. Factor g(b).\nAnswer: (b - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aallaldllllfaaall. What is prob of picking 1 d and 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -511601887 - -32230091168\/63. Let b = z - -13139. What is the common denominator of b and -10\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Let j be (6 - (t - -5)) + 1. Suppose -j = f, -5*h = -0*h - 2*f + 199992. Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = 1. Let u(n) = -n**2 + n. Let l(y) = 8*y + 4. Let t(j) = g*l(j) + 2*u(j). Determine r, given that t(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let c(g) = g - 2. Let w be c(0). Let l(i) = -i + 1. Let k(m) = -3*m + 2. Let o(j) = w*l(j) + k(j). Give d(o(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2538 = -10*h + 8218. Suppose m - 239 = 2*v - 35, -3*m - 5*v = -h. Does 28 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*v - 5*u, -u + 10 = u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - k - 0*k - 1, -1 = 5*z + k. Suppose z = 8*g - 22*g + 350. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, -9, 0 in decreasing order.\nAnswer: 0, -9, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/5 - 3*i**2\/5 + 2*i\/5 = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -10. Suppose -2*d - 25 = -3*d. Solve 5*h = -4*a + 33, -w*h = -0*h + 5*a - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(576) + (sqrt(576) - sqrt(576)*-5) + sqrt(576))\/sqrt(3) - (((sqrt(147) + -1)*6 - sqrt(147)) + -3*sqrt(147) + -5)**2.\nAnswer: -710 + 372*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 + 11 = 0. Suppose -q + 4*q - n = 0. What is the closest to 3\/2 in 2\/9, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 2.8 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (15 - (-43 - -13)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 28325891 and 28325886 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002943 + -188.9?\nAnswer: 5002754.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36016.333 rounded to the nearest 10?\nAnswer: -36020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 2 + 2)*(0 + 1 + 1) + 21*f - 73*f - 35*f + (-f + 0*f + 3*f)*(-81 - 36 + 28) in the form k*f + x and give k.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20148156.63 rounded to the nearest ten thousand?\nAnswer: -20150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in -2\/11, -2\/7, 0.4, 1\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -86412 (base 13) to base 5\nAnswer: -30223421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 12, 18, 26, 36, 48, 62?\n\"Answer: u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 199565 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62637*y**5 - 98*y**4 + 46*y + 275263 wrt y.\nAnswer: -1252740*y**3 - 1176*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.948 + -0.052. What is the second biggest value in l, 2, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 18713110?\nAnswer: 205844210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4671472 divided by -63128.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 335\/2*w**3 + 1\/2*w**5 - 168*w + 0 + 31*w**4 - 31*w**2 = 0. What is w?\nAnswer: -56, -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxmxxxtmxxxxxmxmxxm. Give prob of sequence mm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53032, -106098, -159140, -212158, -265152, -318122?\n\"Answer: 12*i**2 - 53102*i + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -784 - -787. Put r, -3, 29 in increasing order.\nAnswer: -3, r, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2454 - 2710.9. What is b rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 57*r - 4. Is y(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.3677 millennia in months?\nAnswer: 4108412.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 9. Suppose 4*j = 5*j - 15. What is the remainder when (1 + -11)\/((-6)\/j) is divided by v(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38c + -ac?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -338 divided by -2?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9))**(22\/3)*(q*q\/(q*q\/(q**(-2)\/q*q)))**(-18) assuming q is positive.\nAnswer: q**(928\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -1220*b**7\/7 + 584*b**3\/3 + b**2 - 641. Find the third derivative of z(o) wrt o.\nAnswer: -146400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 3140*q**2 + 7*q - 19 + 328*q**2 - 5*q as l + t*q + b*q**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 5 (c) 0.02 (d) 0.1 (e) 2\/5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3509, -5, 1 in decreasing order.\nAnswer: 3509, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1564 = -5*g + 5886. Let d be (-2)\/(-15) - (-119248)\/240. Suppose 3*c + 2*h - 394 = d, -5*c = 5*h - g. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:05 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 + 1574618*t**5 + 54*t**2 + 111728*t?\nAnswer: 120*t**3 + 94477080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 10) to base 6\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/1617 + 14401\/61446. Which is the nearest to 5? (a) 4 (b) 1 (c) -3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1018633.7 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btxxzzz. Give prob of sequence zz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*g**3 - 875*g**2 + 875*g**2.\nAnswer: 835*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -5 - (9 - 4) - -3 - (34 + 10).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)**(-3))**22\/(j**(-4\/7)*j**(-2)*j**(2\/5)*j*j**(1\/4)) assuming j is positive.\nAnswer: j**(129\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.14. Let w = 0.06 - t. Let i = w - -0.0824. What is i rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18369247 is divided by 250.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (sqrt(343) - (6*(1 + sqrt(343)) + sqrt(343)) - sqrt(343)) + sqrt(343) + -3 + 2 + -3)*3)**2.\nAnswer: 24192*sqrt(7) + 446832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4 - 55*m**3 + 95*m**2 - 45*m = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.049*4\nAnswer: 8.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7842, 62362, 210228, 498114, 972694, 1680642, 2668632, 3983338?\nAnswer: 5671434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:31 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4\/7 - 36*t**3\/7 - 342*t**2\/7 - 32*t + 600\/7 = 0.\nAnswer: -6, -2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jabbb. Give prob of sequence bjb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 1, q: 1, v: 1, f: 2}. Give prob of picking 1 a, 1 v, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9771, -0.4, -1, -3 in descending order.\nAnswer: -0.4, -1, -3, -9771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101010110100010 (base 2) in base 5?\nAnswer: 42141402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240044440 + -23?\nAnswer: 240044413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 33*a - 197. Calculate n(-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z + 15*z + 236 = 114*z - 340 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-15))\/(14\/(-105)). Let y = 144 + -1010\/7. Sort i, y, -3\/5.\nAnswer: i, -3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 - 11*r**4\/24 - 5*r**3\/3 - 4*r**2. Let v be c(-10). Suppose d - 1 = -v. Solve u - 1 = d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 6 (c) 0 (d) 2452 (e) 2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**4*z + 8276*g**4 + 2*g**2*z + 2*g**2 - 3377*z - 2 wrt g?\nAnswer: -96*g*z + 198624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/15)*c*c**(-2)\/c assuming c is positive.\nAnswer: c**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -8.88. Suppose 3*y = u - 6, -3*u = -y + 2*y + 2. What is the fourth biggest value in u, h, 5, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 + 3*f + 3. Let s be d(3). Let x be (-22)\/s + 17\/(-3). Is x <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r, 684 = -g + 3*g - 4*r. Calculate the remainder when g is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from dvvjvjvddjyvyvvvyvv.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304 by -122.\nAnswer: 152\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35478657 to the power of 1\/2, to the nearest integer?\nAnswer: 5956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267972\/55 - -4871. Let w = -64848 - -3242363\/50. Calculate the common denominator of w and m.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + m = 8 + 3, -5*r + 16 = 4*m. Suppose -r*y - 3*k = 6, 5*y + k + 12 = -1. Let a be 19\/(-30) - (2 + (-25)\/10). What is the closest to a in y, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/7 + 740*j**3\/7 - 4488*j**2\/7 + 9008*j\/7 - 6016\/7.\nAnswer: 2*(j - 2)**3*(j + 376)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -5. Let z(h) = h**3 + 21*h**2 - 72*h + 4. Let r be z(-24). Calculate the highest common factor of r and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + (3 - -3) + 3\/1. What is the greatest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-9)*87*30\/6090\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(j - j + j)*(-169*j**2 + 496*j**3 - 33*j**3 + 169*j**2).\nAnswer: 926*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 34. Let z = 11 - 11.42. Let u = z + 0.02. What is the second biggest value in 0.2, u, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 12. Let g be o(6). Let m(x) = -x + 10. Let h(d) = -d + 11. Let f(c) = 5*h(c) - 6*m(c). Let q be f(6). Is g greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*-2*-21*612\/126?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25515*q**2 + 3375*q**3 + 0 - 65610*q - 395\/3*q**4 + 5\/3*q**5.\nAnswer: 5*q*(q - 27)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y**2 - 22*y**2 - 3 - 153*y + 90*y**2.\nAnswer: 21*y**2 - 153*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 103091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/1540 and 113\/350.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7640, 2, 5, 3, -7 in decreasing order.\nAnswer: 7640, 5, 3, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 73 - 71 = 0. Suppose 3*t - 11 = -2*d, o = 5*t + 4*d - d. Calculate the greatest common divisor of 21 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*u - 2 - 59*u + 2 in the form s + b*u and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -5\/4*s**4 + 225*s**3 - 30375\/2*s**2 + 158 + 455625*s. Let g(o) = 0. Calculate o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-30) - 0)*(-33147)\/1131 and -29\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 - -1.6. Let y = 103.1 + -103.2. Let r = 16\/87 + -1\/58. Put f, y, r in increasing order.\nAnswer: y, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wjwwy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 3, v: 2, w: 1, f: 1, h: 3}. What is prob of sequence hn?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 + 9*o + 1. Let n be r(7). Let j = -10 - -7. Put j, n, 1 in increasing order.\nAnswer: j, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 31. Let a(l) = -l**2 + 5*l + 2. Let j be a(5). Let h(d) = -3*d - w + 3*d + j*d - d. Determine h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2. Let a(i) = 73*i. Give a(q(l)).\nAnswer: 292*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31597224 by -7899306.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2342*y**2 - y - 1. Suppose -2*a - a = -3*c - 15, -2*c - a + 2 = 0. Is s(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*g - 4*g - 2, 0 = 2*j + 5*g + 6. Let a be 48\/21 - j\/1. Suppose 4*x - 3*k + 3 = -x, -2*x - 3 = -3*k. What is the closest to x in -2, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -4*l + 6*l, 4*l = -4. Let d(c) = -c**3 + 0 + 8*c + 6 - 4*c**2 - 4*c. Determine d(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63))**2*2.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -714? (a) 8 (b) -1\/2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(17*11\/187).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47.09 - 46.79. Let f = 0.62 + 0.38. What is the nearest to f in l, 2\/33, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 - 1724*s**2\/3 + 183148*s\/3 + 188356.\nAnswer: 4*(s - 217)**2*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -393, 5, -5, 132, 0 in decreasing order.\nAnswer: 132, 5, 2, 0, -5, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + l)*(2842*l**2 - 1827541 + 1827541)*(-1 + l + 1) to h*l + z*l**4 + v*l**3 + m + g*l**2 and give z.\nAnswer: 2842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1777 - 1144. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -455, -668, -875, -1076, -1271?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-52))\/(1\/(-6)). Let m = -43\/78 + i. Let q = -0.83 + 0.73. Is q at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 30 = -3*l, 2*l - 50 = -3*s + 4*l. Suppose -2*w + 84 = s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980388304?\nAnswer: 2, 7, 43, 203569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370157?\nAnswer: 139, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l + 1479984. Suppose 3*f - 2220006 = -0*f + 3*m, 0 = -f - 4*m + l. Suppose 3*r = r - f. What is r rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 74. Solve j = 2*a - j + 16, h*a = -5*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/8 - -6 - 11) + (-33)\/(-6). Factor 0*m + 0 - 32\/3*m**2 - 2\/3*m**5 - 16*m**3 - 6*m**a.\nAnswer: -2*m**2*(m + 1)*(m + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 11*g**2 + 12*g + 4. Let t be r(-12). Sort 2\/11, t, 0 in decreasing order.\nAnswer: t, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*f = 126, -9*x - 3*f = -4*x + 353. Let a be ((-2)\/6)\/((-11)\/(-2403)). Let l = a - x. What is the third biggest value in 6, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2470)\/(-350) + -7 + (-483)\/12740)\/((-20)\/40).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -17 + 4*y + 16 + 0. Let o(t) = -5*t + 1. Let l be (-3 + 2 + 0)*-9. Suppose -5*c - 14 = h - 2, -h - 4*c = l. What is h*o(k) + 4*w(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -443\/6. Let y(x) be the first derivative of 0*x - 1\/6*x**6 - 3 + c*x**2 - 4\/15*x**5 + 1\/6*x**4 + 4\/9*x**3. Solve y(l) = 0 for l.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1304 * -25.\nAnswer: -32600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258917888 to the nearest integer?\nAnswer: 16091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -65*z + 62*z - c, -c - 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y + 2*c - 16, 4*y + 6905 = -5*c + 6869 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 10560 = 7*u. Suppose -r + 5*i = u - 11792, 0 = i. Find the common denominator of 2\/(-5) + r\/1280 and -29\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7054377287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 124. Suppose 4*q - b = 2*q + 28, -c*b = -2*q + 24. Let m = -23 - -125. Calculate the remainder when m is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61, -54, -43, -28, -9?\n\"Answer: 2*a**2 + a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-14)\/(-10)*-1)*355*(-126)\/(-28116).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 6c963?\nAnswer: -6c964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 813125 or 813134?\nAnswer: 813125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*f = -8142 + 8686. Solve g = -2*d + f, -4*g - 3*d - 6 + 18 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 - 22*b - 3*b**3 + 2*b + 26*b**2 - 6*b**2 = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -59.8, -4, -2\/7, 1\/7, -31 in decreasing order.\nAnswer: 1\/7, 0, -2\/7, -4, -31, -59.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -15610?\nAnswer: 15610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-237)\/(-12))\/((-30)\/(-840))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence femf when four letters picked without replacement from jvjffmeze?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2288*g - 2414*g - 1527*g + (-4*g + 2*g + g)*(2 - 4 + 4) + 4*g + 2*g - 5*g to w + c*g and give c.\nAnswer: -1654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13586407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3997 (base 10) to base 5.\nAnswer: 111442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540 = 3*g - 12*i, 4*g - 2*i - 5*i + 104 = -5*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2678259?\nAnswer: 3, 19, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 22*x - 101. Let z be m(-7). Suppose 0 = 3*l + 4*s - 348, -3*l = -z*s + 7*s - 345. What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 78 = 3*d, -5*d - y = 8856 - 8992 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)*-2)\/(sqrt(700)*-2 - sqrt(7)))**2.\nAnswer: 272\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18717 + 0.68717. Let h = -2 - 1. Put x, -0.4, h, 0.3 in increasing order.\nAnswer: h, -0.4, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 35 + -20 + -35 - (-1 - -6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 + 2*i + 9 + 2*i**3 - 4*i**2 + 4*i + 0*i**2 - i**3. Determine l(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-3\/4)*z*z)\/z**(-1)*z**(-4)\/z*z*z*z**(-1\/5)\/z)\/((z**(-1\/2)*z)**(-2\/151)\/((z\/(z\/(z*z*z\/z**(-1\/3)*z)))\/z)**(1\/10)) assuming z is positive.\nAnswer: z**(3533\/9060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -26192548 and -26192551 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:17 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124933 or 2?\nAnswer: -124933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45554 + 8818 = -1591*x + 28495 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 16, i: 4}. Give prob of sequence hiih.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -424477 + 6.\nAnswer: -424471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0 + 0 + 5*q - 4*q. Let h(b) be the second derivative of b**5\/120 - b**3\/6 + b. Let m(k) be the second derivative of h(k). Determine m(w(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -4 (b) 3 (c) -1\/6 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48.71214kg?\nAnswer: 48712140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**2 + 1429941*z + 47184786 = 0.\nAnswer: -476614, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -r + 4*u, 0*u = 3*r - 2*u - 4. Let n(y) = -y**2 + 2*y + 5. Let t be n(r). Let m(h) = -20*h**3 + 2*h**2 + 4*h + 7. Is m(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.988 - 0.012. Let x = d + 46. Let n = 16 + -15.9. Which is greater: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*(116\/(-58)*(-3)\/6)\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104296 and -34.\nAnswer: 3546064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -18*y + 59. Let b be s(-3). Let a = b - 51. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**9\/7560 - z**8\/2016 - z**7\/360 + z**6\/180 - z**5\/30 + 4*z**2. Let a(c) be the third derivative of y(c). Factor a(n).\nAnswer: 2*(n - 2)*(n + 1)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-58)\/18 - 2\/(-9). Suppose -2 = 2*g + 2. Let a(d) = d - 4. Let j(n) = -n + 3. Let z(b) = g*a(b) - 3*j(b). What is z(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/(-10*(-42)\/(-1400))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9812 and 6160?\nAnswer: 1373680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1037 and 2791177.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1937 and 4257079.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:22 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-7) + ((-21)\/(-14))\/(42\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170996?\nAnswer: 2, 3, 97583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1219465848 by -6.\nAnswer: -203244308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -0.36. Let m = -79\/114 + 10\/19. Put f, m, 3\/8 in increasing order.\nAnswer: m, f, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13931 - -0.14.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -286832\/3 - -1171637\/12. Let y = -2036 + f. What is the common denominator of -41\/11 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56050 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7564*k + 7567*k - 15066*k + 6)*(2 - 2 - k)*(-4 + 4 - 3*k).\nAnswer: 195*k**3 + 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let u be o(2). Suppose -u*p + 14 + 2 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 3:54 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -359, -3079, -10461, -24833, -48523, -83859?\n\"Answer: -388*s**3 - 3*s**2 + 5*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(2057))*6 - (-2 + (sqrt(2057) - sqrt(2057)*1))*-1)**2.\nAnswer: -11616*sqrt(17) + 1185316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248 a factor of 227140168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 92*z**2 - 89*z - 179. Determine s(91).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19309327 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q - 827 = -4*y + 435 + 900, 3*q = -728 + 557 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 54362 + 54362.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*(-6)\/(-4). Let z = 3 - j. Find the second derivative of -6*d**2 - 3*d + z*d + 5*d wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ititt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:21 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*x - 440 - 1018, -4*k + 1478 = 5*x. List the prime factors of k.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4276 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = -6, -330 = 4*d + b. Suppose 3*r + 157 = -r + 3*j, 3*r = 4*j - 116. Let q = r - d. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 74\/9, 1\/5, -2, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {a: 1, k: 1, o: 4, q: 1, e: 4, u: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 3. Let s = j - 17\/2. Let d be (-6)\/76*(-4)\/3. Which is the nearest to s? (a) d (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1. Let j(b) be the first derivative of 2*b - 16. Let s(a) = j(a) - p(a). Let r(q) = q**2 + 5. Calculate r(u) - 5*s(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k = 83*k + 333 + 117. Suppose z - 2*z = -1. Sort k, z, -20 in ascending order.\nAnswer: -20, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4565 + 8889. Is 70 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or -1024?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 14. Find the third derivative of -29 + a*t**4 + 0*t**4 + 29 + 6*t**2 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 384582135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -741? (a) -3 (b) -3\/4 (c) -1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5788, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.4 in -15, 0.351, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(3))\/sqrt(11) - (sqrt(5) - (sqrt(5) - sqrt(20)*1)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 849996 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 48 + d + 54)*(d - d - 2*d**3).\nAnswer: -2*d**4 + 36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:10 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4991 and 2345931?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -15675989, -0.2, 3\/8, 0.4 in descending order.\nAnswer: 0.4, 3\/8, -0.2, -15675989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*t**2 + 17*t**2 - t**3 + 665*t**2 - 28*t + 540*t**2 + 3.\nAnswer: -t**3 + 1264*t**2 - 28*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 652 + -344. List the prime factors of t.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2556699 or -2556701?\nAnswer: -2556699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1492, 1, 0, -2, -3 in decreasing order.\nAnswer: 1492, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 60408*k**2 + 241584*k - 241568.\nAnswer: 4*(k - 15098)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775649142 a multiple of 6393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 152, 287, 422?\n\"Answer: 135*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 - 75*g + 10*g.\nAnswer: -65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:30 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 - 22*v - 108 + 77*v - 59.\nAnswer: 55*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14149, -26351, -38553, -50755, -62957?\nAnswer: -75159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11815 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Suppose -4*z + 23 = i, 47 = -f*i + 5*i + 3*z. Let l = 46 - 18. Calculate the greatest common divisor of l and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t)*(t**4 + 3*t**4 - 2*t**4) + 2*t**5 - 3*t**5 + 3*t**5 + 13*t**5 + 64*t**5 + 41*t**5.\nAnswer: 124*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 1\/13 (c) -1.124 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 2, c: 7, g: 4}. What is prob of picking 1 g and 2 c?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (5 - (1 + 0)). Let w(c) = c**3 - 13*c**2 + 6*c + 6. Let u be w(z). Let f = u + 91. Calculate the remainder when 74 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1574008 greater than -1574009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6508.000005147 + -6508. What is o rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/12 - (3 - 2)\/(-3). Let w(k) = 4*k. Give w(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164654*y**3 + 112251*y**2 wrt y.\nAnswer: 987924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - a + 10 = -3, 0 = -x - 2*a + 8. Find the second derivative of 4*s**2 + s**x - s - 5*s**2 - s**2 wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 5*p**2 + 3*p - 7. Give x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19357 and 3.\nAnswer: 58071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i - 641. Let h(q) = -6*q - 643. Let s(p) = -5*a(p) + 4*h(p). What is the remainder when s(0) is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*t + 485 = 2*h, -4*h - t = -961. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 45 = -5*m. Let u(a) = -8*a**3 + 3*a**2 + 2*a. Let l be 4\/(2\/(-1)) + 0. Let v be u(l). What is the greatest common divisor of v and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -140. Let y = -72.62 + s. Let p = y + 0.22. Sort 1, p, 3.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - 64\/(5 - -3). Is h < -5\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68475? (a) 3 (b) 8 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, -3\/5, -2, 2, -1 in ascending order.\nAnswer: -108, -2, -1, -3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -515, -507, -499, -491?\n\"Answer: 8*n - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679, 1074, 2151, 4252, 7719, 12894?\nAnswer: 20119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3784 + -3780. Let j(n) be the first derivative of -12 + 9\/4*n**a + 0*n**3 + n - n**2. Calculate j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3956694?\nAnswer: 2, 3, 7, 94207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1553, 3104, 4655, 6206, 7757?\n\"Answer: 1551*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {x: 1, j: 2, w: 1, f: 1, r: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 10*x - 1. What is l(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)*k*k\/(k**(2\/3)\/k*k))**37 assuming k is positive.\nAnswer: k**(259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 948904?\nAnswer: 37956.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*w, 0 = -12*y + 7*y + 5*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (9\/12)\/(-3). Let m = 28 - 27. Which is the nearest to 1\/4? (a) f (b) -2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437 (base 11) to base 10.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 75 = -271. Suppose -a + 3657 = 2*a - r, -5*a + 5*r + 6095 = 0. Let m = u + a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -2*h + 38 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -40, -51, -44, -13, 48, 145?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13440\/16128)\/((-40)\/(-54))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -2\/15, -4\/4699, 1, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:28 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -694, -1426, -2112, -2746, -3322, -3834, -4276?\n\"Answer: c**3 + 17*c**2 - 790*c + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10525 - 134?\nAnswer: -11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/11)\/(p*(p**(-4\/3)*p)\/p)*p**(6\/5)*(p**(2\/11)\/p)\/p assuming p is positive.\nAnswer: p**(-2\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:31 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/3)\/(-45)*(-6)\/(-7).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(3322*z**5 - 1862*z**5 + 2824*z**5).\nAnswer: 4284*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 2*g**7\/21 + 3*g**6\/5 - 5*g**5\/2 - 5*g**4 + 68*g**3\/3 - 24*g**2 - 18*g + 4. Let k(u) = 0. Calculate u.\nAnswer: -6, -2, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-35))\/(5715\/889)*-465.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(4\/9)\/((n**(-1\/2)*n)\/n)**41 assuming n is positive.\nAnswer: n**(1115\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-36)*((-9)\/(-2))\/3. Let z = 1\/2 - n. What is the closest to -2 in z, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -965 times -6\nAnswer: 5790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4623905 by 715.\nAnswer: 6467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 17 - ((7 - -62) + 3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695097083*k**2 + 20*k + 3584790?\nAnswer: -1390194166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:13 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1615 - -1631. Which is the closest to -1? (a) 11 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from {d: 2, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*l + 6255 = 655*l + 355*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 0, -4, 8, 2, -3, 7 in decreasing order.\nAnswer: 131, 8, 7, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 148\/3*c**3 + 0*c**4 + 0*c**5 + 0*c + 0*c**2 - 28\/3*c**6 + 91. What is the third derivative of s(t) wrt t?\nAnswer: -3360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/12 and 41\/37466.\nAnswer: 224796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 + o**2 + 3*o**3 + 3*o + 2 + 6*o**2 + 5*o. Let l be p(8). Find the third derivative of 7*k**2 - 4*k**4 - 53*k**l + 32*k**4 wrt k.\nAnswer: 672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m. Let f be i(0). Solve f = 3*k + 3 + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 23. Let s(h) = -h**3 - 8*h**2 + h + 2. Let l be s(n). What is the tens digit of (l\/5)\/(3\/(-110))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0368 - -9.7.\nAnswer: 9.7368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000691 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*t + 12, 5*t + 19 - 55 = 4*j. Let s(m) = -2*m**2 - 2*m. Let b(d) = -5*d + 2. Let u be b(1). Let o(n) = 3*n**2 + 2*n + 1. Give j*s(i) + u*o(i).\nAnswer: -i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 5*b - 6. Let o be d(-7). Let s = 173 + o. Suppose 57 = -3*v + s. Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349*k**4 + 1260 + 485*k**4 - 1227 + 3*k + 2*k**2 - 2*k**2 wrt k.\nAnswer: 10008*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876714893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 22. Let k be ((-784)\/80)\/(z\/(-10)). Let u = k + -12. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 24 = -5*c, 2*c + 7*q - 8*q = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8741211*r**3 + 3003*r**2 - 36 wrt r.\nAnswer: -52447266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(116\/(-20) - -6). Suppose 2*a = c - 2*c + 1349, c = -j*a + 3371. List the prime factors of a.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593*f**3*i + f**3 - 28*f**2*i + 48*f**2 + 3069*f*i - 302*i wrt f.\nAnswer: 3558*f*i + 6*f - 56*i + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 99*l - 3970. What is p(40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, t: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -29*g + 232. Let c(a) = -33*a + 229. Calculate 5*c(d) - 6*m(d).\nAnswer: 9*d - 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 54*n + 104. Let k(r) = 31*r + 52. Give 11*k(p) - 6*x(p).\nAnswer: 17*p - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 7. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650717364 a multiple of 4908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 + 1. Let b be r(4). Let a be (-4 - -6)*(b + 1). Find the second derivative of w**a - 22 + 2*w + 22 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 332131?\nAnswer: 332113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1985 in -92, 0.04, 4, 0?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 10*r - 4. Let s(t) = -t**2 + t + 1. Let c(i) = 3*s(i) - w(i). Let h(z) = z**2 - 4*z. Let y be h(5). Calculate c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 41 in decreasing order.\nAnswer: 41, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c**3 + 32597*c**2 - 32597*c**2.\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29.7 (b) 5 (c) 2006 (d) 0.04 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 29*b**2 + 2 + 12 + 25*b**2 + 2.\nAnswer: -4*b**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-26120)\/5877*(-3)\/(-48))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 8*q**2 - q - 4. Let w be t(-8). Solve -2*u = -4 - w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*h = -10. Let s be -2 + (-15)\/(-5) - -1. Suppose -w + 25 = -y, 3*w + h*y - 37 = s*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 4*r + 26*r**2 - 4*r.\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*t**2 - 260*t**2 - 44*t**4 - 3*t**5 + 788*t**2 - 266*t**2 + 50*t + 2*t**5 wrt t.\nAnswer: -60*t**2 - 1056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -308835057 bigger than -308835059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -308*z + 313*z, -4*z + 12 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63*(-92)\/(-8280)*-8?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8418, 9725, 11106, 12597, 14234, 16053?\nAnswer: 18090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 7*n - 3216 = 10*z + 25*z - 3*n, -5*n = 2*z + 180 for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7481*s - 369. What are the prime factors of y(-2)?\nAnswer: 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23500951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 10*d**2 - 10*d - 43. Calculate b(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 27 = t - 3*f, -5*f + 5 = 0. Let i(v) = v**2 - 5*v + 4. Let r be i(5). Suppose o - t = -r*o. Calculate the least common multiple of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 + 2590*i + 2595 = 0. Calculate i.\nAnswer: -1, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Suppose -w = n*w - 4*i - 20, -16 = -4*w - 2*i. Let t = -0.3 - 4.7. What is the third biggest value in t, -2, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = 4. Let p be (10\/4)\/(d\/(-16)). Suppose -p*m - 252926 = 1647074. Round m to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -297\nAnswer: 14.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 532334 and 2661670.\nAnswer: 2661670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1908 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -2.08. Let z = r + 7.1. Sort z, -4, 0.01 in decreasing order.\nAnswer: z, 0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2616 + 2554. Sort 0, g, 11 in ascending order.\nAnswer: g, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*z - 12*z + 20*z + 17*z - 4*z**2.\nAnswer: -4*z*(z - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2. Let w(c) = c - 1. Let k(x) = 30*x - 12. Let v(j) = k(j) - 12*w(j). Determine v(m(u)).\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(16\/12) - -82. Let p = z + -76. What is the remainder when 61 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9511, -19024, -28537?\nAnswer: -38050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/(-10))\/(6 + 9438\/(-1572)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 x when three letters picked without replacement from {d: 1, h: 2, e: 1, x: 3, b: 11}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 2, 0.47, -397 in descending order.\nAnswer: 2, 0.47, 0.01, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -402c (base 13) to base 3\nAnswer: -110002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102531\/4 - 25813. Let o = -178 - f. Factor 0 - 1\/2*l + o*l**2.\nAnswer: l*(9*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p + 13. Let r be z(0). Solve -3*d + 20 = -5*a, 0 = 5*a + r + 7 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 475 in -0.5, -2, 20, 0.2, 2\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -774, -1616, -2490, -3396, -4334?\nAnswer: -5304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {a: 5, z: 4, u: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 1877006*d - 880787881009.\nAnswer: -(d - 938503)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 23 - 13 = 0. Let y be (-14)\/j - (-2)\/(-9). Are 0 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 5. Let m = j + -11. Let q = 0.04 + -0.44. Which is the closest to 0? (a) -3 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = -c. Let n(o) = -5*o - 13. Let m be n(c). Let z be ((-8)\/(-16))\/(1\/m). Solve 2*l - 5*p + 4 = 3, -5*l + 4*p = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1413*r + 1563*r + 4801 - 4142 wrt r?\nAnswer: 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*q + 5*d, -13 = -4*q - d + 2. Solve -4*k**5 - k**3 + 14*k**q - k**4 - 9*k**5 + k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:25 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 + 2415*t + 2420 = 0. Calculate t.\nAnswer: -1, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 11*t - 138. Let a be y(25). What is the highest common factor of a and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/22 + 0 - 0. Suppose 7*m - 35 = -0*m. Suppose -2 = -3*u + m*h, -5*u = 4*h - 2*h - 24. Which is the third biggest value? (a) u (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 25*b**2 + 4*b + 5. Let y be c(15). Suppose 0 = -14*o + 14103 - y. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from qrccscccqcccsqctccr.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 - n**4 + n + 3*n**4 + (-5*n**3 + n**3 + n**3)*(2*n - 3*n - n).\nAnswer: 5*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5541832586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36279 + -20579. Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21\/(-7) - (-45 - 1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, v: 2}. What is prob of picking 1 g and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (231\/49 - 5) + (-488)\/7. Let q = 26 + l. Calculate the remainder when (-422)\/(-22) + (140\/q - -3) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**2*u**5 - 12*o**2*u**4 - 3*o**2*u**2 + o*u**2 + 1 wrt u.\nAnswer: 60*o**2*u**2 - 288*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 285*a - 13510. What is d(-60)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6881311386 take away 3?\nAnswer: -6881311389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 505134 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218\/3 - -73. Let q = -1.87 + 1.5. Let d = -0.07 - q. Is d != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/3)\/u*u\/u**(-8))**(-11\/2) assuming u is positive.\nAnswer: u**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 3*o = -14*l - 5998, 5*l - 15064 = -4*o. Does 43 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5110)\/16425)\/((-50)\/(-180)*-2)?\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**5 - 60*l**3 - 2*l**2 - 26 wrt l.\nAnswer: 120*l**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*k - 196 + 196)*(k - 2*k**2 - k) to the form m*k + n*k**2 + v*k**3 + h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/1 - (-96)\/(-108 - -60))*(-20)\/6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 19*m - 56. What is the smallest common multiple of w(3) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -2\/11 (c) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 250*b**2 - 93*b + 478. Does 54 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111825?\nAnswer: 5, 17, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.8? (a) -0.9 (b) -3 (c) -12 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/25*2 + 1746\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -102*k + 104. Let h(d) = -100*d + 105. Let o(r) = -7*h(r) + 6*m(r). Find the first derivative of o(w) wrt w.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(-8)\/(-10). Let j be (2 - 4)\/((-28)\/(-1078)). Let d be 0\/(-2) + (-44)\/j. What is the third biggest value in p, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 5 + 4*q**3 - q**2 - 3*q**3 - 10*q**2. What is the lowest common multiple of o(12) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -1 + 3\/2*o**2 + 0*o. Let f(h) be the first derivative of 3*h**2\/2 + 155. What is f(l(j))?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -456 - -771. Suppose 8*h - 3*h = m. Let j be (h\/(-12))\/(3\/(-8)). Solve 4*x - 14 - j = -4*n, 5*x - 4*n - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i - 3275*i**2 + 10*i - 21*i.\nAnswer: -3275*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9590747\/200 - 47954. Find the common denominator of -3\/2 and p.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*j + 763*j - 65 + 65.\nAnswer: 1213*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -8 - -5) + (-34 - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 40.5, 0.11, 469, 3?\nAnswer: 469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 - 4*x - 4. Calculate i(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*0.5.\nAnswer: -34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 15.5. Let r = y - 2.5. Let u = 1.6 + -2. Which is the nearest to -3? (a) u (b) 5\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*m - 47 - 21 = 0, 0 = -4*k + 2*m + 116. Suppose -5*n - z + 128 = 0, -3*n + 2*z + k = -2*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, b: 3}. Give prob of sequence lbbl.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/9 + 13894*q**4\/3 + 139004*q**3\/3 + 167144*q**2\/9 - 2335120*q\/3 - 1334464 = 0.\nAnswer: -6, -2, 4, 20851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 2\/5 (b) -0.5 (c) -1\/8 (d) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3562737\/775 + (-6)\/75.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = x + 3*b + b, -5*x + 295 = -4*b. Let m = -15 + x. Let t(y) = y**2 - y + 8. Let u be t(0). Calculate the highest common divisor of m and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 34, -20, -220, -638, -1346?\n\"Answer: -12*n**3 + 35*n**2 - n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -43, 0, -1, -9 in decreasing order.\nAnswer: 5, 0, -1, -9, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2141031 meters to micrometers.\nAnswer: 214103.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49414*b**3*x**2 - 2*b**3*x + 2*b**3 - 16*b**2*x + 13*b*x**2 - 950*b - 1 wrt x?\nAnswer: -98828*b**3 + 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 36\/13, 10\/9, -1.1.\nAnswer: -3, -2, -1.1, 10\/9, 36\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3284770 and 33970?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 54*b**3 + b**2. Let u be x(1). Let o = u + -30. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 22. Suppose 2*s - 8 = -z. Which is the third biggest value? (a) 2 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 167 + 164 - 494 + 163 + 30700*g as k + x*g and give x.\nAnswer: 30700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4778935 - 4778935 - 214*f to v + o*f and give o.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-5)\/(-15) - (-7)\/(-9). What is the nearest to 2\/13 in -0.3, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12 + -3 - -321 - 1?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049526354.\nAnswer: 2, 3, 174921059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14923580 divided by 740?\nAnswer: 20167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5770 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8990458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4, -14 = -3*q - 0*a - 2*a. Suppose 2*w = -4*u + 6, 2 + 3 = 5*u + 5*w. What is the third derivative of o**2 - o**5 - o**q - o**u + 3*o**2 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -1. Let d(x) = 2*x**3 - 4*x**2 - x - 1. Is d(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -249718.00988 + 249530.00987753. Let i = r - -188. What is i rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35142697 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*6\/9*-6. Let f = -1 + y. Suppose -j - f*j = 0. Solve 0 = 2*p - 0*g + 3*g + 2, -4*p + g + 10 = j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 1 + (5 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 4*p + 4. Suppose 1 = 2*w + 5*g, 4*w - w = -g + 8. Find the common denominator of 52\/3 and u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 19*l + 9. Let n(j) = -19*j - 9. Calculate 4*m(f) + 3*n(f).\nAnswer: 19*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249389 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**5 - 59*j**4 - 143*j**3 - 121*j**2 - 34*j = 0.\nAnswer: -17, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -2*c**6\/15 + 9*c**5\/5 - 2*c**4 - 112*c**3\/3 - 4*c + 5. What is l in w(l) = 0?\nAnswer: -2, 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1550505 and 6501?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11398, 11516, 11720, 12016, 12410, 12908?\n\"Answer: x**3 + 37*x**2 + 11360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -36*b**2 - 613*b - 13. Calculate f(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 3*t + t)*(-2*t**2 + 720*t - 306*t - 350*t).\nAnswer: 6*t**3 - 192*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -99.3 (b) -2\/7 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 9735*b + 58230.\nAnswer: 5*(b + 6)*(b + 1941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*n + 16 = -48*n. Suppose n*h = 20*h - 576. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9336.822 days to hours.\nAnswer: 224083.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 - 21\/14*-6. Is t < -32\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-1)*(4\/8 - 1). What is j in 40*j - 3*j**3 - 8831*j**z - j**3 + 8819*j**2 = 0?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 5:27 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(0 - 9\/6). Let s(a) = 19*a - 1. Let b be s(o). Let h = 68 - b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12670 is divided by 195.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*v - 5*v - 3*v - 1071 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48176619 divided by 5\nAnswer: -48176619\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Let a = -15427 - -15428. Put 5, v, -5, a in decreasing order.\nAnswer: 5, v, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**4 + f**2 - 2*f - 1. Let s(r) = 42*r**5 - 5*r**4 + 3*r**2 - 4*r + 12. Let j(b) = -s(b) + 5*y(b). What is the second derivative of j(q) wrt q?\nAnswer: -840*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/5248 and -17\/10496.\nAnswer: 10496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 126*v - 1311530 = 0. List the prime factors of v.\nAnswer: 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.3, 2\/9, -61?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20794, 41582, 62370, 83158, 103946?\nAnswer: 124734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**5*q)*q)\/q**(-3\/10)*q**(3\/4)\/q**9 assuming q is positive.\nAnswer: q**(-239\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 495 = -2*m, 4*m - 6*y = -y + 915. Let k = -224 + m. What is the remainder when 196 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/16 in -2, 27, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.555 - 0.07?\nAnswer: -3.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and -0.12?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2779?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4005078 and -0.4.\nAnswer: 4005077.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -5643?\nAnswer: -5640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171*11175.\nAnswer: 1910925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25369725 + 0.170511.\nAnswer: 25369725.170511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -10, 0.03, -3\/5 in descending order.\nAnswer: 0.09, 0.03, -3\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*w**6 + 10956*w**4 + w**3 - 97*w**2 - 24017 wrt w.\nAnswer: -2520*w**3 + 262944*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from lykzk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000333 to six dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5+9.49\nAnswer: 14.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -15. Sort g, 1, 4 in ascending order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -13. Let c be 4\/6*27\/(-1). Calculate the least common multiple of (-40)\/c - 2\/9 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 - 31 = 16*j. Calculate the least common multiple of 130 and j.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 30 = 5*b, -6*j - 2*b - 34 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13263, -26545, -39837, -53139, -66451?\n\"Answer: -5*b**2 - 13267*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - p + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 142. Put 0.1, d, 42 in descending order.\nAnswer: 42, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - -6 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 158 = -314. Let c be (-3)\/(-8) - j\/16. Is 9 a factor of (c + 3)*36\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47435834 and 11561.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 24*m - 28. Let g(c) = 1. Let w(x) = -3*g(x) + o(x). Let v be w(-16). List the prime factors of (v\/6 - 2) + (-4)\/24.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2355)\/50 + 2\/20. Let q = -44 - h. Solve -5*m = q*r - 1, -7*m - 3*r + 2 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2. Let r = -17 + 19. Let t(k) = 4*k**r - k - 18*k**2 + k. Calculate z(t(n)).\nAnswer: -196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122100 - 112333122?\nAnswer: -112211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9167730\/23 or -398596?\nAnswer: -398596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 1. Let t be z(2). Let k be (-3 - -6)*40\/6. Let h = k + -2. What is the highest common factor of h and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34099775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**4\/16 - 7*k**3\/3 + 77*k**2\/8 - 25*k\/2 - 739. Suppose i(q) = 0. What is q?\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + ((-115)\/7)\/(-5). Solve d = -2*y - v, 8*y + 3*d + 7 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 378*g + 1069. Determine r(-119).\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 650 = -2*f, -2*d + 25 = 2*f - 235. Is 0.18 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19664311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -13*j**4\/8 - 25*j**3\/3 + 53*j**2. Differentiate g(p) wrt p.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*m**2\/9 + 120971*m\/9 - 40321\/3 = 0. What is m?\nAnswer: 1, 120963\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/2574*20\/(-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 5. Let o be w(5). Suppose 8*p - 3*p - 30 = o. Suppose 0 = -5*r - 184 + 154, 3*j - 126 = 5*r. Calculate the remainder when j is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:50 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3\/2 - 235*a**2\/2 + 875*a\/2 - 645\/2.\nAnswer: 5*(a - 43)*(a - 3)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 81 + -6 + 2 - -26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 5) in base 10?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.097 - -0.763. Let g = -0.77 + t. Round g to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -105?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 - 4*j - 1. Suppose b = -w - w + 11, -10 = -w - 2*b. Let l(o) = -22*o + 3*o - o**2 + 18*o. What is w*l(y) - r(y)?\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14124986, 5, -3, 3.\nAnswer: -3, 3, 5, 14124986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 6*s + 3. Let v be y(-6). Let w(b) = 21*b + 520. Let m be w(-25). Sort 4, m, v in descending order.\nAnswer: 4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m - i, 25 = m + 4*m - 4*i. Which is bigger: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 28. Let j be w(0). Let f = -30 - j. Let l be 3 - f\/6*-3. Solve -6*s - 12 = -l*s - y, -s - 3 = 3*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042491 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 70*t**2 + 3*t - 10. Let x(f) = -f**3 - 4*f**2 + 3. Let d(a) = -a**2 - 11*a + 8. Let n be d(-12). Let r be x(n). Is v(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469 = -2*a + 200*t - 33*t, 3*a - 36 = 4*t for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 10*m**3 - 30*m**2 + 15*m**2 + 5*m**2.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*i**3 - 118*i**2 + 118*i**2)*(2*i - i + 0*i + 2*i - 2 + 2 + (-6 + 1 + 4)*(i - 3*i + 3*i)) in the form g + a*i**2 + p*i**3 + r*i**4 + k*i and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by -13456?\nAnswer: -103\/6728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32636 and 3980.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182042 + -1103891\/6. Let m = -1923 - b. Calculate the common denominator of m and -79\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180975169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-14546\nAnswer: 872.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by 12\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10072*r + 3371*r + 3436*r + 3658*r.\nAnswer: 393*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3) + (9 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/9, 125, -261 in descending order.\nAnswer: 125, -5\/9, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:39 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*((-490)\/(-40) + (-11 - 0)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -23 + 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82413246 to the power of 1\/2, to the nearest integer?\nAnswer: 9078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -683, -56.47, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) 4\/11 (c) 3 (d) 863 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(0 - (-12)\/15). Let a be 246\/(-21) - j\/14. Let x = a + 18. Solve x*d - d = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 0.9. Suppose g - 6 = 5*b, 5*g - 1 = -5*b - 31. Let z = -2 + 4. What is the nearest to v in z, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1549766868 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rll when three letters picked without replacement from rlerelrererrelrerrl?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/27, -5, -4, 4\/5, 23?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 0*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33445\/(-140469))\/(15\/117).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 39233754.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 6:58 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4676 by -47775.\nAnswer: 668\/6825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1020*5\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42810 and 4110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 11. Let k be t(-4). Let r(q) = 32*q**2 + 4*q. Let z be r(-3). Let u be (-6)\/(-15) - z\/(-10). Calculate the greatest common divisor of k and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m = -12. Suppose 15 = m*w - w. Suppose -s = -5*x + 194, 199 = w*x + 3*s + s. What is the highest common factor of 26 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118296\/13 + 9100. Factor j*o - 4\/13*o**3 + 0 + 2\/13*o**4 - 2\/13*o**2.\nAnswer: 2*o*(o - 2)*(o - 1)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528 = -241*b + 6071 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79*(-138)\/(-81765)*1\/(-6)*3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/(-6) + (-15)\/6. Let i(y) = 15*y**2 + y + 13. What is the units digit of i(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2995 + 3039. Calculate the lowest common multiple of p and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:24 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 5 (c) 1\/5 (d) -0.5 (e) -54\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 2*w, 0 = -3*a - 4*w + 1 + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -533, -2230, -5059, -9020, -14113?\n\"Answer: -566*d**2 + d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2\/27, 0.9 in increasing order.\nAnswer: -2\/27, 2\/5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 34. Let y be r(-10). Is 12 a factor of (y\/6)\/((-4)\/(-204))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/(y**(-15)\/y))**(-1\/41) assuming y is positive.\nAnswer: y**(-78\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 190*y - 167*y - 989. What is the remainder when 44 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 6*u - 1. Find the common denominator of x(-3) and 19\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 20005?\nAnswer: 1bbb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4\/7 - 152*z**3\/7 - 288*z**2\/7 = 0.\nAnswer: -36, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let k be o(6). Let n be k\/(-4)*(-8)\/(-6). Does 5 divide 1 + n\/1 + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.9. Let g = -2.6 + 8.1. Let d = 6 - g. Sort d, 2\/3, j in descending order.\nAnswer: 2\/3, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147075 is divided by 129?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 3 (c) 1\/38 (d) 21\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-210))\/((-6)\/(-7))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/385815?\nAnswer: -4\/385815","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((8 - (4 + 2)) + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, i: 3, g: 2, n: 3, j: 2, m: 1}. Give prob of picking 1 j, 2 n, and 1 i.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqxx when four letters picked without replacement from {k: 2, q: 2, c: 5, v: 9, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -34\/4285?\nAnswer: -34\/4285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8661.8 or -0.1?\nAnswer: 8661.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2990530710?\nAnswer: 2, 3, 5, 33228119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -37*m + 92. Determine j(5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3012*x**2 + 7*x - 4. Let c be k(2). Let p = 361003\/30 + c. Find the common denominator of p and 17\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/1170*36\/(-90)*-50?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-118266806\nAnswer: -47306722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18. Let j be 0\/(-1) - (4\/(-4) + 1). Suppose 0 = -6*x + 3*x + 6. Solve 5*z + 5*w = j, 2*z - x*w + t = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1635160 (base 7) to base 16\nAnswer: -378ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-28 - -6 - (8 - 15)) + 156 + -15?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258662 >= 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4470 take away -3711222796?\nAnswer: 3711218326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 4.97. Let z = 3 + -10. Let q = z + 6.5. Which is the nearest to 1? (a) -5 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 - 290 = -5*i. What are the prime factors of i?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(-299)*(9 + (-1200)\/72). Factor -32*o**2 - n*o**3 - 1024*o - 32768\/3.\nAnswer: -(o + 32)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103889*t - 165*t**2 - 612*t**3 - 103889*t + 422*t**2 wrt t?\nAnswer: -3672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491366821 take away -1.2889?\nAnswer: -491366819.7111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 5:50 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 11) + 1 + 18. Solve -9*g = t + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -19\/6201?\nAnswer: -19\/6201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/12)\/(-1995)*2*-6?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 381 + s - 12*s - 398 + s. Give l(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) 0.4 (c) -1 (d) -1\/4 (e) 0.01 (f) 308\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 24. Let r be p(-10). Suppose 0 = -2*w + 6 + r. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -226*x - 153. Let k(m) = 1584*m + 1071. Let j(g) = -4*k(g) - 27*l(g). What is the first derivative of j(t) wrt t?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-252)\/(-64) + 7\/112. Let i(l) be the second derivative of 0 + 1\/12*l**2 + 15*l - 1\/72*l**d - 1\/120*l**5 + 1\/36*l**3. Solve i(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p. Let r(a) = -7*a. Let s(t) = t**2 - 6*t + 2. Let w = 0 - -4. Let y be s(w). Let j(o) = -o. Let c(d) = y*j(d) + r(d). Give c(q(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66797763\/4 - 1668432009\/100. Let y = u + -15122. Calculate the common denominator of 52\/15 and y.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s - 26. Let f be m(15). What is the greatest common divisor of f and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 12*v**2 + 14*v + 13. Let s be p(-13). Let w = 2 - -2. Suppose 5*j + w*a - 102 + 37 = s, 2*j - 29 = -a. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(2*s - 3*s - s) - 1 + s + 1 - 281*s - 23*s + 67*s.\nAnswer: -234*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*t. Suppose t*h + h = 0. Factor 2*w + 6 - 6 + h + 2*w**2.\nAnswer: 2*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 865534 and 1160.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24\/7 - -79\/21. Which is the third smallest value? (a) 0.152 (b) r (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -16059?\nAnswer: 16064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 155 = -865. Let u = c - 179. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2675, -2712, -2729, -2690, -2559, -2300?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c = 218 + 160 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 7*u - 6. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832 - 832 - 250*l + 252*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -38.56613?\nAnswer: -154.26452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.579 - -76.521. Let f = g + 491.9. Let o = -569.522 + f. Round o to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a - 3. Let u be i(2). Suppose 3*k - 20 - u = 0. Let o = k + 1. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 + 59*u**2 + 9*u - 29. Let b(o) = o**3 - 30*o**2 - 5*o + 14. Let z(q) = -7*b(q) - 3*l(q). Is 4 a factor of z(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/14 + (-3 - 21\/(-6)). Which is smaller: p or 46?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279b (base 15) to base 10.\nAnswer: 8471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -22.8. Let t = x - -2. Let a = 5.03 - 0.03. Put -0.1, a, t in decreasing order.\nAnswer: a, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -7 (c) 1 (d) 1.4754 (e) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 6029208*k + 470253888.\nAnswer: 4*(k - 1507224)*(k - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -4)\/(5\/(5*-4)*6). Solve -r + 5*r = -4*p - b, 5*r - 23 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzjj when four letters picked without replacement from xmjmzzmmzmzmmmj?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*h - 3 = -76*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b = 51*b - 32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59\/6 + -913\/102. Let t = 5356 - 5355. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (22 - 9) + 56 + -18?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29037.4698 + 29040. Let a = 0.0598 + i. What is a rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:15 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let o(s) = 23 + 2*s - 6*s - 22 + 6*s. Let d(g) = 4 + 1 + 3 + 3*g - 6. What is h*d(p) - 5*o(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = 6. Suppose 2*f - 13 = -5*b + 321, c*b + 5*f = 189. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-23 + (-3 - (-9 + -2 + 9)) - -11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-42) + 1990\/(-140)*-2. Calculate the greatest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2*94\/(-4). Suppose -9*g + q = -5*g. Calculate the smallest common multiple of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-6)*(-6)\/4. What is the derivative of -n**3 - b*n**3 + 1 - 4 wrt n?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3797, -7640, -11461, -15248, -18989, -22672, -26285, -29816?\nAnswer: -33253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79919043 to the power of 1\/2, to the nearest integer?\nAnswer: 8940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7093 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 - 12*h**2 + 32*h**2 + (-4 + 4 + 4*h**2)*(-3 - 4 - 13).\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100896128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2*t**2 + 7*t + 9. Let v be (-2)\/(-5) - (-33)\/5. Let w(h) = -169*h + h**3 + 8 + 87*h - 2*h**2 + 88*h. Give v*w(s) - 6*z(s).\nAnswer: s**3 - 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*c**2 - 26*c**3 - 1 - 21*c**3 + 552*c**2.\nAnswer: -47*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfy when three letters picked without replacement from {b: 2, f: 1, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, -1, -3 in ascending order.\nAnswer: -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309600 less than 6309600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.54. Let r = 708\/5 - 142. Which is the closest to r? (a) u (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 0*v**3 - 10*v**3 + 22*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-60))\/((-4)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -42?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/24 - 92*z**5\/3 - 3665*z**4\/24 - 305*z**3 - 3925*z**2. Factor u(l).\nAnswer: -5*(l + 1)**2*(l + 366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d + d**4 - 26*d - 2*d**3 - 3*d**4 - 812799*d**2 + 812772*d**2 in the form r*d**2 + n + s*d**3 + l*d**4 + t*d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 23833*i + 2 - 23822*i + 3*i**2 - 3.\nAnswer: 3*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/2 - a**3 - a**2\/2 + a + 24. Let m = -10 + 15. Let c be (-25)\/(-10)*(-4)\/m. Determine t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185199572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 50 - 68. Solve -4*o + 0 - 12 = 0, 2*i + w*o = -9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -510 - 5?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 8030520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23141 times 0.1194?\nAnswer: 2763.0354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 + 134*b - 32. Determine l(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 6756?\nAnswer: -6762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*n + 2*o, -30*n + 2*o + 44 = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1 - 1 + 0 + 53*n as f + z*n and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93 - (-25 + -64)) + -1 + -15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5764411 = 5764393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 5*c - 4. Let w(l) be the first derivative of l**3\/3 - l**2\/2 - l - 2. Let x(v) = q(v) - 6*w(v). Give x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**3 + 9*u**2 - 88*u - 14. What are the prime factors of j(7)?\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, h: 1, f: 1, e: 1}. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d - 575 = 584 + 401 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109 times 36?\nAnswer: -3.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -55*l + 206. Calculate r(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/9 - (-2)\/(-3). What is the second derivative of 0*k + a*k - 6*k**3 + 3*k**3 wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273 and 390?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3156 + -3117. Solve t = 17*m - 30*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -4*z**2 - 13*z + 25. Let w be x(-9). What is the highest common divisor of 413 and w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 1, z: 1, i: 3, b: 1}. Give prob of sequence zpb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 232369\/18 - 12916. Calculate the common denominator of -13\/1364 and s.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359 - 17.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 5*r + 0*r)*(-16*r**3 + 5*r**3 + 5*r**3) + 388*r**4 - 386*r**4 + 5*r - 25*r**2 - 3*r to x + v*r**4 + l*r**3 + a*r + h*r**2 and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from {b: 7, r: 2, j: 3}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376 and 25192.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.945216 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 716.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 44049*z**2 + 264402*z.\nAnswer: -3*z*(z - 14689)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 6*b - 27. Let i(r) = -3*r**2 + 8*r + 29. Let s(u) = 5*i(u) + 6*n(u). What is the remainder when 100 is divided by s(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 4*t**2 - 4*t - 2. Suppose -33 = -13*p + 32. Let h be (1 + 1)*p\/(-2). Determine b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 22 = -17, -6*q + 3*p + 88707 = 0. Is 84 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 4) to base 6\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23 and -30.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 16*j**2 - 10*j + 10. Let m(p) = p**2 + p - 1. Calculate a(b) + 10*m(b).\nAnswer: -2*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-64) + 3 + 7185\/10. Which is greater: p or 731?\nAnswer: 731","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.009 - 1.947. Let q = z + -0.344. What is q rounded to zero dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -76.122. Let y = -1.878 - l. What is the second smallest value in 5, 0.6, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**2 - 16 + 2*m - 1\/3*m**3. Give g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4593, 4569, 4545?\nAnswer: 4521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*m = -1895, 5*m = -5*p + 3*p + 937. What are the prime factors of p?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 8 - (11 - (-8 + 12)) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Suppose -45*j + 44*j = -12. Suppose j = -i + 6. Let t(n) = -4*n - 1. Give i*a(w) + t(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 6735559?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 9, 24, 39, 54, 69?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 2*c**2 + 0*c - 16 - 3*c. Let m(i) = i**2 - i + 1. Let x be m(3). Does 10 divide p(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/91)\/(63\/546)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.1, -0.1, 34?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2566 = f + 4*q, 139*q - 136*q = 4*f - 10131. What is the least common multiple of f and 21?\nAnswer: 17766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 81 + 2*b**2 - 4*b**2 - 81*b - 25 + 59*b. Let y be t(-13). Solve 2*g - y*w - 2 = 0, -w = 5*g - 5*w + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88.7 times -1\nAnswer: -88.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7710, 30928, 69658, 123900, 193654, 278920, 379698?\nAnswer: 495988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27489973031 and 0.4?\nAnswer: 27489973030.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/7 - 12532*h\/7 + 12535\/7 = 0. What is h?\nAnswer: -12535\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59136, -4, 1.\nAnswer: -4, 1, 59136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 18*n**2 + 3*n + 27. Let o be f(-18). Let c be 48\/18*o\/(-12). Solve -l - c = 4*l + a, 2*a = -2*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 2.135. Let q = p - -0.0178. Round q to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017512828 rounded to six dps?\nAnswer: 0.001751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/360 + 139*b**5\/30 - 19321*b**4\/6 + 10742476*b**3\/9 + 284*b**2 - 3*b. Factor n(o).\nAnswer: -(o - 278)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -12.\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-16)\/(-2304) + (-2167)\/(-99).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 12:43 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 712.887612 - 648.6874614. Let l = 64.2 - w. What is l rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3 - b + 5 - 3 - 2. Let n be p(5). What are the prime factors of -3 - n - (-13 + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 1. Let w = 6 + -7. Let k be j(w). Suppose -5*h + 14 + 1 = k. Let z(x) = x + 3. Give z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z. Let r(p) = -65*p. Give r(c(b)).\nAnswer: -845*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -448.306 + 5.206. Let g = 471 + t. What is g rounded to 0 dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - -58 - (2 + 5) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/4 + 4*z**3\/3 + 3*z**2\/2 - 3*z - 35. Give m(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 5*x**2 + 6*x + 3. Suppose -5*c - 5*s = 45, -5*c - s = -0*c + 25. Give t(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(60)\/(sqrt(24)\/sqrt(2)) - (sqrt(160)\/(sqrt(24)\/sqrt(3)))\/sqrt(4).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/(-40))\/(30\/32). Sort -0.2, t, -1\/3 in descending order.\nAnswer: -0.2, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Suppose s = 4*b + 2 - 14. Solve -x - 5 = 5*r, b*r + 0*r = -5*x + 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -808256 - -808284.99256. Let v = d - 29. Round v to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -179 and 32.\nAnswer: -5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*s - 230415, -3*s + 71599 - 417184 = -3*m. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:33 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28034863?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 + 1776*a**2 - 13956*a - 35040 = 0.\nAnswer: -2, 10, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7028012 and 3.\nAnswer: -21084036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61727 and -0.6097722.\nAnswer: -61727.6097722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/7 - 11*k**2 + 1158*k\/7 - 1080\/7 = 0. Calculate k.\nAnswer: -90, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1458 + 1461. Calculate the greatest common factor of v and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*m + 12 = -86, 4*k + 2*m + 134 = 0. Let i be (37464\/(-18))\/(k\/(-6)). Let j = i + 386023\/1054. What is the common denominator of -65\/14 and j?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0192915 to 4 decimal places.\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25023d (base 16) in base 13?\nAnswer: -66bc68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**(-3\/23)\/(((r*r**11)\/r)\/r**(-2)) assuming r is positive.\nAnswer: r**(-300\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = 1. Let l = -2 + s. Let r(g) = g**2 - 12*g + 15. What is the units digit of r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/16442902 and -47\/208138.\nAnswer: 16442902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 0*m**4 - 2*m**4 + (m + 0*m + m)*(2*m**2 - 2*m**3 - 2*m**2) + 0*m**4 + 2*m + 0*m - 3*m**4)*(82*m + 2417 - 2417).\nAnswer: -656*m**5 + 164*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/13 - 4*o**3\/13 + 186*o**2\/13 + 540*o\/13 = 0.\nAnswer: -9, -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6879959639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1270440*r**3 - 2540859*r**3 + 1270428*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 140d?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 17 = -v + 5*r, -4*v = 4*r - 664. Let g = v + -93. What is the remainder when g is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 615.\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -85. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100111?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-18) + 0 + 0. Let a be (-160)\/(-70) - c\/(-7). Is 0.051 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2029380\/13 or -156105?\nAnswer: -2029380\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 4*l, 0 = 5*g - g - 2*l - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(972) + -6*2*sqrt(972) + sqrt(972) + sqrt(972))\/(sqrt(18)\/(sqrt(200)\/sqrt(4))).\nAnswer: -270*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:49 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose -158 = -17*m - 62*m. Suppose -m*v - t = -900, -2*v + o*v + 3*t = -908. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166766 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*((3*g - 5*g**2 - 3*g)*(1 - g - 1) + 2*g - 2*g**3 - 2*g) in the form m*g**3 + d + c*g + v*g**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 3*j**2 + j. Calculate i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and 27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a - 87*a - 635 = -51*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r. Let p be ((-76)\/6)\/((-2)\/6 - 0). Suppose -2*z + 116 = 2*h - p, -145 = -2*h - 5*z. Let t(o) = -3*o + 80 - h - 6*o**3. Give 3*n(i) + t(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**2. Let j(a) = -6*a**2 + 665*a - 1329*a + 664*a. Determine -6*g(b) + 5*j(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from zzzzjzzjzzzzzjzzzzjz?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 - 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/534 and -1\/534?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -92a2 - -2a97?\nAnswer: -670a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 72636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*z + 19, z + 1 = 4. Factor -212*a**d + 425*a**2 + 144 - 212*a**2 + 24*a.\nAnswer: (a + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46596160417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 c, and 1 e when four letters picked without replacement from {r: 6, e: 1, c: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(28\/56) + (-47)\/(705\/630)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17022 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 49, 75, 117, 181, 273, 399?\n\"Answer: l**3 - l**2 + 12*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4899200 divided by -3200?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 18*k**2 + 5*k - 97. Calculate z(-19).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 75.\nAnswer: -5, -3, -1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, l: 2}. What is prob of sequence glgl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31944 divided by -2662?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -1\/28, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215242534 + -1?\nAnswer: 215242533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1008)*-5 + 3)*-2*-6.\nAnswer: -1440*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 2*a - 2. What is the lowest common multiple of r(2) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8910 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13093136 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*z = 425*z + 470*z + 31131 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 13. Find t such that 9*t**3 - l*t**5 + 0 + 26*t**4 - 27*t**3 - 2*t**2 + 0 + 4*t = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-1) + (0 - -224)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 + 260 = 2*b + 4*i, -6*b + 4*i - 28 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22555703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + a8e?\nAnswer: a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, t: 13}. Give prob of sequence qqt.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -457*i**2 + 138465*i + 1824. Give d(303).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.202 + 0.098. Let g = 0.16 + -0.26. Let u = -0.3 - -0.2. Which is the closest to u? (a) g (b) 2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655 - 84 = 3*c - 5*x, 5*c = 4*x - 1210. Let f = c - -260. Calculate the smallest common multiple of f and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84.2 + -3.2. Let f = i - 81.0000074. Round f to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3053 + 137387\/45. Let z(g) be the second derivative of 0*g**2 + 0 + i*g**3 + 2*g + 1\/90*g**4. Factor z(y).\nAnswer: 2*y*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {d: 10, c: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*l**5*p + 2*l**5 + 34*l**2*p - l*p - 2*p wrt l.\nAnswer: -4320*l**2*p + 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 23*r**3 + 260*r - 120 + 17*r**3 - 190*r**2 - 5*r**4 - 4*r**3 + 19*r**3 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j*x**4 + 3*j*x**3 + 2731*j*x**2 - 13*j*x + 84*x**4 - 2*x**3 wrt x.\nAnswer: 216*j*x + 18*j + 2016*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f8d8 - -23?\nAnswer: -6f8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:28 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 1792449.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 3*o = 7*f + 34710, -f + 5*o = -11566. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from tptbxxttu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 31*p**2 + p - 65. Let i be z(-14). Suppose 6303 = 25*g - i. List the prime factors of g.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**2*q)))**(-1\/7)\/(q\/(((q**5\/q*q)\/q)\/q))**(-2\/51))**(-7\/5) assuming q is positive.\nAnswer: q**(181\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 0*x**2 - 365 - x**2 + 427 - 9*x. Suppose -3*j + 25 + 20 = 0. What is the remainder when y(-10) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from bvwddiiivvivd.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00294081031 rounded to 6 dps?\nAnswer: -0.002941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 1, w: 1, q: 1, l: 1}. What is prob of sequence ql?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxfu when four letters picked without replacement from fpxuufu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109123745*f**2*z**3 - 4*f**2*z - f*z - 12*f + 2*z**2 - 6237*z - 3 wrt z.\nAnswer: -654742470*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1914 or -1916?\nAnswer: -1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 6 + 9*a - 6 - 3 + 2. Determine j(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -0. Let x be f*2\/(-4)*11. Let a = x + -5. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = m + 2*m - 92, 2*m = -3*f + 54. List the prime factors of (61 + -1)*12\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1*-5 + -1. Let j be -1 - (-3)\/((-18)\/(-12)). Let q be (-4)\/(-16)*j + (-44)\/(-16). Which is greater: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -245*u**6\/6 + 2*u**3\/3 - u**2 - 2*u - 1000. What is the second derivative of d(f) wrt f?\nAnswer: -4900*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:00 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28021, 158, 3, -4 in increasing order.\nAnswer: -4, 3, 158, 28021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*m - 5, 3*f - 4*m = 35. What is the tens digit of ((-6)\/f)\/((-8)\/220)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**3 + p**3 + p**3 + (5*p**2 + 0*p**2 - 2*p**2)*(4*p - 4*p - 2*p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1349 + 12474. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 3*i - 3. Let f be p(-1). Let o be (-2)\/24*24\/9. Which is the third biggest value? (a) o (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1 (c) -92 (d) 73 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(275)\/(-1*sqrt(11)))\/sqrt(5) - (-1 + (sqrt(405) + 2 + sqrt(405))**2)).\nAnswer: -3246 - 146*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/374 and -39\/869.\nAnswer: 29546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11*o = 136. Suppose -v = 2*u - 3 + 1, -o = -5*v - 3*u. Let c be 668\/v + (2 - (1 - -3)). What is the highest common factor of 66 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 37*y**2 + 106*y - 50. What is the lowest common multiple of 24 and n(34)?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120860 >= -120811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(175)*2) + -4*(-3*sqrt(175) + sqrt(175))*2)**2.\nAnswer: -600*sqrt(7) + 17536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 6*o**2 - 2*o + 13. What is the remainder when 314 is divided by j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tultyuyyytu. Give prob of picking 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-207)\/(-21) + (-2)\/(-14). Suppose 9*d - 5*d - 2*l = -30, -2*l = -2*d - 14. Let a(w) = -4*w - 19. Let g be a(d). Solve -h = i - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in -1, 0.06, -7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2. Let x(v) = -90733*v. Calculate x(s(j)).\nAnswer: -544398*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22474412.\nAnswer: 2, 269, 20887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -1923*w**2\/2 - 108381*w\/2 - 53229 = 0. What is w?\nAnswer: -35486\/641, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 8*s**2 + s. Let v = 0 - 7. Let f be (60\/(-25))\/((-24)\/(-60)). Let d(l) = -7*l**2 - l - 2*l**3 + 9*l**3 - 9*l**3. Give f*m(g) + v*d(g).\nAnswer: 2*g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -21*p**2 + 43*p + 24. Let z(n) = 7*n**2 - 14*n - 8. Let l(k) = 2*y(k) + 7*z(k). Is l(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*z - 40 = -5*z, 176 = 4*q + 4*z. Let b(r) = 2*r + 32. What is the common denominator of b(8) and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14917771 rounded to the nearest 10000?\nAnswer: -14920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1766869008 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9021\/22698 - ((-2 - -1) + (-7)\/(-6))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*d. Let m = d - 4. Let l(n) = -n + 7. Let w(p) = -2. Let v be ((-7)\/(-2))\/((-3)\/6). Give m*l(i) + v*w(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 17 (b) 1 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*f + 17 = -0*f, -2*z + f = -9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from agaaggagnaggraggagg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)\/g**0 assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 + -35. Let o = -1105 + 1135. What is the greatest common divisor of s and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2268)\/(-24))\/27*((-132)\/(-150))\/(-11).\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1789+-12067\nAnswer: -13856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 3, -16, 6, 4 in increasing order.\nAnswer: -16, 3, 4, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 15*a - 16*a - 5)*(-2*a + 2*a + a) to the form r*a**2 + h*a + l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1*h)\/h)\/(h\/(h*h**(-4\/5)))*(h*h**34)**33 assuming h is positive.\nAnswer: h**(5781\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z**2. Let h(a) = 23*a**2. Calculate k(h(v)).\nAnswer: -5290*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 13*o**2 - 33*o - 41. What is r(15)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/7350 and -71\/147?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(66\/(-88))*(-21 + 3796\/182).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -18*o**2. Let p(y) = -379779*y. Give h(p(a)).\nAnswer: -2596177599138*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-5 + (sqrt(1377) - ((sqrt(1377) + 2)**2 - sqrt(1377)))) - ((sqrt(306)\/(sqrt(9) + sqrt(27)\/sqrt(3)))\/(sqrt(12)\/(sqrt(12)\/sqrt(2))))**2).\nAnswer: -22209\/4 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 - 64 = j, -4*w + 204 = -4*j. Which is bigger: -56 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -584 in decreasing order.\nAnswer: 0, -1, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -14.96. Let i = 1.92 + y. Which is the closest to 0? (a) 2 (b) i (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d - 905 + 6341. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/3)\/((-4)\/6). What is the greatest common divisor of 128 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1288 - -1333. Solve 10*m - w = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*b**5 + 31*b**3 + 30*b**5 + 6 - 21*b + 19*b wrt b?\nAnswer: -20*b**3 + 186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {v: 1, l: 4, e: 5, o: 1, x: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 251848387.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -715, 0, -2\/3, 42?\nAnswer: -715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -213*h**3 - 361*h**3 - 2*h**2 + 4 - 3. Is p(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -77*a**2 - 2*a**3 + 2*a - 105*a**2 + 182*a**2. Let y(s) = -2*s**3 + s**2 + 3*s. Let i be (-1)\/2*4\/(-1). What is i*y(c) - 3*l(c)?\nAnswer: 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16552441 + 1035.393?\nAnswer: -16551405.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by 3.\nAnswer: -272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 5*n + 16. Let p be w(7). Solve p*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54720 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 354.8 - 349.8. Which is the third smallest value? (a) 3\/2 (b) r (c) 0 (d) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9061 - -57) + -1 + (-1 - -4).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*a**3 + 2*a**2*v + 234*v wrt a.\nAnswer: 261*a**2 + 4*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442837 divided by -49753?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59548 less than or equal to 59544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8098317 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 - 8 + 25*c + 6 - 30*c in the form l*c**3 + z*c**2 + i + h*c and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 - -1?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:36 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7430995 and 16410?\nAnswer: 44585970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13531443.\nAnswer: 3, 4510481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16 - 0\/(-4))*1. Is 6 - c\/8 - -13611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -3)\/((-6)\/(-9)). Let g = -2 + 4. What is the third derivative of i**2 - g*i**2 + 4*i**z + 0*i**3 wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -967, -891, -835, -805, -807, -847, -931?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4117 + 5300. Let f = -5080 + c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193 and 1525159919?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(((-1105)\/1050)\/(-221))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37620, 38979, 41244, 44415, 48492, 53475?\n\"Answer: 453*h**2 + 37167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 4, 0, -3, 9.\nAnswer: -3, 0, 4, 9, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3288*k. Let z(r) = 32*r. Calculate z(a(i)).\nAnswer: 105216*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - z**3 + z**2 - 2*z**3 + 2)*(1 + 3 - 1 + (0 - 1 + 2)*(-4 - 2 + 4)).\nAnswer: -2*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-84)*7*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-4)*192\/864*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 2151?\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 399.5 - 399. What is the biggest value in 4, q, -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -10 - 118 - (-243 + 239)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (19 - 17 - 10) + 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 932*r**6 + 901*r**5 - 237*r**2 + 6521 wrt r?\nAnswer: 111840*r**3 + 54060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + -3)*-6)\/(17\/170*-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3933*q + 1958*q + 1962*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - f = 8146 + 957, -5*f + 10 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.1. Let a = -0.5 + 4.5. Let p = a + -4. What is the biggest value in r, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)**(5\/3)*n*n**(1\/5)*n*n\/(n\/(n\/n**(-2\/5))))\/((n**(-1\/2))**(24\/11)*(n*n**0*n)**(-6\/7)) assuming n is positive.\nAnswer: n**(2466\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3828, 0.2, 2\/5 in descending order.\nAnswer: 2\/5, 0.2, -3828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 2532.\nAnswer: -2\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -75\/8*v + 9\/4*v**4 + 9\/2*v**2 - 3\/8*v**5 + 39\/4*v**3 - 27\/4 = 0?\nAnswer: -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 6*a**2 - 3*a - 6. Let v be y(-3). Suppose 0 = -0*u + 4*u. What is the third smallest value in u, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426123 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121842857 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -753 + -3094?\nAnswer: -3847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(4032)) + -3.\nAnswer: -3 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37098360?\nAnswer: 2, 3, 5, 13, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9424512 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(77)*1)\/((sqrt(77)\/sqrt(44) - sqrt(7)) + sqrt(7)) + -5*-1*(2 + sqrt(11)) + -2)*-5)**2.\nAnswer: 6000*sqrt(11) + 63475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 23*q - 29. Let i be 140\/(-6) + 132\/99. Let w be n(i). Sort w, -2, 4 in increasing order.\nAnswer: w, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*(k*k*(k\/(k*k\/(k*k**0))*k)\/k)\/k)**3*k**(-2\/27)*k**36 assuming k is positive.\nAnswer: k**(1051\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 2*j + 10. Calculate t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = 2*z, 2 = -3*z - a + 6. Is z smaller than 23\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.503 * -9.09053.\nAnswer: 4.57253659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from sbybbsddsb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3009 + 3015. Solve 8*c + b + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67201\/29 - 2317. Let v = 71\/58 + j. What is the closest to 0.1 in 0, -0.4, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -62 (c) -1.539 (d) 5 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-144)\/18 + ((-72)\/(-7) - 88\/308). Let b = 24 - 21. Factor -18\/5 + 3\/5*a**j - b*a.\nAnswer: 3*(a - 6)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 107*l - 6154 + 61*l - 305*l + 6155.\nAnswer: -339*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-44) - (-19 - (-1332)\/72)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -971.\nAnswer: -1942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 20 (c) -5 (d) 11\/4 (e) 0.4 (f) -7.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 211, 201, 177, 133, 63, -39, -179?\n\"Answer: -c**3 - c**2 + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -3\/4*z**4 + 2*z + 0*z**3 + 1\/56*z**8 + 0*z**6 + 0*z**5 - 22 - 23\/42*z**7 + 0*z**2. Find the third derivative of c(g) wrt g.\nAnswer: 120*g**3 - 1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 2*z. Let c be q(2). Suppose -j = 4*m - 14 + 3, 4*m - 5*j - 41 = c. Suppose 0 = 2*w - m*w + 6. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13058.\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**2\/3 - 6902000*m\/3 + 64419712 = 0.\nAnswer: -1725528, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -365*r**5 + r**4 - 181*r**2 + 3*r?\nAnswer: -21900*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**3 - 26*f**3 - 71*f**3 - 35*f**3.\nAnswer: -154*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + 12b?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 56*s**2 + 189*s - 710. What is w(59)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*d**4*t**2 + 54*d**4*t + 3*t**2 - 170 wrt d?\nAnswer: 36*d**3*t**2 + 216*d**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**4 + 84*k**3 - 58*k**2 - 36*k.\nAnswer: 2*k*(k - 1)*(k + 9)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x*x**(-2\/7))*x)*x))**3 assuming x is positive.\nAnswer: x**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103013130 - 2310?\nAnswer: -103022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:01 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -63 - 39. Suppose p = 3*n + 2*l, -2*l + 7*l + 48 = 2*n. Suppose -2*q + s = -85, -s + 0 - 1 = 0. What is the greatest common factor of n and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3 + 6*3\/18. Suppose t*f - 2150 = -595. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, m: 2, a: 3, t: 4}. Give prob of sequence mma.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 - 2*l + 2. Let g be y(2). What is the highest common factor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 - 1. Suppose -l + 0*l = -4. Suppose -3*o - l*i - 5 = 2*o, 3*o - 4*i = -3. Let g(m) = 3*m**2 - m - 2. Determine o*g(f) + 2*j(f).\nAnswer: -2*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*c*n**3 + 277*c*n + 176061*n**3 wrt c.\nAnswer: -17*n**3 + 277*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3333?\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2330 - (-4 + 6)*2. What is the hundreds digit of (-24)\/(-84) + t\/(-28)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317322703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26947 = 4*m + 4*d - 40617, -4*m = 2*d - 67572. What is the highest common factor of m and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avaa when four letters picked without replacement from {v: 4, a: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -635 - -630. What is the nearest to 1 in i, -0.2, -10\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3*u - 6 + u - 2 + 2 + (-1 + 0 + 3)*(3 - 3 + u) + (-5*u - 7*u + 5*u)*(-1 + 2 - 2) - u + 4*u - 2*u to the form a + r*u and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50.38 * -9962\nAnswer: -501885.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, n: 3}. Give prob of picking 1 z and 1 n.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64\/3 - 21. Let o = -3.4 - 4.6. Let i = o - -1. What is the third biggest value in -4\/7, i, j, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 109627\nAnswer: -12058.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 + 4*r + 8. Let k be p(-7). What is the greatest common factor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - z + 1. Let o be k(-3). Let r = 59 - o. Suppose a + 0*a + 4 = m, 0 = 4*m + 3*a - r. Solve -m*h - 2*i = -3*h + 12, -i - 11 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 - 741*r + 19409. What is c(58)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 17 + 5 + -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 400922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 730 divided by -264.\nAnswer: -365\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53149795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 13 = 21*j + 5*l, -j - 3*l = -9. Let x be 2\/(-4) + 9\/2. Calculate the common denominator of -43\/12 and 354\/x*(168\/(-54) + j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c7c61 - -3?\nAnswer: -3c7c5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e (base 15) to base 14.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 3*k - 11*k - 8*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222*a**5 - a**3*t**2 + a*t**2 + 2*a - 27*t wrt a.\nAnswer: 4440*a**3 - 6*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 2100. Let j(z) = z - 2. Suppose -5*p + 1 + 9 = 0. Let f be j(p). Let c be d(f). Round c to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*u + 65739 + 199959, -3*u = -2*c - 159424. List the prime factors of u.\nAnswer: 2, 5, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)*b**13*b*b)\/(b\/((b**11*b)\/b))**(7\/2) assuming b is positive.\nAnswer: b**(103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 5*s - 5. Let a be g(-6). Suppose 4*z = 2*c + 3*c, -5*c + z = -15. Sort -5, a, c in decreasing order.\nAnswer: c, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 s when three letters picked without replacement from {s: 2, v: 3, e: 1, g: 1, u: 1, q: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 10011022?\nAnswer: -10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80808763 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 5158091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 123 = 18*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -281 + 3?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 1612*l\/3 - 324818\/3.\nAnswer: -2*(l - 403)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 20. Let z = -189 + 397. Let a = 428 - z. What is the highest common divisor of a and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 5.04. What is the closest to 2\/3 in 9, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -3)*9\/(-2). Let u = p + 11. Solve -3*k = -3*l, 2*k + 2*l = -u*k + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*w**6 - 256*w**5*y**3 - 12*w**2*y**2 - 183*w*y**3 - 8 wrt w?\nAnswer: 24600*w**3 - 15360*w**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6189 (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3*s + 2*s + 26 + 144 = 0, 5*s - 40 = 2*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 19*z + 447. Let w(n) = -7*n + 1. Determine s(y) + 3*w(y).\nAnswer: -2*y + 450","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -3\/2, 70, 5, 1\/6 in increasing order.\nAnswer: -3\/2, -3\/7, 1\/6, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124149078, 124149080, 124149082, 124149084, 124149086?\nAnswer: 124149088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9992195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (-5*(sqrt(147) + 0 + 1 + sqrt(147) + sqrt(147) - (-2 + sqrt(147)*-2))*1 + 0)**2*-2.\nAnswer: -184199 - 10500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 39*y**3 + 7*y**2 + 2*y. Suppose 0 = -o + 3*o - 12. Let g(k) = -20*k**3 - 4*k**2 - k. Let d(z) = o*c(z) + 11*g(z). List the prime factors of d(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = r - 7798 + 2723, -r + 5*q + 5040 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 18*h**2 + 48*h - 131. Calculate m(5).\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (28 + -16 - (-3 + 18)) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 + (-2 + 1 + 0)*(-5 + 2 + 1))*(27086252*g**4 + 188 - 27086252*g**4 + 3*g**5).\nAnswer: 3*g**5 + 188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 - (-1456)\/126)*3\/2. Put 4, h, -39.4 in ascending order.\nAnswer: -39.4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4279 is divided by 226?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.063736 - -6\nAnswer: 5.936264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -77275 and -77277 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/(-6) - 4\/(-6). Suppose -4 = y + 2*t - 6, 5 = y + 5*t. Let o = y + j. Let u(q) = -2*q - 6. What is u(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 29.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 4*s**2 - 4*s - 1. Let y be m(5). Let r(d) = 31*d - 5. Is r(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -27) + (-4154)\/201.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*5\/315)\/(2\/((-168)\/60))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559420?\nAnswer: 2, 5, 83, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61951 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (640\/(-448))\/(135\/(-42))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11615)\/(-230) - 84\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -12220122222101?\nAnswer: -12220122222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 284399 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.01 - 21. Let b = c - 0.0099925. What is b rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/18 + 2\/((-2)\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/((-2)\/588*3). Let y = 51 + h. Let t(g) = -g**2 - 5*g + 7. Let w be t(-6). Solve m = w - y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 117\/8, -3.1, 199\/3?\nAnswer: 117\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 114135394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2035, -2043, -2051, -2059, -2067?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - -73. Let t = -106.998843 + q. What is t rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and (-35)\/100*-5*20 - 4.\nAnswer: 3689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/5? (a) 70 (b) 0.1 (c) 1 (d) 800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2\/(-1)*(-19)\/114). Is 14\/(-35)*(-118325)\/(-30)*c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 + 11*f + 12. Let p(w) = -68*w**2 - 79*w - 84. Let q(r) = 15*h(r) + 2*p(r). Let b(o) = -o**2 - 14*o - 15. Let y be b(-12). Give q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*a**2 - 67*a + 10*a**2 + 19*a**2)*(3 - 6 + 2).\nAnswer: -3*a**2 + 67*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1, 0, -13971, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066 + 2074 = 10*m. What are the prime factors of (8\/(-20) - m\/(-10))*1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i**3 - 15*i**3 - 14*i**3 - 5*i + 5*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 990 and 54623525.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102708542543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 2*k**2 + k**2 - 2*k + 0*k. Suppose 0 = 2*u + 4*g - 4, 3*u + 8 = 7*u + g. List the prime factors of d(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123963, -0.5, 4, -4, 1 in decreasing order.\nAnswer: 4, 1, -0.5, -4, -123963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1466141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 208 = 2*f. Suppose -4*j - f + 384 = 0. Calculate the least common multiple of j and 6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - -2*sqrt(8)*-2)\/(sqrt(2156)\/sqrt(11)).\nAnswer: -3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (596\/30)\/(192\/80) and 17\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2. Let r(q) = 5*q**2. Let h(k) = -2*k**3 + 57*k**2 + 28*k + 27. Let m be h(29). Let l(d) = m*f(d) - 3*r(d). Let u(j) = 21*j**2. Give l(u(x)).\nAnswer: -1323*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, -11, -177 in ascending order.\nAnswer: -177, -163, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 28*f - 2*f**4 + 8888*f**3 - 4445*f**3 - 4437*f**3 as z*f**4 + m*f**2 + t + j*f**3 + q*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99336361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -37*y. Let m(o) = -13*o. Let k(n) = -17*m(n) + 6*w(n). Let q(h) be the third derivative of -h**4\/12 - h**2. Calculate -3*k(j) + q(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 0*b**2 - 2*b**2. Let r(n) = 2*n + 12. Let x be r(-6). Let v(o) = 3*o**2 + x*o**2 - o**2. Give v(c(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a + 5. Let v(x) be the second derivative of -x**3 - x**2 - 3*x. Let f(m) = -12*m + 166. Let l be f(14). Determine l*p(b) - 5*v(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-2)\/(-16)). Let o(l) = 14*l + 6. Is o(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 503, 2067, 4687, 8369, 13119, 18943, 25847, 33837?\n\"Answer: x**3 + 522*x**2 - 9*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/21156*43*6)\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l. Let d = -29283 - -29282. Let y = 5 + -4. Put l, y, d in descending order.\nAnswer: y, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 9*y - 12. Calculate k(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 61?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1718155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695854 is divided by 694875.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*y**2 + 162\/7 + 36\/7*y.\nAnswer: 2*(y + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j**2 - j**2 + j**2 + (j - 1 + 1)*(-3*j + 4*j + 0*j) - 5*j**2 + 0*j**2 + 3*j**2 + (-5*j + 3*j + 0*j)*(0 + 0 - 2*j) to n + i*j + k*j**2 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-14)\/21 + 0 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/75, -1, 1, 2, 4\/3.\nAnswer: -1, -2\/7, -1\/75, 1, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 973997 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62926 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u**2 - u + 5. Let x be q(4). Suppose 2*a - 2*r + 4 = 0, -5*a - x = 4*r + 11. Let n(c) = -c + 1. What are the prime factors of n(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 332 * -37901.\nAnswer: -12583132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:46 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -21485, 5, 4, 1\/2 in ascending order.\nAnswer: -21485, 1\/2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86539062 by 587.\nAnswer: 147426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-5*j + 2*j + j)*(0*j - 5*j - 2*j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 85. Let k(t) = t**3 - 3*t**2 + t + 11. Let v(o) = 4*o + 35. Let f be v(-8). What is the remainder when z is divided by k(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 23*v + 14. Determine f(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 + 7*d**3\/3 + 3*d**2 - 1. Let q be g(-6). Let h be 0 - (2 - q) - 1. Put -2, 5, h in increasing order.\nAnswer: h, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:05 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(2\/3))\/r)**(-10)*(r**4)**(-10\/9) assuming r is positive.\nAnswer: r**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/7, 1, -338, 0.5 in increasing order.\nAnswer: -338, -2\/7, 1\/3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -115 + 295. Calculate the common denominator of 2\/l + -4 + 6890\/(-1200) and 103\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6284 divided by 1571\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2744736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + 3 - 3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 - 58. What are the prime factors of j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 2*z + 2*z + 21*z - 24*z - 3*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 + 206. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**0*x)\/x)**29\/((x**(-2)*x)\/x**(-1\/6)))**(5\/17) assuming x is positive.\nAnswer: x**(1765\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b8c1 (base 13) in base 5?\nAnswer: 13434140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b. Suppose -q + o = 31, 53 = -b*q - 2*q - o. Let p = -7 - q. What is the lowest common multiple of p and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/21 + 32\/14. Let s be 3 + 1 + 0\/i. Sort -1, -3, s in decreasing order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40438283 to the nearest integer?\nAnswer: 6359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 21 + 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194445197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*s - 78 = -128, 0 = 5*d - s + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38739 divided by -12913.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-594)*2\/((-4)\/3).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -4. Let i be ((-115)\/d)\/(13\/(-3) - -4). Let x be 6*(i\/(-10) - -3). Calculate the highest common divisor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15941710 and 86842.\nAnswer: 111591970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 plus -26?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4325, -8641, -12951, -17255, -21553, -25845, -30131?\nAnswer: -34411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggii when four letters picked without replacement from iiiiiggiiigiiii?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 2*y**2 - 20*y + 10. What is g(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + q + 27)*((-1 - 1 + 3)*(1 - 2 - 1) + 2 + 2 - 1)*(5 - 1 - 2)*(7*q - 4*q - 4*q) as m*q + v*q**2 + k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3240) + (sqrt(3240) + sqrt(3240)*1 - sqrt(3240)) + sqrt(40))\/(sqrt(8) + (sqrt(8) - sqrt(128))*-2).\nAnswer: 19*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*v - 1, 5*v = -5*x - 0*v + 60. Suppose -315 = -2*t - 3*t. Calculate the highest common divisor of t and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/24545 + 10922516\/220905. Let n be 32236\/360 + 2\/5. Let a = w - n. Find the common denominator of 97\/68 and a.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 111*q - 883. Calculate d(34).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221.48 - 5.52. Let w = o + 226. What is the nearest to -2\/7 in -0.3, 2\/7, -4, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3643 - 3646) + (52 + -1 - 3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/7*g + 0 - 3*g**3 + 3\/7*g**4 + 45\/7*g**2.\nAnswer: 3*g*(g - 3)**2*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 12*q - 10. Determine o(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13216\/59)\/((-63)\/(-18))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20501*o + 20501*o - 233*o**2 - 79*o**2.\nAnswer: -312*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = 2*m + u, 0 = -4*m + 5*u - 15. Let d(o) be the first derivative of o**4\/4 + o**3\/3 - 9*o - 1742. Calculate d(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 1822046 + 1822050 - 5*f - 4*f**2 + 5*f.\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w + 22*w - 3*u - 36 = 0, 13*u = 2*w + 6*u - 43 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 58 = 3*a - 2, 66 = 3*a - w. Suppose -3*m - 6 = u, 3*m + a = 5*u - u. Let c(i) = i**2 - 2*i + 3. Calculate c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d + 4 = -4*i, 0 = 4*i - d - 4. Calculate the lowest common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -46, 11, 17, -1 in decreasing order.\nAnswer: 17, 11, 5, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1828*b**2 - 3312\/5 - 10*b**3 + 11022\/5*b = 0. What is b?\nAnswer: -184, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -34 - (89 + -36 + -59)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -340, -926, -1776, -2890?\n\"Answer: -132*d**2 + 74*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = -p + 1, -5*p = -f + 3. Let v = 286\/45 - 2333\/360. Which is the third smallest value? (a) f (b) -1\/4 (c) 0.5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**2 - 29*g**2 + 25*g**2 - 14*g**2 - 10*g**2 - 26*g**2.\nAnswer: -77*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/967800 and 73\/4?\nAnswer: 967800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3300, 13206, 29716, 52830, 82548, 118870?\n\"Answer: 3302*v**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -12.8759640539?\nAnswer: 9.8759640539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Suppose 3*l = -2*l + 20. Let t be y(l). Let b(m) = -m + 1. Give b(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*-2681\nAnswer: 58982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0145273142 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162, -156, -146, -132?\n\"Answer: 2*i**2 - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(-60))\/(2\/(-30)). Solve -4*g = -a*g - 15, 0 = 3*c + 5*g + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g + 6912 = -84*g - 137*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n - 137. Suppose -5*l + 10 = 0, 5*p + 0*p + 105 = -5*l. Let f be d(p). Sort f, 1\/2, 6\/11 in ascending order.\nAnswer: 1\/2, 6\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1380, -1385, -1390?\n\"Answer: -5*d - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 322347533 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -715 divided by -27\nAnswer: 715\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 - -10?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3692 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-7)*(-1005)\/1675?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - 2*f)*(-25*f**2 - 10*f**2 + 0*f**2) - 72*f**3 + 40*f**3 + 35*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -15. Let m(p) = -p**3 - 4*p**2 - p + 4. Calculate the remainder when i is divided by m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 82307.5.\nAnswer: -164615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {n: 1, k: 8, u: 6}?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 15*b**2 - 474*b - 204. What is t(32)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5213 + -13004?\nAnswer: -22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2523 and 3107.908.\nAnswer: 5630.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 623300.5 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/1307 - 39267\/24833. Which is the closest to 0.3? (a) -0.3 (b) 2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 46*z**2 + 6*z + 26. Let u(x) = -9*x**2 - x - 5. Give -3*r(b) - 16*u(b).\nAnswer: 6*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -66, -139, -248, -405, -622, -911, -1284?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -10857, 800 in descending order.\nAnswer: 800, 0, -3, -10857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 783 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-10*v**2 + 2 - 2) - 2*v**2 + 0*v**2 + 4*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h**2 - 268*h - 1. Let k(q) = -4*q. Calculate g(k(f)).\nAnswer: 192*f**2 + 1072*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = 0, v + 2 = k. Factor -3 - 15\/2*n + 21\/2*n**k.\nAnswer: 3*(n - 1)*(7*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*24\/108.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*r = -61*r + 69*r - 1208 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h**2 - 12*h - 5. Let s(j) = 11*j**2 - 8*j - 3. Let p(m) = 8*s(m) - 5*v(m). Calculate the smallest common multiple of p(3) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175624 by -8.\nAnswer: 21953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362184091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -240 + 340. Calculate the remainder when (825\/c)\/(15\/12 + -1) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 - 165. Do q and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 13*z. Let h(i) = 5*i**2. Calculate b(h(c)).\nAnswer: 25*c**4 - 65*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13455, -4, 2, 8, 1, -33.\nAnswer: -13455, -33, -4, -2, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4712.6018 + -4713. Let j = 0.6 + -1. Let h = l - j. What is h rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpjpppppjpppj. What is prob of sequence ppjj?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*l - 176, -143*l = -4*m - 140*l + 150. Let s = -9.3 + 10. Let r = -0.3 - s. Which is bigger: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1604 - -1607. Factor 0 - v*z**2 + 3\/2*z + 3\/2*z**3.\nAnswer: 3*z*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -99.\nAnswer: 99.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15)\/((54\/(-12))\/9)*15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 + 42 = -5*y, g + 16 = -4*y. What is the derivative of 30*d**2 - 30*d**2 + 26*d**4 - 7*d**g - 5 wrt d?\nAnswer: 76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386406160 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 283 + 297 - 2*b**2 - 3*b**3 + 5*b**3 to the form x*b + a + l*b**2 + k*b**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1945, -2673, -3401, -4129, -4857, -5585?\n\"Answer: -728*h - 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 + 9464*j**2 - 5588480*j - 11214848 = 0.\nAnswer: -2, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002956 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 55 (c) 1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-4)*(120\/14)\/(104\/((-130)\/(-5)))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -76, -157, -324, -607, -1036?\n\"Answer: -5*z**3 + 2*z**2 + 4*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -0.1 (c) 0 (d) -377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x - 2*z - 439, 0 = 3*x + 4*z + 103 + 40. What is the biggest value in 2\/7, x, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 101417 and 372.99.\nAnswer: 101789.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3297 and -7674339?\nAnswer: 7671042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:43 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**2 - 100*p + 43. Give s(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7681 - 474b?\nAnswer: -bdcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 894787.7 centuries?\nAnswer: 89478770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2920064, 2919987, 2919908, 2919827?\n\"Answer: -p**2 - 74*p + 2920139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -114446 at least as big as -112984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 - 20*m**2 + 5*m - 62. Let i(f) = 20*f**3 + 101*f**2 - 25*f + 312. Let s(j) = 19*d(j) + 4*i(j). What is the second derivative of s(k) wrt k?\nAnswer: 24*k + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let q be h(5). Let a be q\/(80\/12)*-188. Let g = 85 + a. Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -238, -142 in decreasing order.\nAnswer: 0.18, -142, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 568436407 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 + 115 = o. Differentiate 52 + 272*u - o*u + 9 with respect to u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.048311 at least -2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72) + -1*sqrt(72)*-1)**2.\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (273\/(-4))\/(2\/(-8)). Suppose 4*c = -h + 87, -11*h = -14 - 19. What is the greatest common divisor of c and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-882)\/(-12)*-16*(-43)\/1204\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10788 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ab22 (base 13) in base 7?\nAnswer: 634234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 7*p**2 + 8*p - 6. Let s be x(6). Let u(l) = l + 17. Let d = -16 + 3. Let t be u(d). Solve 6 = -2*f + 4*v, 5*f - t*v = -v + s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 487, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/15 - 145150*q\/3 = 0?\nAnswer: 0, 362875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38880 and 21870?\nAnswer: 349920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21\/17 (b) 0.1 (c) 0 (d) 1\/11 (e) -1167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11743 - -2?\nAnswer: 11745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1973596, -1973598, -1973600, -1973602?\nAnswer: -1973604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t + 3. Let s be f(-2). Suppose -k + 15 = s*p, 2*p - 6*p - 4 = 4*k. Solve 2*z - z - p = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382363.\nAnswer: 382363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8251200 rounded to the nearest 10000?\nAnswer: 8250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/90 and -149\/8316.\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 6*f - 2*w + 2, -5*f - 5*w + 5 = 0. Let i be -8*(-1)\/1 - f. Let r = i - 3. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1322 + -1321. What is the third smallest value in j, -0.11, -0.04, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*q + 84*q + 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -173*((-1)\/((-2)\/4))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48727.57514 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5471 + 5471 - k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:08 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.1 - 11.1. Let y = 115\/3 + -38. What is the closest to -0.2 in s, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1281*-12287.\nAnswer: -15739647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**4 + k**2 - 3*k**3 - 3*k**2 + k**2 + 2*k + 4*k**4 to i*k**2 + u*k**3 + w + c*k + m*k**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32147 divided by -527.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 9*h - 9. Let i be o(-7). Let g be 7\/14 - 6\/(-4). Solve -i*y = -g*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 14. Suppose s = 4*f + 4. What are the prime factors of 23 - (1 + f\/1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97744875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7*2*4\/(-8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 19}. Give prob of sequence fm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*x**2 + 0*x - 1\/4*x**3 + 0.\nAnswer: -x**2*(x - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -92*f - 817. Let x be s(-9). Solve -x*n - 12 = -8*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 2\/1287, 4, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 3*d**3 + 2*d - 2*d**3 + 5*d**2 + 4 - 2*d**3. What is the tens digit of b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuu when three letters picked without replacement from upvvpppuspupppu.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9404 - 0.0213998\nAnswer: -9404.0213998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*s*s\/s**(11\/2)*s**5\/s*s**(2\/3) assuming s is positive.\nAnswer: s**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, m: 1, v: 10, k: 1}. What is prob of picking 1 g and 1 m?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/7706508 and 23\/906648.\nAnswer: 15413016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.24 - -1.32. Let r = z + -0.08. Suppose 62 = 5*d + 496*g - 497*g, 2*d - g = 23. Sort r, d, -5 in increasing order.\nAnswer: -5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose 8 = c*b - b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 3, 6, -33 in decreasing order.\nAnswer: 6, 3, -2, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 26. What is c(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*h**3 - 227*h**2 - 17562*h wrt h?\nAnswer: 240*h - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/11*17831\/(-12968).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072 > 27351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1742.79415 to 0 decimal places.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2025 and 675.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 58344 = 15*m. Which is bigger: m or 886?\nAnswer: 886","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let m(i) be the third derivative of 4*i**5\/15 + 136*i**2. What is y(m(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.25 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706498 is divided by 375?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 2*v**2 + v + 24. Let i be u(0). What is the units digit of 32\/i*-6 + 521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2290 - -1*(-40)\/(-4). What is v rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-3)*-12*(2 - 3). Let v be (p\/(-40))\/(0 + 1\/55). Calculate the highest common factor of v and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 6*d + 6. Suppose 4*u = -4*w + 300, -d*w = -0*u + 2*u - 225. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760433 - 4?\nAnswer: -1760437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and -9583.304.\nAnswer: 488748.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 4219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -4. Let h = -29 - -32. Suppose h*u - 1 = -16. Put u, -4, y in ascending order.\nAnswer: y, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 0*n**2 + 4*n**2 - 137*n**3.\nAnswer: -137*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 77 - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) - 1\/5. Let j = 73\/30 + -11\/6. Let s = 11 - 10.5. What is the closest to 1 in t, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8809 - 11946 = -435*l - 158*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 646739 + -4985204. Let f = 4338429.99966 + h. Let i = 35 + f. Round i to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - w + 2. Let s be y(-4). Let v = 35 + s. Is 9 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9678 (b) 0.4 (c) 2 (d) -0.1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*l*v**3 + 2*c*l*v**2 + 1018*c*l*v - 12*c*v - 6320667*l*v**2 - 83*l wrt v.\nAnswer: 6*c*l*v + 4*c*l - 12641334*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 95?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/1221054?\nAnswer: -5\/1221054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000854919165 rounded to seven dps?\nAnswer: 0.0000855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1.1. Let y = -5 + 5.3. Let o be 4\/(-6) - ((-21)\/(-6))\/(-7). Sort y, l, o.\nAnswer: o, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4869438 by 807.\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -44312 and -43652 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n)**(-3\/14)*(n**(-2\/3)*n*n*n)**(-19\/2) assuming n is positive.\nAnswer: n**(-3299\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35 + 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -2, -5 in descending order.\nAnswer: 7, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, m: 13}. Give prob of sequence mo.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**6 - 2*j**5 + 3*j**2 + 2. Let z(m) = -12*m**6 - 9*m**5 + 13*m**2 + 9. Let w(q) = 18*u(q) - 4*z(q). Find the third derivative of w(n) wrt n.\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000347646882 rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 1\/(-2)) + (-437)\/874. What is the second biggest value in -0.019, 1, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2001, -2011, -2013, -2001, -1969, -1911, -1821, -1693?\nAnswer: -1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 7\/2*i**3 - 30*i - 7\/2*i**2 + 0. Differentiate m(j) wrt j.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1717 = 17*o + 510. Let w = 392\/3 + o. What is the closest to 0 in 8, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287470 divided by 3026?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 83.95494um?\nAnswer: 0.00000008395494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21629426.\nAnswer: 2, 7, 13, 118843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -12. Let k be 6\/((18\/(-3))\/o). What is the third smallest value in k, -0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 10:56 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + u**2)*(0*u**2 - 4*u**2 + 2*u**2) + (4*u - 2*u - u)*(-1 - 2*u**3 + 1) to the form w + c*u**4 + m*u + f*u**2 + r*u**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-3 - 2 - -2). Let a = -0.03 + -0.37. What is the nearest to -1\/3 in y, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12445)\/(-1310)*(-112)\/(-133)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -55*i + 437. Solve -4*z = 2*p + 6, -p - 3*z - i = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 1 + 1)*(-1 - 2*z + 1)*(2652*z**2 - 2821*z**2 - 1363*z**2) to h*z + o*z**3 + a*z**4 + n*z**2 + g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*d = 14, 0 = -4*h + 5*d - 2 - 4. Let n be (-1 - h) + 0 + 7. Suppose -n*j = -132 + 22. Calculate the remainder when 41 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 188955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201102112 (base 3) to base 7.\nAnswer: -312026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 9*i**2 - i - 9. Suppose -w + 6*w - 180 = 0. Suppose 3*x - 7*x = w. Let q be s(x). Sort 4, q, 2.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -44. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 5047*y\/2 + 10093\/4.\nAnswer: (y + 1)*(y + 10093)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272, -36, 4, 431 in increasing order.\nAnswer: -272, -36, 4, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 53083.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -6 - 8) + 6. Solve -2*m - 8*d = -11*d + 2, -45 = -o*m - 5*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17771 plus -1404130?\nAnswer: -1386359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*c + 4392 = -9009 - 8081 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5))\/((-16)\/(-166)). Let v = p + 17\/5. Which is the closest to 0? (a) v (b) 5\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22677705 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/120 - 13*m**5\/20 - 6*m**4 - 70*m**3\/3 + 2570*m**2. Suppose g(f) = 0. What is f?\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/(18\/(-27)). Let i be (2 - n)*1 + 1. Let h(o) = 2*o + 1. Let d(v) = 8*v + 4. What is i*d(t) - 9*h(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(4 + -1 - 1). Solve -l*q = 4*w + 6 + 2, 5*q + 20 = w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s, -3*v + 6 = 2*s. Solve v*g = 7*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 23*c + 201. Let j be x(7). Let v be (j\/(3 - 6) + -61)\/(-1). Solve 0 = -v*i + 56*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -871, -745, -535, -241, 137, 599?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*m - 18790, -m - 15 = -4*m. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, b: 3}. What is prob of picking 1 b and 2 v?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 3*q**2 - q + 3. Let h be m(-3). Suppose h*u - 9*u = -9. What is the second derivative of -7*z + 2*z + 4*z**u - 3*z + 2*z**3 wrt z?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -439*x + 253. What are the prime factors of q(-3)?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -31. Solve 3*x + 0*p - 7 = p, -x - j = -2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i - 369*i + 167 + 1025 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -111?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/15, 3, 1, -0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 0)*(-1)\/3 + 165. Let z = n - 60. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8160112063\/884 - 120863799\/13. Let b = p - -66318. Calculate the common denominator of b and -77\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 1, i: 1, q: 5, p: 3}. What is prob of picking 1 q, 1 i, and 1 s?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.7 + -8. Let i be -4 + -1 + 333\/63. Let d be 2\/(-6) + 5\/6. Put d, i, h in increasing order.\nAnswer: h, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5375003 divided by -4?\nAnswer: 5375003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43983 - -114481. Let a(p) = p**2 - p - 162498. Let d be a(0). Let o = d + q. What is o rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x + 21. Let u be m(-3). What is the highest common factor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 248?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x + 3*x - 15 - 3*x - 4*x. Let y be v(4). Let j be 1\/2*12*1. Is y bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 229.5456mg?\nAnswer: 0.0002295456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 31.697. Let o = -0.3030251 - z. Round o to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 3*f**2 + 6*f - 5. Let s(b) = 2*b**3 + 7*b**2 + 4*b. Let x be s(-3). Let p be d(x). Solve 4*v + 0*v - 4*w - p = 0, -5*v = -w + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166 is divided by (-280)\/245 - (-284)\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 + -1131\/4. Calculate the common denominator of k and 89\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4841.\nAnswer: 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-12) + 52\/(-16) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from xalxafaxxlxlxxxlxx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -135, -218, -311?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1059*b**5 + b - 47.\nAnswer: -21180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 8) in base 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/261 and (-201 + (-1 - -19))*(-1)\/783.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90906889 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 3, j: 1, x: 1, z: 1}. What is prob of picking 1 j and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1\/((-3)\/3))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:18 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:48 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0*(-6)\/(-36))\/(-3). Let n(r) be the second derivative of 0 - 5*r + 0*r**2 - 1\/6*r**4 + 3\/10*r**5 + o*r**3. What is the third derivative of n(t) wrt t?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145577 is divided by 810.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/8*(16\/10)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053248 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91, -85, -77, -67, -55?\n\"Answer: o**2 + 3*o - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from {u: 2, o: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 63317656.\nAnswer: 63317656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6016072 divided by 3008036.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 1716*g - 10342. What is k(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18725, 76288, 172231, 306554, 479257?\nAnswer: 690340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -0.1802824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, b: 1, k: 1, f: 5, p: 1, d: 4}. Give prob of sequence fb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r\/(r*(r**(-3)\/r)\/r*r)))\/r))**(1\/35)*(r\/r**(3\/7))\/(r\/(r**(-7\/5)*r)) assuming r is positive.\nAnswer: r**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*w**2 - 21\/4*w + 15\/2.\nAnswer: 3*(w - 5)*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**3\/3 + 3*f**2 - 11*f - 15. Let c(k) = -k. Let g = 6 + -1. Let i(p) = -2*p. Let q(j) = g*c(j) - 3*i(j). Determine q(x(y)).\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2714 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -5, -9, 72, -1, 1, -2 in descending order.\nAnswer: 72, 1, -1, -2, -5, -9, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/sqrt(63))\/((sqrt(175)\/sqrt(5))\/sqrt(5)) + ((sqrt(448) - (sqrt(448)*2 + 5))**2 - (sqrt(448) - (2 + sqrt(448))*5 - sqrt(448))).\nAnswer: 361*sqrt(7)\/3 + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409091869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let f(g) = v*g + 0*g + 2*g - g. Let d(n) = 4*n. Calculate f(d(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-54)\/(-4) + (-7 - 5))\/(3\/370) is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**1*c)*c*c**(6\/5))**(7\/5) assuming c is positive.\nAnswer: c**(7\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, 2133, 1194.\nAnswer: -5, 1, 3, 1194, 2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 2)*(-6)\/10. Let z = -81.7 - -82. What is the biggest value in z, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 35 - (-744 - -756).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -3.8. Let g = -407\/1030 + -1\/206. Which is the nearest to 0.1? (a) g (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:17 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d1253b (base 14) to base 5.\nAnswer: -12212104220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:01 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41166 (base 11) in base 4?\nAnswer: -32222320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 47*q. Let u(y) = -2*y**2 + 18*y + 15. Let v be u(8). Let t(f) = -64*f + v*f + 31*f. Calculate a(t(l)).\nAnswer: -4*l**2 - 94*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.3 - -8. Let t = 1.8739 + 0.1221. Let b = t + 0.004. What is the biggest value in -2, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1586.99998522 + -1587. What is i rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 9:52 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 727 - 692 - (1 - -18)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 35905*j - 175. Let z be w(-5). Round z to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 5294962*r**2 + 10589923*r - 15884884\/3.\nAnswer: (r - 15884884)*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35198 and 5?\nAnswer: 35203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*m**4 - 291897*m**2 + 4574301*m?\nAnswer: -360*m**2 - 583794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175880329 to the nearest integer?\nAnswer: 13262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.06, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*t + 20 = -0*o, -4*o + 122 = -2*t. Suppose o*c - 35*c = -12. Let y(k) = k**2 - 5*k + 6. Determine y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38559, -77118, -115665, -154194, -192699, -231174?\nAnswer: -269613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1202 (b) -106 (c) 1\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1489 - -8999\/6. Calculate the common denominator of 4\/27 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35451048793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruez when four letters picked without replacement from {r: 3, u: 1, j: 3, e: 2, z: 1, d: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 1. Let y(i) = -8*i + 1. Calculate 6*x(m) + y(m).\nAnswer: -2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -0*y + 3*a, -y = 5*a - 6. Suppose y + 11 = -b. Let i = b + 25. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83699221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = m + 83, -46 = -r - m - 9. Let u = -39 + r. What is the common denominator of 318\/180 - u\/(-2) and -31\/11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**6\/5 - w**4\/4 + 14*w. What is the third derivative of a(y) wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-2) - (-3 + (-18)\/(-6)). Solve -22 + 8 = -k*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 12. Suppose -21 = -p + z. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 725 and 563382565?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2900577 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(1331) + sqrt(1331)*2 + (sqrt(99) - (sqrt(99) - (sqrt(99)*1 + sqrt(99)))*-2)\/sqrt(9))**2.\nAnswer: -384*sqrt(11) + 67590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188 less than -120751?\nAnswer: -120750.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.53 and -3.10490329007.\nAnswer: -0.57490329007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(3*(-1)\/1098). Let q = 409 - l. What are the prime factors of q?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87151386*t*z**3 - 112271*z**3 - 382 wrt t?\nAnswer: -87151386*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -947 - -545. Let s = m - -401. Put 0, s, 14 in descending order.\nAnswer: 14, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9185 + 13949. Let c = -4732.41 + w. Let q = c - -7.31. Round q to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(33\/(-9) + 3). Solve v + 6 = -f*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -3917*a**8\/56 + 9923*a**4\/12 - a**2 - 99*a. What is the third derivative of r(n) wrt n?\nAnswer: -470040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-15) - (0\/2 - 13). Let n(p) = 3*p - 34. Let d be n(t). Let r be (-1 + d)*((-7)\/2 + 0). Solve 5*w - 13 = r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 9*t**2 + 10*t - 3. Let p be u(-7). Suppose -3*x + 5*x - 95 = 5*z, -5*z = p. Let d = 4 + x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0 + 14. Solve -4*l - 2*i + c = -i, l - 5*i + 14 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5354, -10735, -16164, -21665, -27262, -32979?\n\"Answer: -4*m**3 - 5353*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**3 - u**2 - 8*u - 7. What is f(-2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 6*d**2 - 2*d + 5. Let f(a) = -78*a + 707. Let z be f(9). Determine w(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Let a = 5 - -4. Let o = a - d. Solve -2*r + 0*f = o*f - 23, 0 = 5*r - f - 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 942742*w**3 - 6*w**2 - 3*w**2 + 9*w**2.\nAnswer: 942742*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*h - 172147 = -31435 + 16148. Which is bigger: 453 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -661 + 3278\/5. What is the common denominator of ((-3)\/(-36))\/(3\/(-124)) and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 26*a**3 + 25*a**3 - 50*a**3 - 1. Let f(i) = 2*i**3 - 2*i**2 - 4. Give f(h) - 4*n(h).\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 1\/2 (b) -0.7 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a + 54*a = -71*a + 100893. Calculate the remainder when a is divided by 151.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 2*p = 95, 3*p - 435 = -4*v. Calculate the greatest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 33 = 77 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.54, 0.2, 3, 0.1, 1\/106?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/(((-132)\/64)\/11)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - g + g + 219.\nAnswer: -2*g + 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-2.1\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4338 + 10925. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t - 107*t + 70*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 - (-2)\/(12\/4749). What is the smallest value in -2, g, -1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*h + 15, -21 = -3*q + q - 5*h. Suppose -2*p - 2*p**2 - 3*p**2 + 3*p**q + 4*p = 0. What is p?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*j = -0*j - 54, 0 = -i - j + 20. What is the common denominator of i\/2*24\/32 and -47\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-21)*((-4)\/30)\/(1\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(384) - 1*sqrt(384))\/sqrt(12) - -6*(sqrt(128))**2 - (sqrt(320)\/(sqrt(40)*-2))**2).\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 11*d - 28. Suppose 5*v = k + 18, -5*v + 0*v = -25. Let q be y(k). Factor -5\/3*x**3 + q + 2\/3*x**4 + 4\/3*x**2 - 1\/3*x.\nAnswer: x*(x - 1)**2*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/68328*-8)\/(2*(-3)\/36).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - t - 15 = 0, 0 = 5*g - 2*t - t - 39. Let u be (-3)\/(3*(-3)\/g). Solve u*a + 4*n - 3 = -5, 5*n = 4*a - 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p = 3208311 + 310789. What is p rounded to the nearest 1000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 10 = 0, -6*y = t - 11*y - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 920a32?\nAnswer: -920a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 7. Suppose -f + 0*f - 8 = -b, -3*b = -5*f - 48. Let y be s(f). Factor 2\/15*i**y - 4\/15*i**2 + 4\/15*i**3 - 2\/5*i - 2\/15 + 2\/5*i**4.\nAnswer: 2*(i - 1)*(i + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let d(l) be the third derivative of -23*l**2 + 6*l + 19\/6*l**3 + 1\/2*l**4 + 0. Give d(a(v)).\nAnswer: 12*v**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 5, -5, 524 in descending order.\nAnswer: 524, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 34*y + 4. Let i be o(2). Let g be (i\/544)\/((-1)\/(1 - 5)). Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - (2 - -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**8\/1680 + t**7\/105 - 19*t**4\/12 + 64*t**2. Let o(j) be the second derivative of w(j). Determine f, given that o(f) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 10. What is y(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 1. Let l be s(1). Suppose 5*u + 3*n = 36 - l, 5*u - 2*n = 12. Let q(c) = -c**3 + 4*c**2 - 2. Calculate q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/680 and 89\/90.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 17*k = 18. Suppose 2*p - 6*p + 115 = 3*v, 70 = 2*v + 4*p. List the prime factors of -3*(-5)\/v - 328\/k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166869 times 801.3\nAnswer: -133712129.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -18763?\nAnswer: -18763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 1. Let c be b(2). Let t(y) = -14*y**3 + 8*y**2 + 5*y - 8. Let l(f) = -5*f**3 + 3*f**2 + 2*f - 3. What is c*t(q) - 8*l(q)?\nAnswer: -2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -5681 in decreasing order.\nAnswer: 0, -6, -5681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 120*(-215)\/(-903) - 28. Find b, given that 4\/7*b**4 + 0*b**3 - 2\/7*b**5 - g*b**2 + 2\/7*b + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 16*q - 44. Is 8\/(q\/9) + 1463 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n)\/(n*n**(-2\/5))*((n**(2\/21)*n)\/n)\/(n**(-2\/11)*n*n) assuming n is positive.\nAnswer: n**(-6148\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86121893 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3467.765 and -0.2.\nAnswer: -693.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.96 (b) 22 (c) -294 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/8711864 and -79\/4355932.\nAnswer: 8711864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 201\/(-1485)*-2 - (-9 + (-1111)\/(-121)). Let o(i) be the second derivative of 0*i**2 - 1\/135*i**6 + 12*i + 0 - 8\/27*i**4 + d*i**5 + 0*i**3. Factor o(z).\nAnswer: -2*z**2*(z - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*g - 73*g + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 4*j - 8, -3*a + 3*j - 6 = 0. Suppose 4*p - 5 = -z + 2*z, -10 = -4*z + p. Solve -z*x + 6 = -a*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7019373295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009083482 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*m + 212*m**3 + 204*m**3 - 412*m**3)*(m - m - m).\nAnswer: -4*m**4 + 25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 147*t**2 + 470*t + 59. Is a(-46) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w - 6. Let q = 9 - 6. Let y(a) = 11*a - 12. Let h(n) = q*y(n) - 5*g(n). Differentiate h(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 571 = 4*w, 0 = 2*n - 5*w - 941 - 192. Let m = 33 + n. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*u)*(-7*u - 143*u - 175*u + 13*u) to the form r*u**2 + b + i*u and give r.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10707, 21420, 32135, 42852?\n\"Answer: g**2 + 10710*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15599 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-234))\/(6\/(-36))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 8*k**2 - 2*k + 1. Let o be d(7). Let a be (-2)\/(-6)*o\/3. Solve 3 - 11 = -a*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrfffffybrfby. Give prob of sequence fy.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1156350 divided by 25.\nAnswer: -46254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 272752739 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6857.919 hours?\nAnswer: 24688508400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**9\/432 - d**6\/180 - 11*d**3\/3 - 29. Let g(s) be the third derivative of i(s). Find the third derivative of g(f) wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(1\/((-1)\/(-1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/4772 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 v when three letters picked without replacement from {v: 1, q: 2, j: 3, c: 2, p: 3, s: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 3\/10*o**5 + 0*o**3 - 51*o**2 + 0 + 0*o + 0*o**4 + 19\/12*o**6. Find the third derivative of d(c) wrt c.\nAnswer: 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + w + 65 = 0, -5*o - 2*w - 321 = 2*w. Let v = o - -63. What is the hundreds digit of ((-38)\/v)\/(7\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t + 1 = -4*m, 2*t - 4*m = 2. Let u be (-15)\/(-2) - 4*(-5)\/(-40). Let r(d) = 9 + 5*d + u - 19 + 2. Determine r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139233145*o**4 - 372*o**2 - 50751*o.\nAnswer: 3341595480*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 1836.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 9. Let z(f) = -f + 10. Suppose 8 = 4*t + 28. Let k(p) = t*z(p) + 6*w(p). What is k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:30 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.136 + -0.464. Let z = s + 35.6. Which is the closest to -1\/5? (a) -1\/3 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135993467*m - 60678918.\nAnswer: 135993467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2 + -1)*-10. Let c(z) = -3*z**2 - 5. Let h(s) = 2*s**2 + 3. Let o(v) = r*h(v) - 3*c(v). Let g(m) = -6*m. Calculate o(g(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-112))\/((3876\/(-665))\/34)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 94360*g\/3 - 4053782\/3.\nAnswer: -2*(g + 43)*(g + 47137)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 192\/4 - (-2)\/(-1). Suppose -2*l = 5*q - 53, 4*q = 4*l - o - 74. Calculate the greatest common factor of 551 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 53*q**2 + 1311*q + 24. What is the units digit of l(-72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*u - 8*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) 0.5 (d) -364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - v - 2*v - 32 = 0, 5*v + 45 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 at most as big as -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, -4\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -364087 times 0.017?\nAnswer: -6189.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*t = 3*p - 11, -p + 3*t = -11. Suppose -4*q = -4*c - 16, p*c + 24 = 4. Factor q + 284*b + 16 - 284*b - 4*b**2.\nAnswer: -4*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/135 and -81\/160610.\nAnswer: 4336470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 23 = -h, 100*a - 6*h = 99*a + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = -6*g + 3*g, 2*g + 31 = 5*v. Let z = -4 - -3. Which is the nearest to z? (a) 1\/2 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 541750 (b) 0.2 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -14, -16, -20, -26, -34?\n\"Answer: -g**2 + 3*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 9*x**2 - 7*x**2 - 15*x**2.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73142980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.1. Let a = 1516\/5 + -304. What is the second biggest value in a, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8*z = -486. Let t = 75 - z. Let j(u) = -u**2 - 2*u + 56. What is the smallest common multiple of 8 and j(t)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -20\/13 (b) -3 (c) -8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-6)\/48)\/(2\/(-22*1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64292029.\nAnswer: 19, 3383791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1022?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 3*p - 4548 = 0, -2*p = -8. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 2. Let c(q) = q**2 - 1. Let f(l) = 2*c(l) - y(l). Let t(z) = -3*z**2. Determine f(t(k)).\nAnswer: 45*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51888, -55847, -59804, -63759, -67712?\n\"Answer: j**2 - 3962*j - 47927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1263\/(-8) + 2\/(-1). Let x = m - -153. Calculate the common denominator of -23\/2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**7\/98 - 3*j**6\/35 + 9*j**5\/140 + 5*j**4\/7 + 6*j**3\/7 - j + 14. What is h in m(h) = 0?\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*30\/(-675) - (-22)\/(-63).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4600 + 4603. Let m(f) be the second derivative of 19\/12*f**4 + 0 - x*f**3 + 0*f**2 + 6*f. Find the second derivative of m(o) wrt o.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x**2 + 11*x**2 + 12324*x**3 + 2*x**2 - 12323*x**3 + 32*x + 147. Let i be p(-28). Is 36 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-96)\/(-34))\/2*(-18)\/8 and 32\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4*t + g**4 + 663*g**3*t - g**2 - 1866*g*t wrt g?\nAnswer: -48*g*t + 24*g + 3978*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.31 - -1.31. Put 3, 6, d in descending order.\nAnswer: 6, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2222430 (base 5) to base 4\nAnswer: -21203023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285703591*g*o**2 + 2140*o**2 - 54922 wrt g.\nAnswer: 285703591*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2) + -5*2 + (-71)\/(3834\/(-4860)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -3 - 3\/((-3)\/2). Let r be (u\/(15\/(-34)))\/((-1)\/(-3)). Let i = -13 - r. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15409, -30844, -46279, -61714?\nAnswer: -77149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 + 222. Which is the nearest to 1? (a) 0.5 (b) 2\/25 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-65)\/(-39)*(9 + (2 - -1)). Suppose x*h + 19862 = 66522. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 14*b + 5. Let g be q(-13). Let p = 27 + g. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 44510?\nAnswer: 44513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -146104*q + 876638. What is y(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*t**4 - 390*b**3*t**3 + 841*b**3 + b*t wrt t.\nAnswer: 24*b**3*t**2 - 2340*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 - -2) + 8 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707175931 a multiple of 14891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6 - (-8 - -19))*(-132 + 5 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/(-108))\/(1\/6*-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 12*i**2 + 38*i + 143. Let o be l(-14). Solve 9 = -o*k - 3*r + r, -2*k = -4*r + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoooohvev. What is prob of sequence hevv?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = -s, 5*v - 20 + 7 = -s. Factor 0*w + 3\/5*w**3 + 0 - 3\/5*w**v.\nAnswer: 3*w**2*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666712260, -666712264, -666712270, -666712278?\nAnswer: -666712288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 5*u + 13*u - 100 = -20*s, 0 = 15*s - 11*s + u - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 + 9*k + 3*k**2 - 5*k.\nAnswer: -16*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3099455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r. Let n(x) = 47*x**2 - 13*x + 5. Let v(k) = 93*k**2 - 24*k + 9. Let c(f) = -9*n(f) + 5*v(f). Determine c(h(m)).\nAnswer: 672*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -275 divided by 55\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 6. What is a(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.3 + 1.3. Let c = 0.02 + -16.02. Let u = m - c. Which is smaller: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2022*p + 2017*p - o + 2*o, 5*p = -3*o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.5, -1\/3, -0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g - 544 = 112*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q = o + 275, -418 + 429 = -3*q + 5*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1224260 + 2937317. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3160*n**2 - 48*n - 138. Let c be p(-3). What is the highest common factor of 66 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-2\/7)*t))\/t)\/(t\/(t*t**(2\/5)))*t\/t**(-7)*t**(-6)\/t*t**0\/t**(2\/7)*(t*t*t**(-6))\/t**(4\/3) assuming t is positive.\nAnswer: t**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**6\/240 - b**5\/48 + b**4\/24 - b**3\/24 - 3*b**2 + 6. Let h(v) be the second derivative of i(v). Factor h(p).\nAnswer: (p - 1)**2*(2*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37677695063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/(((-6)\/(-9))\/((-72)\/27))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 0.9.\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 2326.\nAnswer: -7\/2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.5584 - -7.5. What is i rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -66*t**2 - 1. Let d(g) be the third derivative of g**4\/24 - g**2 + 39*g. Give d(c(b)).\nAnswer: -66*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-12\/7)\/i*(i**(16\/5)\/i)\/i*(i*(i*i*i**9)\/i)**28 assuming i is positive.\nAnswer: i**(10727\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0*q**2 - q + 117 - q**2 - q + q. What is the hundreds digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 198, 2, 5 in ascending order.\nAnswer: -4, 2, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91b8252 - -1?\nAnswer: -91b8251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 49587912 divided by -14732\nAnswer: -3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -516 + 203500?\nAnswer: 202762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/421473 and 64\/523887.\nAnswer: 56055909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43666, -174709, -393120, -698905, -1092070, -1572621, -2140564?\nAnswer: -2795905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3503d (base 14) in base 4?\nAnswer: -133133333","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/23079 and 93\/314.\nAnswer: 46158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*a - 5, 4*l - a + 7 = 5. Is ((-46)\/(-6))\/(l\/(-21)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*s - 3*k, 4*s - 5*s = 3*k + 13. Let w be s + 1 + 30\/(-40). Which is the third biggest value? (a) w (b) -2\/17 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1077975927 rounded to three decimal places?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 11, v: 2, s: 2, b: 2}. Give prob of picking 1 o and 2 b.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -341*i**4\/4 - 7*i**3\/3 + 4*i + 1840. What is the third derivative of h(o) wrt o?\nAnswer: -2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from gffggivgigvggfifggig.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 + 2*m + 7. Calculate the remainder when 71 is divided by u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -90?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -13. Suppose -2*m - m + 2*u = -641, w = 5*m + 4*u - 1083. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2835176 and 10872.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -57. Suppose k = 2*m + 3*m. Suppose -1 = -z + m. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71\/195 - 2\/65. Factor u - y + 2\/3*y**2.\nAnswer: (y - 1)*(2*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/43 (b) 7 (c) -1\/2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 234620 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-44) + (403744\/1210)\/(-148).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28764 and 5756?\nAnswer: 41391396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 95*p**2 - 359*p - 38. Calculate q(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2) + (-105)\/(-5). Suppose 0 = 3*x - 6*x + 3*v + t, 2*x = -v + 12. Let c(s) = -s**3 + 6*s**2 - 2*s + 7. What is c(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 1 - 1 + 4*t + (4 - 6 + 0)*(t + t + 0*t) - 1 - t + 1.\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1011100101101100100?\nAnswer: 1011100101101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 0, -0.0397, -0.02, -4?\nAnswer: -0.0397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n**2 + 3*n - 5. Suppose -70*q + 42 + 168 = 0. Calculate t(q).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 809, 18, -1 in decreasing order.\nAnswer: 809, 18, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 27. Determine t(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 23*c**2 - 7*c + 37. Is m(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 62. Is m <= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-18) + 1202005\/11025. Let i = 109 - a. Sort -3, i, 1\/5 in increasing order.\nAnswer: -3, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 47 - 105 = -2*f, 0 = q - 2*f + 34. Factor -11\/2*s**2 + 6*s - 6*s**3 - 1\/4*s**q + 23\/4.\nAnswer: -(s - 1)*(s + 1)**2*(s + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 363*d**2 - d + 367*d**2 - 729*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31012 (base 5) to base 6\nAnswer: 13143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2. Let m(u) = -4217*u**2. Calculate q(m(b)).\nAnswer: -53349267*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 23*i - 50. Let l be (70 + -72)\/(1\/3 + -1). Suppose -3*p - f + 102 = 0, -p = -0*p - 4*f - 21. Calculate the remainder when p is divided by n(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 17214*h**2 - 24555195*h - 397302192.\nAnswer: -3*(h - 2877)**2*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 5 + (4 - 16415). Let d = 41144 + a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6322403 kilograms to grams.\nAnswer: 632.2403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53275*x - 2152*x**3 + 53275*x + 2132*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 74*s - 188. Give g(-34).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 74\/19 (b) 497 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 16.72671.\nAnswer: 50.18013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2891 and -55\/3717.\nAnswer: 26019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*v + 26, -5*v + 10 + 1 = -q. Let b = -18 - -8. What is the tens digit of (-68)\/q*(-15)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2254 and 5?\nAnswer: -11270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302 - 296. Let j be 1\/(n + 200\/(-32)). Let g = 0.8 - -0.2. Which is the closest to -1? (a) -2 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o**3 - 1134*o**2 - 9*o - 1141. What is q(-126)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 63. Let m = -11 + 13. What is the nearest to -0.2 in 3, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + m - 20 = 0, h - 3*m = -4*m + 11. Let c be h\/3*959\/(-21). Let i = c - -182. What is the greatest common divisor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 4*n - 5. Let u be v(-4). Let d = u + 8. Let w(x) = 2*x - 4. Let y be w(4). Solve d*p - 3 = y*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -5, 71\/3, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2709 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138 (base 9) to base 7.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -14671 (b) 9 (c) -2 (d) 5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**6\/60 + 5*y**4\/6 - 11*y**2\/2 + 1. Let t(w) be the second derivative of v(w). Find the second derivative of t(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 38*y**2 + 140*y + 136.\nAnswer: (y + 2)**2*(y + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v + 0 - 4 - 1 + 15 - 10*v**2. Let y(c) = -10*c**2 + 6*c + 9. Suppose -25 = -2*w + 7*w. Let m(o) = w*d(o) + 6*y(o). Suppose m(i) = 0. Calculate i.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98, 196, 306, 434, 586, 768, 986, 1246?\n\"Answer: p**3 + 91*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431375, -431369, -431363, -431357, -431351, -431345?\nAnswer: -431339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.4. Suppose -1907 - 2243 = -904*k + 74*k. What is the closest to -1 in t, k, -2\/19, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**7\/70 - b**5\/40 + 2*b**3 + 5*b. Let m(w) be the second derivative of n(w). What is the second derivative of m(u) wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {x: 8, n: 3, a: 6, e: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -25. Let h = 11 + 2. Is h equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 9:46 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (129 + -127)\/((-2)\/(-1999)). Suppose 1166 = 3*h - l. What are the prime factors of h?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.533562 to 2 decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:35 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22914611 and 0.1?\nAnswer: 2291461.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423336 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906291471?\nAnswer: 3, 17, 23, 479, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtn when three letters picked without replacement from dotnqdn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 11*g = -8 + 28. Let q = 5 + -12. Put q, g, -2, -3\/4 in decreasing order.\nAnswer: g, -3\/4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8 - -41*(-3)\/(-12). Let h(t) be the second derivative of -577*t**3\/3 - 3*t**2 - t. Let y be h(z). Round y to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 56*j**3 + 4*j**2 - 7*j + 2. Let l be r(1). Find the common denominator of 46\/5 and 16\/(-48) - l*2\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**(4\/17)*(v**(2\/9)*v*v)**(-6\/23) assuming v is positive.\nAnswer: v**(-2060\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 7*y**2 + 6*y - 1. Let x be l(-8). Suppose x = 5*c - 10. Is -1\/3 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.932 and 4.\nAnswer: 31.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/21997 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = x - 2*p - 3*p, 0 = -2*x + 3*p + 25. Let s be ((-8)\/(-30))\/((-4)\/(-10)). Which is the nearest to s? (a) -1\/4 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*o + 46*o + 598*o**6 + 2088*o**2 - 2097*o**2 wrt o?\nAnswer: 71760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9931111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8439248.\nAnswer: 2, 527453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + sqrt(1872)*-2 + 5*(sqrt(1872) - (sqrt(1872) + -2)) + sqrt(1872))**2)*3.\nAnswer: -432*sqrt(13) + 5715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h + 25. Calculate a(-15).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2\/2*4. Let f(t) = -t**3 + 3*t**2 + 2*t + 1. Let q(h) = -48*h + 25*h - 8*h**2 + 17*h + 2*h**3 - 2. Determine d*f(z) + 3*q(z).\nAnswer: -2*z**3 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -553378\/155637 + 2\/155637. What is the common denominator of (-279)\/60 - 2\/(-5) and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/31)\/u)\/(u\/u**22))\/(((u*u**(-1)\/u*u)\/u)\/u**2) assuming u is positive.\nAnswer: u**(712\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 1274?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 329394.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 88. What are the prime factors of c(-21)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/(-78) - (-2)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-8))\/(9\/(-216)). What is the derivative of 26*d**4 + 11 + u + d**4 wrt d?\nAnswer: 108*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2432*i - 35. Is b(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)\/((-3)\/9). Suppose 10 = 5*u - c*k - 22, 4*k = 4*u - 32. Suppose -2*i + 3 = z - 4, -4*z - 32 = -4*i. Put u, 5, z in ascending order.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369 at least 8369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8*-1*(8\/(-28) + (-472072)\/224)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -377.2 and -186?\nAnswer: 70159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:50 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8996421 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n - 6. Let w(s) = 11*s - 13. Let k(o) = -9*d(o) + 4*w(o). Let h(x) = 3. Calculate 4*h(b) - 5*k(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6398*l**4 + 850*l wrt l.\nAnswer: 76776*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 547*t**5\/20 + 505*t**2\/2 + 5*t + 37. Differentiate p(f) wrt f.\nAnswer: 1641*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 2, j: 4, p: 1, r: 1}. Give prob of sequence mp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -0.4399394?\nAnswer: -7.4789698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.816 less than 0.4?\nAnswer: -448.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18390 + 18410. What is the greatest common factor of y and 3170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/213 (c) 137\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 8*w - 11. Let f be o(10). Suppose r - 12 = -f. Suppose 174 = 2*i - y, 360 = 4*i - r*y - 2*y. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 + 6*o + 6. Let t(v) = -2*v**3 - 9*v**2 - 2*v - 12. Let y be t(-8). Let d = y + -458. Give n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8369348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3 - 5 + 4 + 3 - t. Let m = 97 + -53. Let q = 45 - m. Let h(s) = -1. Give q*h(z) + 2*p(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218*s**2 - 26*s**3 - 1218*s**2.\nAnswer: -26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3792 + 4698. Round s to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(9)\/(sqrt(18)\/sqrt(6)).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -3\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 361. Let t(h) = 10*h + 782. Let r(u) = 13*m(u) + 6*t(u). Let f(c) = c + 1. Give f(a) - r(a).\nAnswer: 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4921367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 37*s + 6. Let k be h(-10). Suppose 79930 = k*o - 666*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {g: 2, e: 10, l: 3, v: 5}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + 87 + 3\/(96\/(-415)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259864 divided by -2.\nAnswer: 129932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 118, 199, 278, 343, 382?\n\"Answer: -2*i**3 + 17*i**2 + 34*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 812 = 2*c. Let z = c + -26. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + -44)*(0 - 1). Let r = j + -43. What are the prime factors of (12\/r - 100)*-1?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22854206?\nAnswer: 2, 431, 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 9 - 7) + 27 + -98 + 22 + -11.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -7557.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -38, -58, -96, -158, -250, -378, -548?\n\"Answer: -y**3 - y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0252 + -11.0252. Which is the closest to p? (a) -3\/4 (b) -2 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 344*r**2 - 318*r**2 + 115 - 256*r**2 + 123*r**2.\nAnswer: -795*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 342114170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 673 - 655. What is the remainder when 53 is divided by (f + -3 + -2)*3\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-28)*4*4\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4265, -17047, -38349, -68171, -106513?\nAnswer: -153375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - (-66)\/8. Let z(j) be the third derivative of 0 + 1\/168*j**b - j**2 - 1\/30*j**5 - 1\/60*j**6 + 0*j**3 + 0*j**4 + 1\/105*j**7 + 0*j. Factor z(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caacccccaaccccacacc. What is prob of sequence aac?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*i + 25 = -4*n, -3*n - 12 = -i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + 3 + (-3*(sqrt(539) + 2) - sqrt(539) - sqrt(539) - (sqrt(539) + -1 + sqrt(539))*-1))**2.\nAnswer: 252*sqrt(11) + 4891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12170208 a multiple of 1324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -4. What are the prime factors of (21\/6)\/((-1)\/b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -543*g**4 - 478*g**4 + 299*g**4 + 3*g**2 - 2*g**4 - 3*g**2 + (-g**3 + 2*g - 2*g)*(2*g + 0*g - 3*g).\nAnswer: -723*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 150701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + r, -2*v + 3*r = 4 + 4. Suppose -v*f + 252 = f. What is the remainder when f is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 122729, 122735, 122745, 122759, 122777?\n\"Answer: 2*m**2 + 122727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - q + 426 = 0, -67 = z + 5*q + 91. Let g = 30 + z. Which is greater: g or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-36))\/((-357)\/(-56))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(77)*1 + sqrt(77))\/(sqrt(11) + (-2*sqrt(704) - sqrt(704))))**2.\nAnswer: -30*sqrt(7)\/23 + 13288\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2211 in -4\/7, -664, -0.19?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -237*q**3 + 90773*q**2 - 91300*q + 764 = 0.\nAnswer: 2\/237, 1, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22786.8747 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6005 - 6007. Let p be 3\/(-5) + 91\/35. What is the nearest to p in -0.03, -0.1, f?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 3. Let b = q - -3. Let o = -15 + b. Sort o, 1\/8, 1 in decreasing order.\nAnswer: 1, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 - 100354?\nAnswer: -100424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 30471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, t: 2, m: 5, g: 5, q: 1, h: 1}. What is prob of sequence sm?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k\/k**(-2))))**24\/((k\/k**5)\/k**8) assuming k is positive.\nAnswer: k**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 777901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118476 is divided by 443.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 + -195. Solve r*g = 5*m - 3*m - 2, m + 5*g = 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + -3333?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(1\/8)))\/w**(-5\/4))\/((((w\/(w\/(w**4\/w)))\/w)\/w)\/w**(-1\/8)))\/(w\/((w\/w**6*w)\/w)*w*w*w**(-5\/2))**(5\/13) assuming w is positive.\nAnswer: w**(-55\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 11*u - 15. Let z = 6 + -3. List the prime factors of u*3\/z - -17.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 4. Let i(x) = 3*x - 9. Let b(p) = -4*i(p) - 10*w(p). Let g(l) = -l - 4. Let d(y) = -3*b(y) + 4*g(y). What is d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 68. Let y be l(-20). Suppose 15*j + 143 = y. Let o = j - -60. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 43 = 3*j, 1507*j = 1511*j + x - 4 + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18487 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -432127 (base 10) to base 7\nAnswer: -3446563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(1872) + -2))*5 + -4 + sqrt(91)\/sqrt(7) + -4)**2.\nAnswer: -216*sqrt(13) + 37912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.065 - -1.00332. Let p = a + -0.93. What is p rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 5575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866650 is divided by 312?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 + 2 + 3*r + 0 - 4866*r**2 + 4864*r**2 + 16*r**3 to v + a*r**3 + h*r**2 + g*r and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/10)\/((-17)\/(-255)). Suppose 3*k - 5*y = -4*y + 47, -3*k + 43 = -2*y. Let o = k + f. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 6 = -78 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3565)\/186 - -19 - ((-145)\/6 - 2). Solve 9 = 7*d - c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 86, 87?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 6*y**2 + 15*y + 42. Let w be ((-18)\/21)\/(35\/245). Let i be m(w). Calculate the greatest common divisor of 108 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38\/35 + 6352\/5915. Let j = -521\/1183 - o. Let n be (39\/65)\/(14\/10). What is the second biggest value in n, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -6 - (-340)\/102 - 7\/3. Which is the nearest to -1? (a) j (b) -117\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3409 - -1688. Let x = 1721.3092 + d. Round x to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/4? (a) -6 (b) -3 (c) 6516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(2\/5)*m))**(-47)*(m**1*m)**(-16))\/(m**1\/(m*m\/(m\/m**(-3\/5))))**(29\/3) assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/6316 and -121\/12?\nAnswer: 18948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 6*d + 3 = 0. Let m(t) = t**3 - t**2 + 5. Let b be m(0). Suppose -4*i = -8*p + d*p + 31, 29 = 3*p - b*i. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -19, -8.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 61*d - 151. Suppose 2*o = 4*j + 186, -4*o + 237 = -3*j - 2*j. What are the prime factors of x(j)?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 26 = 2*q. Let f(m) = 9 + 15*m**2 + 5*m - q + 5. What are the prime factors of f(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, c: 4, z: 1, l: 3}. What is prob of sequence clz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -5 + (-44 - 5 - -11).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a - 3*i - 2*i, -3*a + 13 = -2*i. Let r(f) be the first derivative of 2\/15*f**a - 2 + 4\/5*f - 3\/5*f**2. Factor r(z).\nAnswer: 2*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10961483 - -17854783. What is f rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 4:35 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**2\/2 - n - 3. Give s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:33 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865114?\nAnswer: 2, 432557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3, -3\/44, 1398?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22705 divided by 126\nAnswer: 22705\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(242) - (-2 + sqrt(242))))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 2, r: 1, d: 1, q: 2}. Give prob of sequence qu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p, -4*k + 250 + 1026 = -2*p. What is the highest common factor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -552*g. Let h(i) = -3*i + 2. Let p(t) = 12*t - 12. Let v(m) = -6*h(m) - p(m). Give j(v(o)).\nAnswer: -3312*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 398792975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-848 - 27 - 1088 + 431 - 532)*(-1 + 1 - y) to s + i*y and give i.\nAnswer: 2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t - 33*t + 44*t.\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 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 m = 46 - 45. Suppose 2*i - m = -3, 2*r - 9 = 5*i. Suppose r*q + 3*o = o + 76, q - 4*o - 63 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*a = -2*t - 18900012, -5*a = -2*t + 12600015. What is t rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 582, 919, 1254, 1581, 1894, 2187?\nAnswer: 2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 37533455.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-134)\/(-2) - 2. Let n = -70 + 114. What is the highest common divisor of y and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2668 - 295. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-371)\/(-28) + -12)\/((-84)\/(-56)*-5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 3*w + 282, 89 = f + 4*w. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6328085 is divided by 2470?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*n**3 - 2*n**3 + n**4 - n - 2*n**3 + 3*n**2 + 3*n**3 to the form v*n**2 + r*n + u*n**3 + m + z*n**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17947542 is divided by 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, -6, -7, 5, -3 in increasing order.\nAnswer: -23, -7, -6, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 447323791, 447323792, 447323793, 447323794, 447323795, 447323796?\n\"Answer: f + 447323790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 2*f - 21 = 35*k, -5*k - 2*f + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u. Let r(q) = 4*q**2 + 6*q. What is 2*r(f) - 11*w(f)?\nAnswer: -3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -274 + 2?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*-3 - -14. Calculate the greatest common factor of 16 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h - 0*h. Suppose 2*v - 7 + 3 = 0. Calculate the remainder when h is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 17993\nAnswer: -71972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 5*j**2 - 9*j - 13. Let w be p(-6). Suppose 3*s + w*y = 4*s - 2837, 0 = -s - 4*y + 2855. Suppose -5503 = -10*b + s. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - i - 378. Suppose -51 = -0*d - 2*d - c, 2*c = -5*d + i. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192 * 0.036.\nAnswer: 6.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842 less than or equal to 7841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-27)\/(l*l**(26\/3)))\/(l**(9\/5))**(-7) assuming l is positive.\nAnswer: l**(-361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1. Let l(i) be the first derivative of 2*i**2 + 66*i + 219. Let k be l(-16). Let b(r) = 7*r + 2. Calculate k*j(u) + b(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -22163.1405.\nAnswer: 22158.1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.049 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303 is divided by 434.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c - 38. Let i be b(-10). Suppose 0 = 3*y - 12, 7*v + 57 = i*v + 3*y. Let m = v + 32. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 157848.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20909312279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 15 + 6 - (-1 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/2, -3, -2\/61, -4498?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6 = 3*s - 0, 4*s - 3*u - 8 = 0. Does 13 divide (-18 - -5)*(-2)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - y, -4*c = 5*y - 138. Let z = c - 27. Calculate the remainder when 17 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(847)*2 - sqrt(847)) + sqrt(847) + sqrt(847) + (sqrt(847)*2*3)**2 - (-2*(-1 + sqrt(847))*5)**2)*-3*-6.\nAnswer: -977526 + 40194*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**8\/28 - 207*a**6\/10 - 13*a**4\/12 - a**3 - 3*a**2 + 4761*a + 1. Find the third derivative of m(x) wrt x.\nAnswer: 240*x**3 - 14904*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -46 (b) -0.5 (c) 250\/47 (d) 5 (e) 2 (f) -3 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*s + 2*t + 7, -4*s - 2*t = -4. Suppose -m = 2*b + 2, 7 = 2*m - b + 1. Calculate the remainder when m is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 11. Let f be 4 - -1*(d - -2). Let n = f + -5. Solve n*k + 4 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 337, 2, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317415 less than -26.98?\nAnswer: -27.297415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01004246 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9027997 months to millennia.\nAnswer: 0.000241899975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 157*w**2 - 8*w - 2*w + 10*w**2 - 11 - 9. List the prime factors of o(-2).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/4 - 31*o**2\/2 + 491*o\/4 + 138 = 0.\nAnswer: -69, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from qqqkcqqkkqqqk.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c. Suppose 2*w - w + 17 = -5*v, c = -4*w + v + 37. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1837*u**5 + 106466*u**3 + 1369869612*u?\nAnswer: -36740*u**3 + 638796*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-21) + 2\/(-6). Let q = 487 + -519. Which is the nearest to i? (a) 3 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1455, 2959, 4503, 6093, 7735, 9435?\n\"Answer: y**3 + 14*y**2 + 1455*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 11:15 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = x + 4*g - 35375, 0 = x - g - 35387. Suppose -20*w - 2677 = x. What is w rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19547 times 0.1836?\nAnswer: -3588.8292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u + 1. Let v be h(1). Let l be (v + 12)\/(1\/(-2)). Suppose -3*s + 327 = -f - 768, 2*f = -l*s - 2140. Round f to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 1759*c + 1760*c - 3 = 0, 8*c - 10 = -5*m + 27 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {n: 1, e: 1, c: 1, m: 12, s: 1, b: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.58 + -6.48. What is the closest to c in -0.002, 4\/3, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.437 - -0.061. Let q = 0.047 + -0.045. Let n = q + z. Which is the second smallest value? (a) 0.4 (b) n (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 + 1.03. Let d = a + 4.51. Let o = -4.032 - -0.032. Sort d, 1, o.\nAnswer: o, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:09 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3110.8 + -2826. Round g to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 661.1235nm?\nAnswer: 0.0006611235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 65*c**2 + c - 9. List the prime factors of u(3).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 0 (c) 6\/37 (d) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 61*m**2. Let d be w(-1). Suppose 4*t = 3*b + 39, t + d - 7 = -3*b. Let f = -8 - b. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107538274*p**2 + 4770*p - 11126 wrt p.\nAnswer: 215076548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Suppose a + c = 7. Suppose -110 = -a*m + 2*m. Calculate the highest common factor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14018, 14017, 14016, 14015, 14014?\n\"Answer: -z + 14019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewx when three letters picked without replacement from {x: 8, w: 2, e: 4}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 - 3*d**2 + 0*d**2)*(2 + 0 + 1)*(965*d - 456*d + 13*d**2 - 471*d) in the form j*d + q*d**2 + g + y*d**3 + s*d**4 and give y.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 19 + 6)*(2 - 2*l - 2).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (9 + (2 - -5 - 6)) - -69.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1573*t**2 + 80215*t + 442. Calculate s(51).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1222*g**3*u - 2*g**3 - g**2 - 20*g + 1057*u**2 + u - 2991 with respect to u.\nAnswer: 1222*g**3 + 2114*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e + -1a7383?\nAnswer: -1a7344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 7. Let n be c(-14). Let x be n\/(-2)*28\/7*4. Suppose -x = 24*i - 28*i. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711943 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/768 and -23\/12.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 + 5*j + 5. Let i(n) = -24*n**2 + 21*n + 21. Let v(c) = -5*i(c) + 21*r(c). Let y(a) = 5*a. Determine y(v(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 12 + r - 29*r**2 + 27*r**2 - 4*r**3 - 3*r - 5 as u + x*r**2 + q*r**3 + c*r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(13\/6)*f**16\/f*f**(-10\/9)*f**(9\/5) assuming f is positive.\nAnswer: f**(1307\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309573.8720267 - 309480.872. Let x = -93 + b. Round x to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 5*g**2 + g. Let a be b(-5). Calculate the highest common factor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b - 3*b)*(2*b**4 - b + b + (-4*b - 2*b + 4*b - b**2)*(-2 + b**2 + 2) + 941*b**4 + 938*b**4 - 1908*b**4).\nAnswer: 28*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1614*r**2 + 96841*r + 127. Calculate v(-60).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/(4\/(-3)*48\/256).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -2*c**3\/3 - c**2 - 133*c. Let k(j) = -j. Give 3*k(z) - r(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -359229 divided by 76?\nAnswer: -359229\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8 - 7\/12)*(-173)\/(-4152)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**6\/120 - g**5\/60 - g**4\/12 - 2*g**3\/3 - 6*g**2. Determine f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3274967 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2361095 + -398.49.\nAnswer: -398.2538905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3945b5 (base 13) to base 6\nAnswer: 45332101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + (495\/(-10))\/11)*-636. Let h = 322 + u. Solve -3*o - 25 = 4*i, -5*o + 0*i + h*i = -1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(14\/2 - 17)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-616)\/33)\/14)\/((-20)\/25*(-2)\/(-48)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/2 + u**3\/3 - 3*u**2\/2 - 3*u + 2. Suppose -7*s + s - 22 = 14. Let f(t) = -t - 1. Determine s*f(x) + 2*p(x).\nAnswer: -4*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 14.9. Which is the nearest to w? (a) -0.4 (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -870 + 1269. What are the prime factors of i?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13986000 rounded to the nearest one hundred thousand?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23960 is divided by 3984?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**2 + 7. Let r = 3 + 11. Suppose -2*i = -r + 2. Let l(f) = 6*f**2 - 7. Let c(k) = i*l(k) + 5*x(k). What is the derivative of c(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25127 and 3.\nAnswer: 25130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 17*g + 21 = 0, -2183*g = -10*o + 11*o - 2188*g + 9 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.999998295 + 54. What is w rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 7*k = -14*k, 5*k + 6 = 3*n. Factor -d + 0 + 1\/3*d**n.\nAnswer: d*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 5*c + 5*c)*(-12 + 1 - 3)*(9*c**3 + 10 - 10) to i*c**3 + h + v*c**4 + r*c + j*c**2 and give v.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-7) - 13\/((-1820)\/(-40)). Let b = -37 - -18. Does b = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -41. Suppose -10*v = -7*v - h. Differentiate 2 - v - 1 - 4 - 19*d**2 wrt d.\nAnswer: -38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 8. Let q be w(4). Let n = -254 - -252. Which is the closest to -0.2? (a) n (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 1, v: 5, f: 2, x: 1, a: 2}. What is prob of sequence fw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.725 + -13. Let p = 1.725 - y. Sort -1\/3, p, -22 in ascending order.\nAnswer: -22, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/54)\/(34\/(-3))*2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 3. Let i = y - 8. Solve 0*c = -i*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-26)*((-72)\/(-162))\/(4\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77472*j**2 - 77474*j**2 - 208*j**3 + 154944*j**2 to t*j**3 + c*j**2 + u + k*j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1438618 * -13\nAnswer: 18702034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**2\/7 - 1443846144*c\/7 - 173724307295305728\/7 = 0.\nAnswer: -240641024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -24249?\nAnswer: -24248.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821 is divided by 535?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/90 + (-3)\/135*-174. Sort 0, -54, 3, -9, m.\nAnswer: -54, -9, 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t - 0. Let b = -17 - 28. Let p = b + 134\/3. What is the closest to p in -2\/3, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30362.1583666 - 3.2.\nAnswer: -30365.3583666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80432 and 21936.\nAnswer: 241296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188987 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = 3*j + 2*j, j = p. Suppose -p*g + 3 = -g. Find v, given that -8\/11*v**2 - 12\/11*v**g + 0 - 2\/11*v**5 - 2\/11*v - 8\/11*v**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124431 (base 5) to base 11.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(1715\/(-294)))\/((-24)\/(-1840))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 43, 47, 49, 49, 47, 43?\n\"Answer: -z**2 + 9*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 31*y + 3. Let t = 8\/15 - 4\/45. Which is the nearest to y? (a) 4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*r - 15. Let v(a) = a**2 - 23*a - 51. Let f be v(25). Sort f, -2, r.\nAnswer: -2, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -3*o**5\/5 - 3*o**4\/2 + 3*o**2 + 3*o - 41. Factor t(h).\nAnswer: -3*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1206.00000963 + -1206. What is o rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.59 + 30.41. Let k = -415\/838 - 2\/419. Which is the third smallest value? (a) -5 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099270778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2172 by -6.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, 3, 5, -102?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 358\/9 - 352\/9. Let n = -1\/59 - -239\/177. What is the nearest to -0.03 in n, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 32*z = -15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 - 29353776*w + 143607360909696.\nAnswer: 3*(w - 9784592)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/157 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 4*q - 5. Let v be c(-5). Suppose 114 - 39 = 4*h + s, 5*h - s - 96 = v. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 6. Suppose 4 + 11 = -3*a. Let x be u(a). Suppose 3*i = -5*z - 5, -z + 5*i = z - x. Solve -5*p - 3*j = 2*j + 35, z*p + 5*j = -23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 978*a**2 + 50. Let l(b) = -b**3 + 326*b**2 + 15. Calculate -10*l(k) + 3*r(k).\nAnswer: 4*k**3 - 326*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -99000858.5 to the nearest 100000.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(11*u**4 + 2*u**4 + 7*u**4).\nAnswer: -60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14983\/5 + 3084. Let y = -1863\/20 + r. Which is bigger: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 341 = 5*r, 0*k = 3*r - 2*k - 211. Suppose o + r = 4*o. Let u(f) = -f**3 - 3*f**2 - 5*f - 2. What is the remainder when o is divided by u(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/21)\/((-1)\/7). Let b be (-4)\/d - (-6)\/18. Let p(z) = 10*z**2 - z + 1. What is the tens digit of p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 467*r + 458*r - 3, 9 = 3*t + 3*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96246 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*y = 13, 3*g - 4*y - 18 - 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)\/(t*t*(t\/t**(1\/6))\/t))**47 assuming t is positive.\nAnswer: t**(-3055\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -5, 1.57 in ascending order.\nAnswer: -5, 2\/15, 1.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 2. Let t(q) = 5*q + 1. Let d = -3817 + 3815. What is d*n(o) - 3*t(o)?\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - r**4 + 232*r**3 + 3*r**2 + r - 231*r**3 - 2*r as w + t*r**3 + d*r**2 + u*r + z*r**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631561 is divided by 543852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)*-6*1. Suppose -5*w + r + 18 = 0. Solve -5*c = 26 - w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 19 + 31)*(3*m - 1 + 1) + (-5 + 2 + 4)*(-5 + 5 - 2*m)*(6 - 3 - 2) as l*m + c and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1443*y + 171. What is the hundreds digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 3*o**3 - o**3 + (o - 3*o + o)*(-3*o**2 + 2*o**2 + 2*o**2))*(-o + 3*o - o)*(1 + 2 + 6).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Suppose 2*r - 17 = w, -2*w - 4*r = 2 - 0. Let a = h - w. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122195 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r + 1. Let i be j(-6). Suppose 3*w + 0 = 5*o - i, -w + 39 = 2*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0112 in -0.03, -1\/35, -5, -3, -1?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/217, -2, -4.\nAnswer: -4, -2, 2\/217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**3\/3 - b - 12508. Let r(k) = k + 1. Let p(j) = j**2 + 6*j + 3. Let g be p(-5). Give g*t(a) - 2*r(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - 6 - 6*d**4 + 8*d**3 + 11 - 2*d - 5*d**3 to the form k*d**2 + h*d**3 + b + o*d + c*d**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n - 4*n. Suppose 2*o - 16 = l - 5*l, n = 4*o - 8. Suppose 3 + 24 = -l*i. Which is smaller: -13 or i?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7878 - -98.2822. Let v = 99 - j. Let q = 1\/121 - 247\/605. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 1, q: 1, j: 1, d: 1}. What is prob of picking 1 j, 1 q, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 28*n - 5 - 4*n**2 - 2*n**2 + 5*n**2 + 6.\nAnswer: -n**2 + 28*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 60\/8)\/((-3)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, m: 3, e: 5}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947550738?\nAnswer: 2, 3, 47, 59, 56951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - 5*s - 3. Calculate l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1249, 259, 1, -3, 3 in decreasing order.\nAnswer: 1249, 259, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -319 + 329. Suppose -47 - 3 = -g*q. Solve -o = i - 4 + 5, 4*o + q*i = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -130 - 4?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -133323 (base 7) to base 5\nAnswer: -1301303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 9*g**2 + 15*g + 10. Let l be o(-7). Let x(m) = -3*m. Let k(t) = 6*t. Suppose -4*s = -3*r - 5, 0*r + 4*s = 5*r - 5. Determine l*k(d) + r*x(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {r: 1, z: 8, f: 1, b: 1, w: 2, n: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -2*f**7\/21 - f**6\/3 + f**5\/10 + 7*f**4\/6 + f**3\/3 - 2*f**2 + 3*f + 11. Suppose m(g) = 0. What is g?\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 46 + 4 = 0. Let r(g) = -2 + x*g - 1 + 2 + 0. Suppose 0*v - 4*o + 20 = -4*v, v + 9 = 2*o. Give r(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -34*b - 1153. Calculate z(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 232 in -2\/5, 0.2, -926?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, s: 10, x: 3, y: 2}. What is prob of sequence xx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 7*d + 3. Suppose 3*u - 555 = -4*c + 476, 2*c = -2*u + 686. Let i = 348 - u. What is the remainder when i is divided by b(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214806 times 83?\nAnswer: -17828898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Let y = g - 7. Let p(f) = 2*f**2 + 4*f + 2. Let j be p(y). What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 8, p: 9, n: 1, f: 1}. What is prob of sequence pfn?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3288.64 + 3374. Let m = t + -96.1. What is m rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/12 + 2*f**3\/3 - 2*f**2. Suppose -3*n = m + m + 11, 5*m + 5 = 0. Calculate the remainder when 28 is divided by u(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxq when three letters picked without replacement from {q: 11, x: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1960*g - 5354. Calculate d(3).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 3.1, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3007*y**2 + 6273*y**2 - 2742*y**2.\nAnswer: 524*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 478\/7 + -68. Which is the smallest value? (a) -5 (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/11 + -14\/99. What is the smallest value in d, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -362 + 237. Let a = -124 - u. Is -5 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a - 5*h - 25, 0 = a + h - 2. Suppose a*s - 4*u - 129 = 0, 4*s - 4*u - 112 = -3*u. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 5. Let t = -32 - -18. Let c = t + l. Let x(i) = i**2 - 2*i - 4. Determine x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.5, 74\/7, -0.73, -5, 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25500 is divided by 98.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = 3*d - 68, -100 = -4*d + 5*x. Calculate the common denominator of d and 2 + -2 + (-62)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108858000 to the nearest 1000000.\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/(-10)))\/(5\/(-28)*7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*f + 11, -5*f + 7 + 0 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 21\/15) + 174\/(-240)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 83*w**2 - 6*w**4 + 4*w**2 + 22*w**2 - 8*w**3 - w**3 + 25*w**2 + 3*w to j*w**3 + m*w + l*w**4 + z + q*w**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*182\/(-455).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -x + 8*a + 20, -5*a + 5 = 0. Let s = 123 + -200. Let l = -52 - s. Calculate the greatest common divisor of l and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i = 36. Let r be 13 + 5805\/(-450) - 1078\/(-20). Calculate the greatest common factor of r and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1490 and 2086.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 22*p - 1407 = -4*p - 12*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*h = 20 + 28, 16 = -4*h. Suppose f = 5*t - 17 - 29, 20 = 5*f. What is the smallest common multiple of y and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/46738341 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-14)*(-528)\/1320?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1556655 - -1556655.15999512. Let j = 0.16 - h. What is j rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, -0.323, -0.4 in decreasing order.\nAnswer: 2\/7, -0.323, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2 - 1. Let k(n) = 8*n**3 - n**2 + 1. Calculate k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29350723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132839 - 132806. Suppose -2*o = -215 - 303. Let w = o - 164. What is the remainder when w is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3) - (-13)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 350\/(-4)*(-20)\/30. Let l = p + -57. Put 5, l, 1\/4 in ascending order.\nAnswer: 1\/4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13290.\nAnswer: 2, 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3146))\/(sqrt(2) - (sqrt(50) + sqrt(150)\/sqrt(3))).\nAnswer: 11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 698 - 391. Let v = 307.413 - t. What is v rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51107*a - 51226*a + 6188 = 0 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42134 is divided by 726.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + -2 + (30 - (-14 - -26))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 468538378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)\/((j\/(j**(4\/3)\/j))\/j)*(j**(-2\/7))**(-1\/25)*(j\/((j\/j**1)\/j*j*j))**(-36)*j**(2\/11)*(j\/(j\/j**6))\/j assuming j is positive.\nAnswer: j**(33071\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26970)\/1178 - (-7)\/(-532)*8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 3 (c) -45160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 0.4.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3441881, 3441880, 3441879, 3441878, 3441877?\n\"Answer: -d + 3441882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013432 rounded to 6 decimal places?\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*z**3 + 14*z**3 + 7*z**3 + (3*z**2 + 5*z**2 + z**2)*(-z - 2*z + 5*z) - 2*z**3 + z + 0*z + 0*z.\nAnswer: 148*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1187331653 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:28 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + (48 - 26) - -17.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2270 - -305)*(-27)\/5.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011120020112 + 0?\nAnswer: 2011120020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 + 0.4.\nAnswer: -109.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12395048, 12395089, 12395204, 12395429, 12395800?\n\"Answer: 6*c**3 + c**2 - 4*c + 12395045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -585 divided by -87?\nAnswer: 195\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {a: 4, v: 9, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191384744.\nAnswer: 2, 43, 556351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 + 20*n\/11.\nAnswer: -2*n*(n - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 2*z**3 + 10*z + 10.\nAnswer: 2*z**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 6, -5, 6\/11, -0.03 in decreasing order.\nAnswer: 6, 6\/11, -0.03, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4039?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -271*z**2 + 21396*z + 1000. Give c(79).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152 - 33?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 167867354 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12401*g**2 + 7251*g**2 - 9933*g**2 - 5346*g**2.\nAnswer: -20429*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-15)*5)\/(-1) - -2. Suppose r = 2*l - l + 5, 5*l + 5 = d. Let h(w) = -4*w + 2. Let g be h(-2). What is the greatest common divisor of r and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 21*h + 43. Determine l(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302050 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: Convert -11c (base 16) to base 3.\nAnswer: -101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24931 (base 10) in base 9?\nAnswer: -37171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/9 + 458*v\/9 + 152\/3 = 0.\nAnswer: -228, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*o**3*t**2*x + o**3*x - 69*o*t**2 + 2*o*t - 855*o*x wrt t?\nAnswer: 34*o**3*x - 138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -182 and -6548.\nAnswer: -6730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:32 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y)\/y)\/y**(-2)*y**(1\/5)*y*y**(-2\/11) assuming y is positive.\nAnswer: y**(496\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11100358 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 115?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10 and -39\/275?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 240302378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494214 by -2.\nAnswer: -247107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 2*q + q)*(-10*q + 2*q**3 + 10*q) - 2*q**4 + 272*q + 26*q**4 - 271*q to g*q**4 + l*q + x*q**3 + j + c*q**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1730 + 2660. Is j a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4924100 to the nearest ten thousand.\nAnswer: -4920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*q + 33 = k, q = 3*k - 22. Suppose -13*w + k*w = -192. Suppose w*v = 19*v + 260. Calculate the remainder when 94 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 10*u - 8*u + 44, -92 = -4*b - 4*u. Solve b - 5 = 4*m - i, i = 2*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9874 + 17887. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/10*(-15)\/6. Let o = c + -2. Suppose 4*t = 6*t - o. Solve -t*r + 20 = -n, -2*r + 2 + 28 = -4*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38603755, 38603759, 38603765, 38603773, 38603783, 38603795, 38603809?\n\"Answer: p**2 + p + 38603753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(162) + 3 + sqrt(162) + 2)**2 + sqrt(162) - (sqrt(162) + (sqrt(162) + -5 + sqrt(162))*-2)).\nAnswer: 216*sqrt(2) + 667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 610 = 652 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.341248ml?\nAnswer: 0.001341248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f)\/(f\/(f\/(f\/(f\/f**(2\/7)))))*(f\/((f\/f**(1\/3))\/f))**3)**(-21\/5) assuming f is positive.\nAnswer: f**(-249\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 88.7.\nAnswer: 266.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 794597386 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 46*f - 5. Let k(t) be the first derivative of -45*t**2\/2 + 6*t + 13225. What is 6*k(j) + 7*p(j)?\nAnswer: 52*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156830303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-9))\/(2\/(-12)). Let s(o) = -3 + 3*o**2 - 3*o**2 - o**m + 2*o**2. What is the least common multiple of 16 and s(5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 30 = -4*a - 8, 0 = a + 2*s + 7. Let f(x) be the first derivative of 5 + 11*x + 0*x**2 - 7\/3*x**a. What is the derivative of f(d) wrt d?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -468 + 1877\/4. What is m in 0 + 3\/4*m**3 - 7\/4*m**2 + 7\/4*m**4 + 1\/2*m - u*m**5 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -584.\nAnswer: -584.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-3)\/(-6) - -3. Let n = 1 + f. Suppose n*u = -38 + 93. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10626750?\nAnswer: 2, 3, 5, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 4. Let z be f(2). What is the third derivative of 0*i**3 + 0*i**3 + 34*i**5 + 165*i**2 - 177*i**z wrt i?\nAnswer: 2040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 953600 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (1 + 4 - 0 - (-20 - -20 - -12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -57*g - 1188. Is u(-24) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 16667*r**4\/2 - 5*r**3\/3 + 5*r**2\/2 + 6*r + 8. Let c be z(6). What is c rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 + -25 + 21 - (2 - 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10677*q + 10677*q - 35*q**2 + 40*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*m - 5*c - 27, -3*c = 4*m - 50. Calculate the remainder when m is divided by 0 + (-1)\/(-2)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1048 - -1081. Let i = -727564879.9999983 - -727564847. Let d = m + i. Round d to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 + -0.5. Let u = 16.9 - 17. Let w = -0.5 - -0.4. Which is the closest to w? (a) u (b) o (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 5*g - 9 - 4*g**2 + 17 to the form n + s*g + u*g**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 773430 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/42)\/(2\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*y = 3, -3*t + 2*y + 13 - 1 = 0. Let u = t + -9. Is (6 - u)*12\/9 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 22466.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/13 + 92*h**3\/13 + 176*h**2\/13.\nAnswer: 2*h**2*(h + 2)*(h + 44)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**5 + 13*n**4 + 21*n**2 + 3.\nAnswer: -360*n**2 + 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 8.\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3 - 26416*u**2 - 237861*u + 951300 = 0 for u.\nAnswer: -12, 3, 26425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/2 - 2\/(-4). Suppose 2*p = 4*s + 14, p - 2 = -3*s - 15. Which is the third smallest value? (a) u (b) 0.04 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3167628012 rounded to 5 decimal places?\nAnswer: -1.31676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**7\/1890 - o**6\/270 + o**5\/135 + 20*o**2. Factor d(k).\nAnswer: k**2*(k - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/a**(12\/5)))\/a)\/a)\/a*a)**(5\/6)\/((a*(a\/(a\/(a**(-1\/2)*a)))\/a*a*a*a)\/a**(-20)) assuming a is positive.\nAnswer: a**(-139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1202 - 6?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 14619078.\nAnswer: 35\/7309539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyhyyyyyyhhyyhyyy. What is prob of sequence hyhy?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7302 = -5*n + w, 2*n - 2917 = 5*w. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 20220?\nAnswer: -20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose 3*a = p*f + 18, 2*a + f - 1 = -0*f. Suppose 0 = -u - a*c + 7, 5*u + c - 19 = -c. Solve l = 4*l + 5*o - 9, u*o - 15 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7820982 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 - 819*i**3 - 4038*i**2 - 4824*i = 0. Calculate i.\nAnswer: -268, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/k**(1\/9))*k**(-2\/31)*k**(2\/17)\/k**(-1\/3) assuming k is positive.\nAnswer: k**(7103\/4743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/90)\/((-1)\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from hohx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 - 318*c**4 - 52668*c**3 - 911044442*c**2 wrt c?\nAnswer: -120*c**2 - 7632*c - 316008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.93 * 40.1\nAnswer: -37.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122031 + -10?\nAnswer: 3122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 403\/8002 or 1?\nAnswer: 403\/8002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -5 + -3 + (-5 - (5 + -11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20.919037778 from 2.7.\nAnswer: -18.219037778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731732043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 29, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -32, -54, -74, -86, -84?\n\"Answer: w**3 - 8*w**2 - w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -18. Suppose 4*m = 2*g - v, 6 = 3*g - m - 2. Calculate the common denominator of 10*(g - (-168)\/(-135)) and 14\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9108\/(-161))\/99)\/((-6)\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156757 - 101405. Suppose -4*g + 314040 = -y. Suppose 2607652 = 9*c - g. What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 78*o - 77. Is j(16) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51047 + -18223760\/357. Is p bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 6434875 = -79594875. What is b rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -294.1 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 2*w + 176 = 0, 9*z - 45 + 34 = -4*w - 205 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 11. List the prime factors of x(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5\/10 - 11601*v**4\/10 + 5801*v**3\/5.\nAnswer: -v**3*(v - 1)*(v + 11602)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/8*304\/(-228)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - -935. Let a = u + -526. What are the prime factors of a?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11820*y + 4283 wrt y?\nAnswer: 11820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 - 16 = 0. Let q(r) = -2*r**2 + 2*r + 10. Let g be q(c). What is the tens digit of ((-45)\/g)\/(3\/86)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12567326 rounded to three dps?\nAnswer: 1.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 7985 + 15963 - 7978.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655409589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1 + 2*v**2 - v**2 - 1. Suppose -3*m - 12 = -3*z, -2*m + 6*m = -2*z + 8. Let w(r) = 2*r**2 - 3. Determine z*w(i) - 6*c(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3150 - -56669\/18. Find the common denominator of o and 125\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39804240 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*v + 428*p - 425*p, 3 = -3*v - 3*p for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 23*d = -20*d - 1832, 1828 = 2*r + 4*d. Suppose 16*m - 1222 = r. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2320082*g + 2320083*g - j - 30, 6*g + 5*j - 169 = 0 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6977*b + 6383945. Calculate u(-915).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2157 = 398*d - 2221 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.1, -97, -5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -52. Let x(u) = 2*u + 4. Let y be x(-3). Let r be 2 + y*1 + z\/6. Solve 0 = 3*s - 0 + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-24)\/(-21) + (-12)\/42. Solve r*l - 3*l + 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 7*u - 731. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*m*o + 714*h**3*o + 15*m*o with respect to m.\nAnswer: -h**3*o + 15*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 37507771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a, -6*h + 4*a + 583 = -h. What is the remainder when (12\/(-15))\/1*h\/(-2) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*2\/6 + 27\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 770 divided by 35\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 40. Let h(k) = k - 1. Let d(i) = 5*h(i) - w(i). Is 7 a factor of d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11642 divided by -1?\nAnswer: -11642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0a6 (base 12) in base 11?\nAnswer: -12094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, -4, 0, 18 in decreasing order.\nAnswer: 18, 13, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 34, 45, 82, 157, 282?\n\"Answer: 2*y**3 - 5*y**2 - 2*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -80, -49, -6, 49, 116, 195?\n\"Answer: 6*v**2 + v - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (13 - 8 - 15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 439296 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-3))*h**4)\/(h*h*h**(-4)\/h*h\/(h*h\/(h*h**(-1\/4))*h)) assuming h is positive.\nAnswer: h**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l - 34*l - 17 + l**2 + 36*l. Let y(w) = -w**2 + 13*w + 19. Let z be y(13). Let f be a(z). Put -4, f, -1 in increasing order.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let m(t) = -2 - 3 - 9 + 24*t + 16 - 8. Give z(m(h)).\nAnswer: -576*h**2 + 288*h - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 873 or -3.015?\nAnswer: 873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 5431427.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c + 1. Suppose 4*n - 4*t + 11 = 39, -4*n = -5*t - 30. Suppose n*i - 2*i = -m + 8, -5*i = 5*m - 10. Give w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/9930 and 56\/9.\nAnswer: 29790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 166110*f - 332200.\nAnswer: -5*(f + 2)*(f + 33220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let u(w) = -w**2 - 13*w - 9. Let y be u(-12). Suppose y*t - 6*k = -2*k + 25, 2*k = -4*t + 4. Solve -d + 20 = t*b + d, p = -2*b + 3*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 13. Calculate the remainder when 222\/(-148)*(1 + 1)*-1 is divided by 9\/6 - f\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/284, 7.43, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose 0 = 2*c + 2*c + y*i + 1, 4*i + 12 = 0. What is the third derivative of -2*m**c - m**2 + m**2 + 2*m**6 wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 32 + 66 - 7*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 43*g - 45*g + 4*x, -4*g + 14 = -x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4391262999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 44. Let l = 30 + n. Calculate the greatest common divisor of l and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/183590484 and -47\/2190342?\nAnswer: 2019495324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*31\/279)\/(6\/9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.5, 0.16, -2, -159.4471?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*g**2 - 3 - 3)*(g**3 + 15*g**3 + 3*g**3 + (3*g + 0*g - 4*g)*(2*g**2 + g**2 - g**2)).\nAnswer: -51*g**5 - 51*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 61*k**2 - 4*k - 94. What is the hundreds digit of l(-59)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 + -42. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -5\/3, -1\/9, 0.09?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 divided by 1?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2421766 (base 8) to base 11.\nAnswer: -414331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c = 51*c - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12101 less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 554217 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 + (-2 + 3 + 0)*(-2 + 1 - 1) + 3 - 1 + 0)*(-460*s + 18524 - 18524).\nAnswer: -920*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is (-610 + 606)*(-2 - (-1030)\/540)?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*l**3 + 3*k**2*l**2 + 10566*k**2*l + 379*k*l**3 + 2*k*l**2 - 15*l**3 + 21*l**2 wrt k.\nAnswer: 2*l**3 + 6*l**2 + 21132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h**(-6)\/h*h*h*h)**(-17\/3)*(h\/(h*h*h*h*((h**(-2)*h)\/h)\/h*h)*h**1)**(-7) assuming h is positive.\nAnswer: h**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 15 + -31 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*l + 1, 7 = 2*v - l + 2*l. Suppose -4*f = f. Solve -v*c + f*c = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 8:59 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*(-2)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7 - 2. Let c = t - 3. What are the prime factors of (c - 1\/(-2))*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/3 or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 12:36 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - -19.5. Let k = 27 - s. Let x = -5.9 - -6. Which is the third smallest value? (a) k (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-1)\/3 + 0. Suppose 3115 = 5*w + 4*t, s*w + t + 4*t = 1246. Let v = w + -1343\/2. Find the common denominator of -13\/2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -372 - -749. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 1, d: 1, u: 2, a: 1, o: 2}. Give prob of picking 1 d, 2 o, and 1 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -25, -48, -81?\n\"Answer: -5*n**2 + 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3221011 - -10?\nAnswer: 3221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*c - 5109720 = -549*c - 48*c. Calculate the greatest common factor of 1274 and c.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -5\/4, 5, 0.5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.593 at least 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63785 or -63781?\nAnswer: -63781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4)**(1\/9)\/(s**(1\/13)\/(s*s\/(s*s**(-6\/5)*s))))**(2\/37) assuming s is positive.\nAnswer: s**(1834\/21645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441962 and 3562?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17*(0 + (0 - 1)). Let o(q) = -q**3 - 10*q**2 + 10*q + 19. Let u be o(-12). Calculate the highest common factor of u and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:02 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 2*y - 5*y + y - y + 3*y - 2 - 2*y + 2 + 2*y - 2*y + 2*y + (2 - 2 - 2)*(2*y + 2 - 2) + y - 2 + 2 + y + 2 - 2 as x + z*y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + -0.14. What is i rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031214420 (base 5) in base 6?\nAnswer: 225124315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249.\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let q(l) = -27027969*l**2. Determine j(q(x)).\nAnswer: 27027969*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1958 and 4972?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8076367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -399 - -403. Suppose 0 = 2*r + x + 3*x - 956, -r + 466 = -n*x. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 2, 26, -4, 3\/8 in decreasing order.\nAnswer: 26, 2, 3\/8, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -37, 400, 3, -1 in descending order.\nAnswer: 400, 3, 1, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585197719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 + 46. Let c = f - -210. Sort 1\/21, -0.1, c in increasing order.\nAnswer: -0.1, 1\/21, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 15*u**2 + 43*u + 7. Calculate q(3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000156165624 to seven decimal places.\nAnswer: -0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 255829528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4296 or 1?\nAnswer: -4296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/5)\/((-4)\/10). Let c be ((-2)\/r)\/((-1)\/3). Solve -2*k + c = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (27 - -7 - 23) + -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 850ab?\nAnswer: 850b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**9\/3024 - c**6\/180 - c**4\/3 + 2*c. Let g(x) be the third derivative of f(x). Find the second derivative of g(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.2641s in minutes?\nAnswer: 7.437735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*s - 68 = 0, -5*z - 5440 = -3*s - 5397 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/6 + 8*c**3\/3 - 10*c**2 + 7*c. Let n be a(5). Solve -3 = 3*r, -6*v - n = -v - 5*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(sqrt(153) - (sqrt(153) + -1 + sqrt(153))) + ((-1 + sqrt(153))*-6 - (-1 + sqrt(153) + -2)) + -2 + 1)**2.\nAnswer: -720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (18 + -26 + 12)) + -4 + 74\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (26468 - 26483) + 1 + -1 + 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.933 - 2.533. What is the second biggest value in -4, b, 4, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 2*t - 3\/2*t**2 + 7. What is the derivative of w(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31650814 to the power of 1\/2, to the nearest integer?\nAnswer: 5626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.045 + -0.245. Let r = -186667\/330975 + -2\/4413. Let h = 3\/25 + r. Sort i, h, 0.5 in decreasing order.\nAnswer: 0.5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 168*a + 14. Let b be x(1). Let i be (b\/(-35) - -6)*5. Solve 2*p + 7 = i*q - 9, p - 4*q = -18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5460 = 2*f, f = -2*y + 4197 - 1467. Let l = 2298 - y. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1222 and 2350.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10342*m + 32146.\nAnswer: 10342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-2) - 4\/8. Suppose 5*p + 1 = -2*g + 14, 0 = -4*p + h*g + 15. What is the second derivative of -j**5 - 3*j - p*j + j + 6*j wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 98*o**2 + 2108*o + 52. Determine q(-22).\nAnswer: 1108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 2. Let p(k) = 6*k + 6. Let o(w) = -10*b(w) - 3*p(w). Let s(m) = -m. Let u(j) = -o(j) - 3*s(j). Let h(q) = 4*q**3. Let y be h(1). What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hullulhlhhhbh. What is prob of picking 2 h and 1 b?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - -1.2. Let m = 67.2 - 67. Put 2, o, m in descending order.\nAnswer: 2, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359740 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4315 - -4284) + 0 + -74?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 1 = t + 14, 9*z + t = -62 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 2*a**2 - 24*a**2 + 129 - 261.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 445 = 109. Let w be 17\/(-6) - 2\/12. Let l(y) = -5*y + 6. Let s be l(w). Calculate the greatest common factor of q and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 3794*o - 3756*o - 31, 4*o = 5*n - 67 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 65*a - 594. Calculate w(-8).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4\/7 + 16*a**3\/7 - 13*a**2\/7 + 2*a\/7.\nAnswer: -a*(a - 2)*(a - 1)*(5*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4 + 4*q**3 - 5*q + 0 + 1\/10*q**5 + 8*q**2. What is z in m(z) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33494?\nAnswer: 2, 16747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-21) - 120\/28. Let x = -9 - i. Calculate the common denominator of -67\/2 and 2 + x\/9 - 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u - 2. Let y be h(6). Let q be ((-8)\/(-3))\/((-16)\/24). Sort 4, y, q in increasing order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -576486.\nAnswer: 4\/288243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2425, 2532, 2711, 2962, 3285, 3680, 4147?\n\"Answer: 36*m**2 - m + 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b - 1 + 1)*(-1 + 0 + 2) + b - 4*b + 0*b)*(1 - 3 + 0)*(-2 + 3 + 0).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9231980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1063, 1870, 2685, 3508, 4339?\nAnswer: 5178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(0*h + 11*h - 2*h + 2 - 2 + h + (4 - 2 + 0)*(5*h - 5*h + 2*h) + 3 - 3 - 3*h)*(2 + 0 - 3).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - i - 16. Let n be r(5). Let b be (-1)\/n + (-903)\/(-28). Suppose 0 = -5*z - b + 207. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.8522 rounded to one decimal place?\nAnswer: -32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695354, -695474, -695594, -695714, -695834?\nAnswer: -695954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718830 is divided by 443.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 57, -0.4, 1\/76861?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013544 is divided by 189.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, g: 5, h: 4}. Give prob of sequence hhdd.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, o: 2, x: 5}. Give prob of picking 1 o and 2 x.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25936.2*-206.\nAnswer: -5342857.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x + 14. Let u(c) = -4*c + 5. Let t(v) = -11*u(v) + 4*z(v). Let d(g) = -7*g + 1. Give 6*d(l) - 5*t(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 14*j + 2*z = 4, 2 = j + 4*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*z + y + 24, 5*z + 4*y + 63 = 0. Suppose 4*u - 72 = -2*r, 6*r = 4*u + r - 44. Let s = z + u. Solve -3*i = -s*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {i: 1, n: 2, k: 1, b: 1, j: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y, -4*c + 11 = 3*y + 1. Which is bigger: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(175) + 3 - (sqrt(175) - (sqrt(175) + (-4 + sqrt(175) + 1 - sqrt(175))))))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -22*g**4 - 38*g**3 - 20*g**2 + 20*g - 12. Let n(r) = r**4 + r**3 + r**2 - r + 1. Let s(d) = a(d) + 12*n(d). Factor s(o).\nAnswer: -2*o*(o + 1)*(o + 2)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c = 54*c. Solve c = 5*t + 21 + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, 1 b, and 1 x when four letters picked without replacement from abxcnnauanaax?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1655*y + 49515. Determine x(30).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3140 times 3\nAnswer: 9420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*c**2 - 237*c**2 - 6*c - 3*c + 470*c**2 + 9*c - 102.\nAnswer: 10*c**2 - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338432821?\nAnswer: 3, 619, 46639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1360596190 to the nearest one hundred thousand.\nAnswer: 1360600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1673*a**3 - a**2 + 3*a - 2. Let u be g(2). Suppose 0 = -25*w + 17*w + u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.8866 decades in months?\nAnswer: 64666.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + -412?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**3 - 4*d. Let h be v(2). Suppose -2*q + 60 = 3*n + 23, 0 = 2*n - 2*q - 8. Calculate the greatest common factor of n and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*l**4 + 304607*l**3 - 11*l**2 - 16473688*l?\nAnswer: -912*l + 1827642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.709333ns in microseconds?\nAnswer: 0.001709333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11003574 is divided by 550175.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sljlsssls. What is prob of sequence ls?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24)*-1*4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209847830 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71624978 to the power of 1\/2, to the nearest integer?\nAnswer: 8463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2260643 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 4. Let a be m(-5). Let d = -731\/10 - -73. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**25\/(u*u**(-4\/7)*(u\/(u\/u**(1\/7)*u*u))\/u))**(-1\/49) assuming u is positive.\nAnswer: u**(158\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3371581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -20095.\nAnswer: -22\/20095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5606 + 5625. Which is the closest to 2\/9? (a) 0.5 (b) 3 (c) -0.3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2*x**3\/3 - 3*x**2 - 4*x + 91. What is c(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*sqrt(12)) + 3 + 1 + (sqrt(110)\/(sqrt(490)*1 + sqrt(490)) + 5)**2 + -4.\nAnswer: 12*sqrt(11)\/7 + 4911\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1571*v - n = -1567*v - 27, -5*n + 21 = v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 20654\nAnswer: 20654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**4 + 53*p**3 + 487*p**2 wrt p?\nAnswer: 120*p + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720122023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 967801717 to the power of 1\/2, to the nearest integer?\nAnswer: 31110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -2505?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 147\/(-60) - 1\/4 and -67\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 + 3\/1 + -3. Let t = z - -16. Suppose -t*v - 4 = -4*v, 0 = 4*p - v - 1992. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*(-7*z + 4*z + 4*z - 4*z + 3*z + 0*z - 3*z + 4*z - 3*z + (3 - 2 - 2)*(6*z - z - 4*z) - z - 1 + 1 - 4*z + 6*z + 4*z) as n + d*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 293. Let o(a) = -3*a. Give o(u(l)).\nAnswer: -3*l + 879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwkgkgwppnpppkpwkkk. Give prob of sequence gg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from dnnndd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(77) + -3*sqrt(77)))\/(1*sqrt(44)) - 2*((sqrt(448)*-1 + sqrt(448))*5 + 0))**2 + -5.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 20. Let s be k\/(-2*(-2)\/4). Suppose -4*n - 324 = -3*w, -3*n + 92 = w + n. What is the greatest common factor of s and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*j = 2*u + 40, 4*u - 4*j = 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -3\/2*h**2 + 2 + 0*h**4 + 0*h**3 - 1\/30*h**5 - 1\/120*h**6 + 0*h. Let f(v) be the second derivative of l(v). Solve f(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + 2. Let h = f + -2.4. Which is smaller: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/(a*a\/a**(2\/41)*a)))\/a)**(-5\/6)*(a**(5\/6))**(-23\/2))**(-3\/16) assuming a is positive.\nAnswer: a**(5105\/2624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.9128 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 433202030 (base 5) in base 9?\nAnswer: 3430070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 0 - 11240\/(-1686)*18\/8\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3448964, 3448965, 3448966?\n\"Answer: a + 3448963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3738 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 3*q + 2. Let v be p(-12). Let i be 2\/(-16) - v\/16. Let a = i - -129. What is the remainder when 112 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {m: 1, l: 5, r: 1, y: 2, w: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 28*t**3\/3 + t**2\/2 + 6*t + 4608. Determine m(2).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/162*(6\/10 - (-108)\/(-280))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 - 158. Suppose -b*z = -3*k - 735, 3*z - 171 = -k + 584. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-4\/5)*s)\/s*s**(2\/9))\/(s**1\/(s\/(s*s**(-1\/4)))) assuming s is positive.\nAnswer: s**(409\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 34*z**2 + 34*z - 75. Let q = -524 - -2109\/4. What is the common denominator of q and r(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 4.7. Let u = j + -3.3. Let h = -0.1 + -0.3. What is the third smallest value in h, u, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 + 28*s**3 - 32*s**2 = 0. What is s?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 2. Let w(s) = -2*s + 3. Let g(b) = -5*k(b) + 2*w(b). Let h be g(7). Suppose 4*c - 9 - h = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 - 11*x**4 + 543*x - 543*x + 2*x**3 + (6*x**4 - 5*x**4 - 2*x**4)*(2*x - 4*x + 0*x) + x**5 + 0*x**5 + x**5.\nAnswer: x**5 - 11*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -425. What is the smallest value in -1, -2\/19, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17597270 + -6?\nAnswer: 17597264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6045, 8380, 6993, 1878, -6971, -19560, -35895?\nAnswer: -55982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**3 + j**3 - 3*j**3)*(-1 + 1 - 2) - 3 + 3 + 6*j**3 + (0*j + 0*j + j**2)*(-j + 4*j + 0*j) as x + w*j + v*j**3 + u*j**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872*n**3 - 485*n**3 - 161*n**3 - 295*n**3 - 398*n**3.\nAnswer: -2211*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.51312cm to millimeters.\nAnswer: 575.1312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 7 - (-8 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1297 = -3*h - 1353, h = -3*w - 32 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61805459 greater than 61805461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 + -10?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 - 6.62. Let g = -7.02 - h. Round g to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129734598?\nAnswer: 2, 3, 7, 149, 20731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(81)*-4)\/((sqrt(15) + (sqrt(45) + sqrt(315)\/sqrt(7))\/sqrt(3))\/sqrt(5)).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383764527 by -513741.\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x*x\/x**11)*x**18\/x assuming x is positive.\nAnswer: x**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/(-172) - 42\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0931 - 0.1069. Let y = -18 + 5. Let o = -9 - y. Which is the nearest to -1? (a) 3 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*w + 2*w - 45, 0 = 4*s + 20. Suppose -4*r + 2*k + 26 = 0, -47 = -w*r + 3*k - 12. Put 4\/7, -3, r in increasing order.\nAnswer: -3, 4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 24 = -r - 0, -4*q = 2*r - 28. Find the third derivative of 10*s**4 + 3*s**r + 22*s**2 - s**2 wrt s.\nAnswer: 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-3\/7)*z*z)\/z*(z*z*z**(-7))\/z)\/(z**(-1\/4))**(-31) assuming z is positive.\nAnswer: z**(-313\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5*40\/350)\/((-2)\/21). Solve -15 = -9*a + u*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4750947\/73 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 - 3*d**2 + 2. Let m be (-58)\/(-8) + -6 + (-378)\/(-56). Suppose m*v = 2 - 18. Let g(h) = h**3 - 4*h**2 + 3. What is v*g(p) + 3*i(p)?\nAnswer: 4*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 - -4.27. Suppose -4 - 11 = 5*y. Let s be (21\/9 - 3)\/1. What is the third smallest value in q, s, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13315741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15482.7 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -2. Let i be ((-6)\/7)\/(z\/(-7)). Let g(d) = -2*d - 8. List the prime factors of g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1216, -693, 170, 1379, 2940, 4859?\n\"Answer: x**3 + 164*x**2 + 24*x - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)*r*r*r\/(r\/r**(2\/11))*r)\/((r*r**(-2\/9))\/(r\/(((r**(-1)\/r)\/r*r)\/r*r))))\/(r\/(r*r*r*r**(-1)*r)*(r**(-2\/9)*r)\/r)**25 assuming r is positive.\nAnswer: r**(11971\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3511?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23318 - -23317.9999981253. Round t to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136\/3 - -410\/9. Let h = 2 - 3. What is the biggest value in a, h, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 52101 = -5736. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6727 (b) -3\/8 (c) -0.07 (d) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from nnnhhxhthnx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**6\/30 - 87*c**5\/4 + 1176*c**2 - 8*c + 1. Differentiate v(y) wrt y.\nAnswer: -4*y**3 - 1305*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 15 = 5*i, i - 428 = -2*w - 435 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 26 = -70. Let b be (k\/7)\/(-6) - 4\/14. Suppose 0*x = -4*x - 3*d, 4*x - 8 = -d. Solve b*a - s = -a, -2*a = -x*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 0*n**3 + 0*n**4 + 47*n + 1\/2*n**5 + 97\/2*n**2. Differentiate s(y) with respect to y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**3 - 9*y**3 - 10*y**3 + 35*y**3 - 3*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + o = -4*o - 15, -2*c + o = -3. Let u = -31.9 - -33. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/49 (b) 4 (c) 3 (d) 2 (e) 3\/8 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(f**3 + 104 - 290 + 126) in the form d*f**2 + b*f + a + z*f**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/54*(-18)\/8. Which is the closest to q? (a) -3 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -47*b + 82*b + 4 - 41*b + b**2. Let m(t) = t**3 - 4*t**2 - 3*t - 7. Let a be m(5). Let n be i(a). What is the third smallest value in n, -3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i + 4. Let n be t(2). What is the units digit of (-1)\/(n\/1302) - 4\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/21)*w)**4\/((w**(6\/5)*w)\/(w\/(w\/(w*w\/w**(2\/3))))) assuming w is positive.\nAnswer: w**(123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((1*sqrt(72)*-1 + -1 + sqrt(72) + 3)**2 - 3*(-3 + sqrt(72)*1)**2))*-3.\nAnswer: -324*sqrt(2) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 5, 2, -322?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 42. Solve n*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.278 + 0.588. Let j = y + 4.69. Sort -0.2, 2, j, 0.1 in decreasing order.\nAnswer: j, 2, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*w - 17, 17*o - w - 59 = 11*o. Solve -5*v - u - 8 = 0, 2*v - 19*u + 15*u = o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v + 61*v - 38 = -2*x, 4 = 2*v + 4*x. Let o(c) = -c**3 + 12*c**2 + c + 4. Determine o(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 + -15.87. Let i = d + 15.99999945. Round i to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 24. Let y(b) = b**3 - 13*b**2 + 13*b + 13. Calculate the remainder when 47 is divided by y(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 48743?\nAnswer: 48738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(1\/8)\/g)*g\/(g*g*g**24\/g))\/((g*g**(-1\/35))\/g*g*g*g*g\/(g**(-1\/37)\/g)*g) assuming g is positive.\nAnswer: g**(-291359\/10360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(935\/68))\/(1\/45*3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -8) + 4\/(0 - -2). Let n be 5 - u - (4 - 8). Solve -2*s = n*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54.05 - -54. What is the second biggest value in k, -4, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9.933. Let l = n + 1.893. Let k = 1.96099 - l. What is k rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/13))\/t*t*t**(-2\/7)*(t\/(t\/t**(2\/9)))\/(t**(-6)*t)*((t**2)**(-7))**11 assuming t is positive.\nAnswer: t**(-121138\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-913)\/231) + (-2)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, -5, 0, 4, -22, -4, 5 in descending order.\nAnswer: 379, 5, 4, 0, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, r: 3}. Give prob of sequence krkr.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = a, -2*j = 4*a + 2*j - 12. Suppose -1 = 4*u + 5*r, 2*r - 18 = -5*u + 2. Suppose 6 = 3*w - u. Solve -a*b - w - 4 = 3*h, -2*h = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*l = 3*y - 10, 48*l + l - 24*l = -2*y - 54 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.04056 * -0.5\nAnswer: 0.02028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6 = -18. What is the common denominator of h + (500\/(-56) - 1) and -23\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l - 6. Let g(m) = 1. Calculate -6*g(h) - x(h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17771 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 56. Let a be t(9). Suppose -3*l + 16 - 4 = 0. Suppose 0 = -l*w + 5*z + 10, a*z - 4 = -2*w + 4*z. Sort -5, w, 3 in decreasing order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3617 + -0.0383. Let w = -43 + 44. Put 4, w, 0.4, h in decreasing order.\nAnswer: 4, w, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**3 + 13*p**2 + 21*p - 10. Let x(z) = -5*z**3 + 6*z**2 + 10*z - 5. Let i(b) = 6*g(b) - 13*x(b). Let h be i(1). Solve 5 - h = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 2.7. Let z = 0.4 + k. What is the second biggest value in -2, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112573305.\nAnswer: 3, 5, 13, 199, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30679322 to the nearest integer?\nAnswer: 5539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4012338?\nAnswer: 2, 3, 11, 60793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1209965 or -1?\nAnswer: 2\/1209965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 605, 2835, 7093, 13775, 23277, 35995, 52325, 72663?\nAnswer: 97405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**4\/16 - 201*y**3\/8 + 303*y**2\/4 + 2*y - 2982. Factor k(h).\nAnswer: -3*(h - 1)*(h + 202)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1236 (base 12) to base 2\nAnswer: -100000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311310313 + 10?\nAnswer: -311310303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l - 3. Let o(s) = -6*s - 4. Let n(x) = -4*k(x) + 3*o(x). Let y be n(7). What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5 + (1 - 3 + 0)*(-23 - 56 + 27))*(6*i**2 + 2*i**4 - 6*i**2).\nAnswer: 198*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-15)\/(-10) + -1). Is -0.1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liiliiliil. What is prob of picking 2 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*y + 4*b + 52, 44 = y + 5*b. Suppose 7*t - 22 = -2*q + 3*t, -4*q - 5*t = -y. Sort -2, q, 3 in descending order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-12) + (-50)\/(-12) - 0. Suppose 2*u - 2 = f*u. Let b = 3080\/57 - 164\/3. Which is bigger: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010111 + -10?\nAnswer: -1111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*a - 25*a + 4. Let i(y) = -y**3 + 15*y**2 - 11*y + 9. Let s(w) = 2*w**3 - 15*w**2 + 12*w - 8. Let b(p) = a*s(p) + 3*i(p). Solve b(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(245) + 2 - sqrt(245))*-6 + -2 + (-3 + sqrt(245) + sqrt(245)*-2 - -4*sqrt(245)*1))**2.\nAnswer: -546*sqrt(5) + 2374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**3*m**3*z - 52*h**3*m**2*z + 34*h**3*z - 72*h**3 + 437*h*m**3*z - 2*h*m**2 + 9*m**3 wrt m?\nAnswer: 24*h**3*z + 2622*h*z + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - b**2 + b. Let x(h) be the third derivative of -h**6\/120 + h**4\/24 + h**3\/6 + 8*h**2. Give o(i) - x(i).\nAnswer: -i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5532300 (base 7) in base 10?\nAnswer: 680316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/3 + 58*d**2\/3 + 186*d + 594 = 0.\nAnswer: -11, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from {e: 2, o: 18}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 5468\/5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*(-5)\/(5\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349123 is divided by 116229.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2082*y + 1049. Is w(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74660, 74661, 74662?\nAnswer: 74663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*t + 847*t + 3 = 426*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**2*q + 3*o**2*y**2 + 3*o*q*y**2 + q*y**2 + 105*q + 2*y**2 wrt o?\nAnswer: 2*o*q + 6*o*y**2 + 3*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -224 divided by 932497\nAnswer: -224\/932497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156848, 156188, 155528, 154868, 154208?\nAnswer: 153548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/((-2)\/(-12)). Let a be (j\/3)\/(6\/189). Let u = a - 11. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -o. Suppose 4 = -b, 2*b = -o*s + 6*b + 56. What is t in -20*t + 70*t**3 + 0*t**4 - 4*t**4 - 14*t**5 - 12*t - 16 + s*t**2 - 24*t = 0?\nAnswer: -2, -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 63. Solve -a*f + 2*f = -8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f + 25*f + 65 = -25*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-4) + 3\/(-12). Let f be (-3)\/(-2)*4\/q. Suppose f + 2 = h. What is the remainder when 6 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:17 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 3*c - 2. Let a be u(-2). Suppose 2*x + a*x - 14 = 0. Calculate the remainder when x is divided by 20\/6 + (-1)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*s, -9 = -2*y - s. Suppose 4*p - 4 = 0, 14 + 22 = m + y*p. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -719 <= -705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 273215163 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 3*j + 1603 - 1690, 0 = -5*l + 3*j + 102 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 12. Let f = 12 - a. What is the smallest value in -2, f, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501770 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -10, -0.3, 0.2, -4139, 0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23001, -2\/783, 3 in descending order.\nAnswer: 23001, 3, -2\/783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 2. Let j(z) = z**2 - z - 1. Let v(m) = 6*j(m) + 7*q(m). Suppose 7 + 8 = 5*l. Calculate the remainder when v(-6) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 3*v + 197, -4*f - 3*v = -439. Suppose 2*u = 8, -f - 26 = -5*m + 2*u. Solve 4*h - 20 = 0, -h + 6*h - m = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -573*i + 3420. Determine d(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044637883 rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/7))**(-1\/36)*l\/l**(-5)*l*l**(-3\/5) assuming l is positive.\nAnswer: l**(891\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 3 - (-6)\/2. Let o = -1 + 1. Let f(m) = 2*m - n*m - 2*m + o*m. Determine f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10535 + 10535.00025386. What is h rounded to 6 decimal places?\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 370 (base 12) in base 13?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -622 - -646. Suppose -148965 = -z*a + 5811. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163\/5, -1, 766, 1\/7, 1, -55\/7 in descending order.\nAnswer: 766, 1, 1\/7, -1, -55\/7, -163\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000888 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 19, 45215, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 12. Let g(f) be the third derivative of 0 - 1\/150*f**h + f**2 - 1\/30*f**4 + 0*f**3 + 0*f. Factor g(m).\nAnswer: -2*m*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + y**2)*(-3 + y + 3)*(-1 + 2 + 0)*(-1840 - 10642 + 2028).\nAnswer: -20908*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 10. Let k be v(1). Calculate the greatest common factor of k and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 10, 0.1, -0.2 in increasing order.\nAnswer: -0.2, 0.1, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -626 - -626. Let i(s) be the third derivative of m*s + 0 - 1\/240*s**6 - 1\/60*s**5 + 0*s**3 - 1\/48*s**4 + 9*s**2. Let i(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934 (base 14) to base 2.\nAnswer: 11100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2957413 or 1?\nAnswer: 5\/2957413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, i: 2, d: 4, n: 5}. Give prob of sequence id.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Let q be 3\/(-2)*20\/(-10). Let p be (-1)\/q - (-52)\/12. Solve -p*k + 0 - 16 = u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6381931*0.5.\nAnswer: 0.31909655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2))\/(0 - -3 - 4). Sort -1, -2\/3, 4, r in increasing order.\nAnswer: -1, -2\/3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88.9, -5, 21, -0.02 in ascending order.\nAnswer: -88.9, -5, -0.02, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-315)*14)\/((-2)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 102*c**2 + 125*c + 1622. What are the prime factors of z(-12)?\nAnswer: 2, 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = -f + 8, 3*f + 2*q = 20. Let n(j) = -j**2 + 4*j + 1. Let k be n(f). Sort 5, 3, k in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 7817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.61 + 15579.5133.\nAnswer: 15588.1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 5. Suppose -4*n - 12 = -2*t, t - 2*n = -t + 20. Suppose -a + t - 8 = 0. Determine s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*-3*sqrt(4840) - sqrt(4840))\/(sqrt(48)\/(-5*sqrt(18)\/sqrt(3))) + -5.\nAnswer: -110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -8, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 5, 0.35, -3, -58?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 times -5?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 5. Let v be q(7). Suppose j + 3*u = -15, 2*j + j = u + 5. Suppose -v*h + 6 = -j*h. Solve -h*y = y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 11. Let l be 41 - (4 - 2)\/1. Let q = -27 + l. Calculate the greatest common divisor of q and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, -4\/7, 0.3332?\nAnswer: 0.3332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988911567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18622169.54 and 4.\nAnswer: 18622173.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36335 (base 9) to base 13\nAnswer: -b0c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -449 + 164. Let o = -197 - u. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*n + 7*w + 9, 5*w = 0. Suppose -1 = n*f + 2. Is (1 + 0)\/f - -92 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816896 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) + 0 + -1)*-3 + (1*sqrt(1008)*-6 - (5 + sqrt(1008)*-2)))*-6)**2.\nAnswer: 12096*sqrt(7) + 1778256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 4) to base 8\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 - 2.6. Put -1\/3, s, 3\/19 in increasing order.\nAnswer: -1\/3, 3\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -8.9. Let v = -1005.842 + 1014.9. Let x = r + v. What is x rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(375))\/(sqrt(3)*-2*-5))**2 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(((-387)\/60)\/(-43))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 46268?\nAnswer: 41641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 85. Let c = 0.72 - 1.12. What is the closest to 1 in 1\/11, c, n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 970356401 to the nearest integer?\nAnswer: 31151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**8\/168 + j**5\/60 - 3*j**2\/2 + 3. Let l(g) be the second derivative of i(g). Find the third derivative of l(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14780 and -5.\nAnswer: -14785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:33 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from tfpxght.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 593142 by -98857.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -145413 rounded to the nearest 1000?\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-4))\/(-13)*(15\/52)\/((-2205)\/7840)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675\/175 + 1\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.049, -3 in increasing order.\nAnswer: -3, -1\/6, -0.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1543805493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1354 - -1358. Sort -66, -2, f in increasing order.\nAnswer: -66, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f + 78 = -198 + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**4 - 97*o**3 + 604*o**2 + 3 wrt o.\nAnswer: -120*o - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1566)\/18)\/(69\/23)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5448\/7 - 778. Let c(r) = 7*r + 32. Let m be c(-5). What is the closest to m in y, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333578514 to the power of 1\/3, to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20202231 is divided by 3121.\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -10. Let q = w + 17. Let u = -14 - q. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -18, 5, 48, 117?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -70989775\/11 at least as big as -6453617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - -1.91. What is the third biggest value in u, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 12. Let f = 23 - 13. Let n be p(f). Sort n, 5, 3 in descending order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47218790 less than -47218788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -24.3. Let j = 30.6 + -33.6. What is the closest to m in 7, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5233677.\nAnswer: 3, 1744559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 65. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 + -257. Let l(r) be the first derivative of 0*r - 6 - 2*r**2 + 3\/2*r**4 + m*r**3. What is the second derivative of l(j) wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26273 to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 152 - 111 - -135\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9))**(-3)\/(j**(-13)*j*j*j**(-18)) assuming j is positive.\nAnswer: j**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(-1 + 23\/24). Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Let q be (9 + -1 + 2)\/3. Let u = 0.01411 - -0.28589. What is the second biggest value in q, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 188213\/(-270886) + 20\/22?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*t + 0 = -7, 0 = t + 5. Let f = 4 - i. Let l = -93 + 461\/5. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + g)*(-2 + 2 + 1)*(-1 - 3 + 1)*(2 - g - 2).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*s = -194, s = -4*k - 3*s - 156. Let a = -17 - k. Suppose 9 = -3*g + a. Solve -2*v - 3*f + 2 = -2, 5*v + 36 = g*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 16)\/((-4)\/6). Let m be 2 - -1*p\/(-3). Let u be ((-1)\/3)\/(m\/150). Solve 0*j + 5*j - u = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 5*w - 4. Let d be b(3). Factor -t**3 + d*t**2 - 78*t + 82*t - 2*t**2.\nAnswer: -t*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1122 * 3.4.\nAnswer: 0.38148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and 49\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 12:40 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Suppose 2*a = j + 3*j - 6, 0 = 5*j - 15. Let g(m) be the second derivative of -m**3 + 2*m**3 - m - 3*m**a + 10*m. Determine g(p(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z\/z**(-2\/7))\/z)\/z)\/z)\/(z*(z**(-2\/11)\/z)\/z*z))**(-21)*(((z**(-2\/3)*z)\/z*z)**(-6\/19))**33 assuming z is positive.\nAnswer: z**(1611\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2 - -2) + 0. Let c(m) = 2*m**3 - 194*m**2 + 198*m - 571. Let v be c(96). Solve -4*s + g*i + 2 = -8, v*s = -3*i - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(((m*((m*m**(-1\/4))\/m)\/m)\/m)\/m)\/m*m*m)**(-24)*(m\/(m*m\/m**(-5)))\/m**(-4))\/((m**(2\/17)\/m)\/(m**(-2)\/m))**(40\/3) assuming m is positive.\nAnswer: m**(-820\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**36*w**(-1\/11)*w*w*w**(-5) assuming w is positive.\nAnswer: w**(-826\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-4)\/(-238)*(-294)\/(1050\/(-25)))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-6)\/((-7)\/(28\/8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7095621m to millimeters.\nAnswer: 709.5621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199725654043693\/2824372742 + -117162\/3063311. Let a = -70715 + n. Let t = a - 44409\/15674. Calculate the common denominator of -10\/11 and t.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/13, -82, -1\/10, -2\/7 in increasing order.\nAnswer: -82, -2\/7, -1\/10, -1\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*l**4 - 87*l**3 - 33308*l.\nAnswer: -228*l**2 - 522*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*g**3*j*k**2*x - 28*g**3*x + 40*g**2*j*k**2*x - 2*g**2*j*k*x + 10*g*j*k*x - 5*g*k wrt k?\nAnswer: -150*g**3*j*x + 80*g**2*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*r = 4*g + 320, -2*r = 2*g + 320. Let p = g - -1122\/7. Suppose -v = -h + 8, 20 = -h + 3*h - 3*v. What is the nearest to 0.5 in -2, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/4305 - -71957\/8610. Calculate the common denominator of 116\/12 + 1\/(-4) and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*(-34)\/1462*(-312)\/(6\/1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 + 1255*a**2 - 3720*a = 0. Calculate a.\nAnswer: 0, 3, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1248)\/300)\/(-13)*(-10)\/12*-6?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 27*k + 1. Let j(u) = -u. Let a(p) = 6*j(p) - o(p). Let c be a(-1). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 45 = 5*c, -6*o + 20 = 4*c - 2*o. Suppose 0 = -q + 4*p + 12 + c, -4*q - 2 = 2*p. Solve -4*k = -2*u - 2, 0 = -u + 6*u - q*k - 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4704 divided by -4.\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 8*k - 15*k. Suppose 5*y + 0*y - 3 = 2*j, -5*y - k = 5*j. Let i be y*(-7 - (-8)\/2). Solve -i - 18 = r + 4*w, -5*r = -5*w - 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187\/(-748) + 67\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.01855 decades in months?\nAnswer: 962.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + 123\/(-39))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-610)\/(-24) + (1563 - 1592)?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.2. Which is the nearest to 1\/2? (a) -2 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*r**6 - 57466233*f*r**4 + 4*f*r**2 + 12033918*f + 2*r**2 wrt r.\nAnswer: -240*f*r**3 - 1379189592*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58270 is divided by 5283.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 113, 112, 119, 140, 181, 248, 347, 484?\n\"Answer: m**3 - 2*m**2 - 2*m + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3150884779?\nAnswer: 7, 19, 101, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 41385*c - 248. Let b(w) = -836*w + 5. Determine -248*b(p) - 5*f(p).\nAnswer: 403*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.74, -36, -3 in descending order.\nAnswer: 1.74, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*i = -52, 5*i - i = -16. What is the units digit of 7*1 - s\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p - 8*p + 7*p)*(-3*p**3 - 2*p**3 + 3*p**3).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7470257 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1101, 3, -4, 31, -966 in increasing order.\nAnswer: -1101, -966, -4, 3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, -955, 0, -4 in decreasing order.\nAnswer: 1, 0, -4, -16, -955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, n: 2, t: 8, q: 2, s: 3}. What is prob of picking 2 n and 1 s?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 2*v**2 + 1\/60*v**6 + 0*v**3 + 0*v + 1\/105*v**7 + 0*v**4 - 1\/30*v**5 + 0 - 1\/168*v**8. Factor o(w).\nAnswer: -2*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 146?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*q + 1029, -5*w + 30*q - 25*q + 5265 = 0. What is the remainder when w is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16426806637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 420889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4320 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7805.386 centuries to months.\nAnswer: 9366463.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008531603 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2329, -3\/2, -2\/7, -3 in ascending order.\nAnswer: -3, -3\/2, -2\/7, 2329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o**18\/o))))\/(o*o*o*o\/(o\/(o**(1\/7)\/o))*o*o))**(-10\/3) assuming o is positive.\nAnswer: o**(470\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = 11, 5*c = -2*h + 71. Let g(t) = -t - 26. Let w(a) = 3*a + 78. Let l(s) = 17*g(s) + 6*w(s). Let p be l(-21). Solve p*n - 2*n = -c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71698 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66.62 + 1.62. Let g = -64.9 - i. Which is the biggest value? (a) 2 (b) 1\/3 (c) -3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 42500*q**2 - 2*q + 4. Let k(z) = -z - 1. Let a be k(-3). Let h be f(a). What is h rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 154*i**3 - 2*i**4 - 154*i**3 wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 5*o + 3. Let l be 1\/(-3) + 91\/21. Let r be h(l). Let c be -1 - -3 - r\/(-2). Are 2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*q - 29*q + 220. Let t(x) = -5*x**2 + 9*x - 2. Let z(w) = -11*w**2 + 19*w - 4. Let i(c) = -9*t(c) + 4*z(c). Determine i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**3 + 3*h**2 - 3*h + 1. Let y be c(1). Let v be (y\/3 + -7)\/((-6)\/(-12)). Find the common denominator of 45\/22 and ((-33)\/12 + 2)\/(2\/v).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4699 + 4699. Put 1, 4, n, -5, -6 in descending order.\nAnswer: 4, 1, n, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 5:51 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, u: 1, f: 1, l: 2}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 24)\/((-1)\/(-3)). Calculate the greatest common divisor of x and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 120*s - 2346. What is the remainder when 1333 is divided by z(20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 14, 35, 64, 101, 146, 199?\n\"Answer: 4*m**2 + m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:40 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 101*f**2 - 83*f - 2012. What is z(100)?\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0.4 (c) 4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0*m + 22*m - 6)*(0 + 1 - 4) as v + z*m and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 34 = -4*w, -w = 4*n - 0*w - 28. Suppose -2*p + n*p + g = 20, 15 = 3*p - 3*g. Solve 2*l - 1 + p = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11\/15 (b) 2\/15 (c) 1\/6 (d) 0.2 (e) 15 (f) 1283 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*45783\/(-6). Let m = g + 183205\/18. Find the common denominator of m and (-10)\/12*(-18)\/(-240).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and -0.085?\nAnswer: -3.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 29523.7 to the nearest 100.\nAnswer: 29500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 2\/7 (b) -2\/11 (c) -1.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 144 (c) 4\/7 (d) -18873 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61 (b) 0.3 (c) 0 (d) 2396\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -3806, 8, -1 in decreasing order.\nAnswer: 8, 1, -1, -3, -3806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47507588 minus -83911?\nAnswer: -47423677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 2*sqrt(45))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c2b - -2?\nAnswer: 1c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -17*x**2 + 7*x - 2. Let y be q(4). Let o = 414 + y. What is the greatest common divisor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1371136\/(-144))\/(-104) + -90\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (308\/88)\/(14\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 + 6*f**2 - f**2)*((0*f + f - 2*f)*(1 + 0 - 3) + 3*f + 3 - 3) as c*f**3 + h*f**2 + z + k*f and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 174384*g - 4184928.\nAnswer: -(g - 348744)*(g - 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12147*l**3 - 6068*l**3 - 6080*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130946 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 11 = 51. What is the greatest common factor of v and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4119 + -4115. Solve -9 = g*n + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 730118 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccccssccc?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*sqrt(65)*1)\/((-1*sqrt(55)*2)\/sqrt(11)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-13 - (8 + -12 + 0)) + 11 + 33\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4513122 divided by -250729.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 94546.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 63\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 6886848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 356 = -26*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096356327 divided by -149347?\nAnswer: -7341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -72 in increasing order.\nAnswer: -72, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 22 = 2*t. Calculate the remainder when 60 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -32*k - 10. Determine v(2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*m - 21 = 0, -9*g + 3*m = 2*g - 6*g - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaxvnppuvnn. Give prob of sequence aa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381.3174ns to seconds.\nAnswer: 0.0000003813174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147695 and 193765?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5 + 934*l**4 - 23647*l**3 + 35178*l**2 + 212904*l - 392256 = 0.\nAnswer: -3, 2, 3, 24, 908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**1)**(-11)\/((g**(1\/3)\/g)\/g)**(-29\/2))**(-31) assuming g is positive.\nAnswer: g**(4495\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*s + 25*s + 7326. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 65 + (61 - 57) + -35\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3701 + 88.\nAnswer: 86.6299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2. Let m(b) = -b**3 + b**2 + b + 2. Let d be m(2). Let c be y(d). Suppose -4 = -0*p + c*p. Sort p, -4, 1 in decreasing order.\nAnswer: 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 1\/7 (c) 3\/25 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20.96 and 130361.7221?\nAnswer: 130382.6821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-249)\/5)\/((-24327)\/2430 - -10) is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -5, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**2 - 11*p. Let z be w(7). What is z rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2 (c) 48 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + s - 45 = -0*f, 0 = 2*s. Calculate the remainder when 2 is divided by (-5)\/2*(-12)\/f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/((c**8\/c)\/c))\/c)\/(((c\/(c*c**16)*c)\/c)\/c))**(-31\/3) assuming c is positive.\nAnswer: c**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 0.4, -4 in decreasing order.\nAnswer: 0.4, -1.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 982 - 152. What is the remainder when 5775 is divided by s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w = 4*y - 206, 274494 - 274543 = 5*w - 2*y for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, i: 1}. What is prob of picking 2 r?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -917 in 1\/6, 1\/5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 2*o - 4. Let f be q(3). Suppose 2*l - 4*l = -f. Suppose 0*u = -l*u + 376. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 2*q - 2*q)*(73*q - 2 + 25*q + 51*q).\nAnswer: -447*q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504880282?\nAnswer: 2, 252440141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31, 18924, -42.6?\nAnswer: 18924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78276515 a multiple of 2109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36843, 0, 2 in ascending order.\nAnswer: -36843, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -329, -331, -333, -335?\n\"Answer: -2*s - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m - 6 = -44 - 80. Let n(d) = -12*d**2 - 4*d - 1. Let u(b) = -23*b**2 - 9*b - 3. What is m*u(w) - 5*n(w)?\nAnswer: 14*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34991 - -34816.97. Let z = -174 - d. Which is the nearest to 1? (a) z (b) -2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6808, -6737, -6666, -6595, -6524, -6453?\nAnswer: -6382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:10 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -911\/11?\nAnswer: -911\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 - -8) + 2248\/4. Suppose -306*d - h = -307*d. Calculate the greatest common factor of 33 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/((-36)\/84) + 1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180494 or -181782?\nAnswer: -181782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094313514 less than -5?\nAnswer: -5.094313514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, -4 in increasing order.\nAnswer: -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512.418ml in litres?\nAnswer: 1.512418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*l - 539*l + 20 = 0. Solve q - 19 = -5*c - 36, -l*q + 2 = -4*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -3 - (25 - 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 5*r + 5. Let m be z(5). Suppose -50 = -m*s + 5*y, 5*y + 0 = 5. Solve 0 = -4*f + 12, -2*f + 3*f - s = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllrlllrlllolorlllrr. What is prob of picking 2 l?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 7*f + 4, -5*h + 466246 = -4*f. Let l = -94227 + 33381. Let t = l + h. What is t rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 108\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - (sqrt(133) - 3*sqrt(133)*3)) - sqrt(133))\/((sqrt(343)*-5 - sqrt(7)) + sqrt(7)).\nAnswer: 9*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -5*c**3\/2 + 7*c**2\/2 - 2*c + 387. Let r(m) = 44*m - 20. Calculate -17*j(d) - 6*r(d).\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1197 + 1196.7926. Let d = b + -146.8926. What is d rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -325.8 - -1468.1. What is x rounded to the nearest 10?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 744551825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 2*l - 7. Suppose 2*f - 18 = -4*t + 4*f, -4*t + f = -23. What are the prime factors of g(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 19*s**2 + 51*s + 878. What is u(23)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*a + 2, 4*d + 2*a - 11 = -5. Solve -d*l = -l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 + 2704*s**3 + 2696*s**2 - 2704*s - 2700 = 0. Calculate s.\nAnswer: -675, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 343 = 1303. Calculate the remainder when y is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by 786\nAnswer: -154\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142*-0.02.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67146)\/(-1444)*(-7)\/((-42)\/4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3917\nAnswer: -3917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*i**3 - 47*g*i**2 + 3349*g*i + 16*i**4 wrt i.\nAnswer: -6*g*i - 94*g + 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13931, -13939, -13947?\n\"Answer: -8*d - 13923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 2*a**2 - 3*a - 3. Let c be b(-2). Suppose -c*p + 15 = 3. Solve p*r - r - 3 = 3*w, -4*r + 22 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 41*m**2. Let o(u) = -u - 1. Suppose 0 = 9*h + 2*h + 11. Let l(c) = -2*c - 4. Let s(k) = h*l(k) + 4*o(k). What is z(s(t))?\nAnswer: 164*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 1 in descending order.\nAnswer: 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*z - 29875 = 0, 0 = -3*y + 2*z - 0*z + 89710. What is y rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 28, 33, 40, 49, 60, 73?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2533 + -2592 - (2 + -28)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 + 2*q + 2. Let d = 9 + -6. Suppose -h = d*h. Suppose 0 = -3*l - h*l + 9. Calculate s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.5 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92936)\/(-12534743)*(-13)\/4?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/5500)\/(2\/30).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1799121991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 233 = 5*t, 3*t + 141 = 3*x - 0*x. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1042*n + 1. Let o(z) = -6*z**2. What is h(o(a))?\nAnswer: -6252*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166*q**5 - 23771*q**4 + 13801182*q**2 wrt q?\nAnswer: -9960*q**2 - 570504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 1 = x, 12*n - 15*n - 3 = 3*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 72, 466, 1468, 3378, 6496, 11122, 17556?\n\"Answer: 50*v**3 + 4*v**2 + 32*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39453043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 3*n + 3*n)*(-2 - n + 8*n - 2*n).\nAnswer: 10*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-187 + 1052 + 1309)*(-2*b + 2*b - b) in the form a + g*b and give g.\nAnswer: -2174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 5*w + 2. Let m be c(-5). Suppose 0 = -p - m*f + 43, f - 3*f = 4*p - 148. Let d = 29 - 15. Calculate the greatest common divisor of d and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/6 + 2*p. Let r be -2*35\/14 - 1*-2. Let h(n) = -n. Let a(z) = r*h(z) + 2*x(z). Let f(c) = -c. Calculate a(f(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 6411, -2\/5, 2\/5, 4, -0.02, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 + 3*f**2\/2 + 3*f - 1. Suppose -2*l - 6 = 3*v, -v + 5*v + 8 = -4*l. What is h(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 454 + -179. Let u = 16 + -11. Suppose 0*j - u*j = -q. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 m when four letters picked without replacement from {m: 13, y: 2, d: 1, i: 2, s: 2}?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 13. Let v be 2\/2 - (-3 - 4). Does 3 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/144 + (-135170)\/(-56) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*b = -147, -b = 10*m + 1859 - 2126. Let l(s) = 53*s - 1. What is the lowest common multiple of l(2) and m?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g + 29 = -3*a, 26 = 4*g - 2*a. Suppose -g*j + 62 = k, 0*j + 4*k = j - 4. Let f = j - 7. Solve f*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-873)\/(-45) - (-126)\/(-90). Solve -2*m - l = 3*t - 10, 4*m = t - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 4fae28?\nAnswer: -4fae2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 829 - 825. Suppose -18 = 4*h - 7*h. Let x(k) = -k**3 + 6*k**2 + k + 1. What is the smallest common multiple of x(h) and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.3, 0.5, 28\/17?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let m(x) = -x**3 - 3*x**2 + 2*x. Let q be m(-5). Let z be q\/(-35)*(-1)\/(-4). Which is greater: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/20474880 and 59\/108.\nAnswer: 184273920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22170 - -22170.5. Put d, -11\/70, 1 in decreasing order.\nAnswer: 1, d, -11\/70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -22, -1\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*j = 2*l + 94, 0 = -3*j - 6. What is the remainder when l is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2042 + 2048. Let v(z) = -z**3 + 2*z**2 + 23*z + 1. Give v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + -1*((-84)\/6 + 6). Which is the nearest to h? (a) -0.1 (b) -0.3 (c) 0.2 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*x + 60711 = 40215 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = s - z + 3*z, 5*z - 24 = -3*s. Suppose 3*b = m - 0*m + 331, -2*b - s*m = -228. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 12) to base 15.\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26827684.\nAnswer: 2, 13, 515917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (sqrt(162) - (-5*sqrt(162) + 0 + sqrt(162)) - (sqrt(162) - (sqrt(162) + -1)*4)) + 4)*-6)**2.\nAnswer: -20736*sqrt(2) + 1493136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.31, -47\/1009, 1?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 17*y**2 - 35*y - 22. Give d(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13))**(-3\/10)\/(u**(1\/4))**(-19) assuming u is positive.\nAnswer: u**(1247\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 48.\nAnswer: -29\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 2*g, -g + 6 = -0*g + 2*r. Let a = -1533 + 2370. Let c = a - 835. Solve 2*m - 4 = g, -w + 19 = -6*w + c*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 3*q + 1. Let p be n(-2). Suppose -22*j + p*j = -14. Suppose -j*y - 6 = -5*z + 8*z, 5*y + 15 = -z. Solve z = -12*v + 15*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349887315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p**2 + 4*p**2 + 0*p**2 + 2*p**2 + 39 - 39 + 4 - p**2 - 4 + 2 - 4*p**2 - 2 + (5*p**2 - 2*p**2 - p**2)*(0 + 1 - 3) as r + o*p + z*p**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-130))\/((-124)\/12 - 105\/63)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*c - 773 - 4099 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 14. Let y be p(11). Suppose 5*i + 2*f + 6 = 0, -7*i + 6 = -y*i - 2*f. Solve 4*z = -i*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414639665 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6))**(2\/31) assuming j is positive.\nAnswer: j**(-1\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-8)*(-146)\/219?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 33339 = -3*g, -50*c = -48*c - 2. What are the prime factors of g?\nAnswer: 2, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 + -1221?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116781071 or 116781076?\nAnswer: 116781071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 72203, 144411, 216619, 288827, 361035?\n\"Answer: 72208*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 5*d**3\/3 + 35*d**2 + 541. Factor n(h).\nAnswer: 5*h*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 375 = 81*v + 489 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.4 - 24.4. Let k be (-3)\/6 + 1\/14. Sort 5, k, n in decreasing order.\nAnswer: 5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.1261883*-0.3\nAnswer: -3.33785649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 + 8 = 0. Let g be (z\/(-1))\/(-3 + 2). Let l be (g\/12)\/(1\/(-3)). Solve -2*x + l = m - 3*x, -2*m = 5*x - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.76, -0.4?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474\/11 - 43. Suppose 0*m + 5*m = 15. Let p be ((-22)\/33)\/((-1)\/m). What is the second smallest value in p, -2\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - 3*t**4 + 2*t**3)*(3*t + 0*t - 2*t + (2*t - t + t)*(0 - 3 + 4) - t + 0*t + 3*t + t + 5*t - 4*t + t - 1 + 1 - 13*t - 13 + 13).\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 36. Put f, 49, -3, 0.5 in decreasing order.\nAnswer: 49, f, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/240 - 13*r**4\/96 + 5*r**2 - 3. Factor x(g).\nAnswer: -g*(g + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 280250*d**3 + 4808*d + 13.\nAnswer: 1681500*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.827232 micrograms?\nAnswer: 5827.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -0.3 (c) 0.4 (d) 2755 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 19*j - 9603. Give a(-89).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*w + 2*w**2 - 20*w + 429*w.\nAnswer: 2*w**2 + 481*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55043 - 4408 = 44*j - 42865. Calculate the highest common factor of j and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-396)*(-4)\/(-3)*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 125*b**3 + 349572675*b**2 + 139829055*b + 13982905 = 0.\nAnswer: -2796581, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 8*s - 3. Let y be l(-6). Suppose v = 1 + y. Let d = v - -2. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237 and 19.\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*o - 47*o + 216 = 0. Let q = -56 - o. What is the remainder when 56 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35265 is divided by 76.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*z + 12, a - 37 + 10 = -5*z. Suppose -h + 13 - 151 = -4*x, a*h = -x + 30. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 172095703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 277254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*z = -3928, 3*p + 4*z - 3219 - 677 = 0. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 93 (c) 5 (d) -0.4 (e) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 18, 26?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3131.8 - 3132. What is the nearest to 0.2 in 3\/4, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -19*p**4\/24 + p**3\/6 + 119*p**2. Let u(z) = 3*z. Let j(k) = -4*k. Let o(t) = -6*j(t) - 5*u(t). Determine 2*c(w) + 5*o(w).\nAnswer: 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2591)\/38865*(-66)\/(-1)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m + m)*(-5*m**2 + 0*m**2 + 106*m**4 - 140*m**4).\nAnswer: -68*m**5 - 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55516194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200867736.\nAnswer: 2, 3, 8369489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0*s**2 + 0 + 0*s**3 - s - 1\/12*s**4. Let y(r) = 5*r. Calculate m(y(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -1256*g + 1255*g + 180, -4*m + 8*g = 180 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 228, 1256, 2 in descending order.\nAnswer: 1256, 228, 14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqqttqqtiqtqiqijq. What is prob of sequence qitq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a12 (base 13) in base 15?\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**3\/5 - 51*b**2\/5 - 54*b\/5.\nAnswer: -b*(b + 6)*(7*b + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*x + 492 = 7*z, -372 = -3*z + 4*x. Suppose 337*f - 329*f = z. Solve 0 = -4*u + f - 23 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*h = -36, -6 - 22 = -2*r + 4*h. Suppose 18 = r*c - 2*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -36*(-70)\/(-16)*18\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/48192 and 7\/45912.\nAnswer: 92191296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 5*r**3\/6 + 5*r**2\/2 - 2*r. Let t be q(-6). Let z = 6 - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 45.7. Let i = z - -4.93. Let o = 0.03 - i. Which is the closest to 0.1? (a) 1\/7 (b) o (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c + 73*c - 474*c - 132*c to the form t*c + w and give t.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(120)*-1)\/(sqrt(55)\/(sqrt(11) + -2*sqrt(11))))\/((4*(sqrt(96) - (sqrt(96)*-3 - sqrt(96))))\/sqrt(12)*6).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 695 - -1541. Suppose 5*x - 4*r = x + a, -5*r = 2*x - 1104. List the prime factors of x.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 + 11700*x**3 - 2791292*x**2 + 26851500*x - 24071904 = 0. What is x?\nAnswer: 1, 9, 251, 2664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/10, -1, -966 in increasing order.\nAnswer: -966, -1, 1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 528077374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*z - 82*z = -31 + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:19 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzn when three letters picked without replacement from nzzfzzznnxzzn.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23466586?\nAnswer: 2, 11, 13, 82051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:27 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.08 (b) 23\/3 (c) 2 (d) 5\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 3*(sqrt(114) + sqrt(114)*-2) + sqrt(114) - (sqrt(114) - 2*-1*sqrt(114)))\/(((2*sqrt(120) - sqrt(120))\/sqrt(5))\/(sqrt(4)*-2*-1)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 3, n: 13}. Give prob of sequence ip.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 735 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n = 62*n + 3*x - 9, 0 = 2*n + 4*x - 8. Let p be ((-180)\/(-5))\/6 + -5. Solve 0 = 3*l + s - 14, n*s - p = 4*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 3*s**2 - s - 9. Let t be u(4). Let y = -44 - t. Does 11 divide ((-5)\/y)\/(3\/495)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) -2\/23 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*12\/(-112)*24\/18\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 4*i**2 + 13*i + 22. Calculate r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 89616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 16) to base 5.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(77) - (sqrt(77) - (sqrt(77)*-1 + sqrt(77) + sqrt(77) + sqrt(77)))))\/sqrt(11) - (sqrt(63) + sqrt(315)\/sqrt(245))**2) + -4.\nAnswer: -604\/7 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - -0.1257?\nAnswer: 0.7257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-8)\/48). Solve 0 + 8 = -a*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 344.838523.\nAnswer: -344.838523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*r - 5*n - 390, 0 = -5*r + n + 477. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 42*a**2 - 717*a + 51. Let d be t(17). Let p = 71 - 43. Let u = p + -19. Sort u, d, -5.\nAnswer: -5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312345632 and 16?\nAnswer: 312345632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-3) - (-3 + 0). What is the nearest to 0 in 1\/4, 2\/3, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 11 - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396718513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -25*g + 2. Let w(t) = -2*t - 9. Let y be w(-5). Let f be b(y). Let c = f + 120. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 divided by 67?\nAnswer: -260\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + -1341521?\nAnswer: -1342020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.819 - 16.819. Which is the second biggest value? (a) -2\/43 (b) 0.21 (c) 2\/3 (d) n (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-122)\/(-3))\/(22\/297)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p**(-1)\/p))*p*p)\/p)\/p*p**(1\/16))\/((p\/(p\/(p\/((p*p\/(p\/p**(-1))*p)\/p))*p))\/((p*p*p**(-10))\/p)) assuming p is positive.\nAnswer: p**(-175\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.8, -2\/9, 3\/8, 0.1 in decreasing order.\nAnswer: 12.8, 3\/8, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670*o - 305 + 305 + 325*o + 332*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1017\/(-27120)*48\/(-18)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbxxbbbxbxb. Give prob of picking 1 b and 2 x.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 828*l**4 - 838*l**4 + 9*l**3 - l**3 - 6*l**4 + 3*l**4 + 4*l**4 + (0*l + 4*l - 5*l)*(2 - 2 - 3*l**3).\nAnswer: -6*l**4 + 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 209*v + 1303*v**2 - 68*v - 75*v - 66*v in the form y*v + z + i*v**2 and give i.\nAnswer: 1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 + -133. Suppose 0 = 6*r - 18 - 18. Let d(w) = 12*w - 12. Let p be d(r). What is the greatest common factor of p and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 19*t**2 + 2*t + 3. Let j be y(-9). Suppose j*z + 6 = 69*z. Suppose -z*i + 38 = u, 83 = -5*i + 3*u + 200. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + 111. Let c be (94\/(-6))\/(-3 - 16\/q). Which is smaller: c or 48?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2796)\/(-27))\/(-4) + -115 + 141?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(847) + (sqrt(847) - (((sqrt(847)*-3 + sqrt(847))**2 - sqrt(847)) + sqrt(847))) + -5.\nAnswer: -3395 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 1.6. Suppose -x + 197*b - 193*b = 16, -3*x - b = 9. Suppose -q = 6*l - l - 17, -5*l = -15. Sort x, q, m in ascending order.\nAnswer: x, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -4*d + 2254 - 2115, d - 62 = -d + 4*l for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + -4*((2*(sqrt(605) - (sqrt(605) + 1)))**2 - (sqrt(30)\/(sqrt(66)\/(sqrt(22)\/sqrt(2))))**2) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 8. Let m(l) = -28*l + 26. Let x(q) = -9*b(q) + m(q). Give x(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4 + j**2 - 7*j - j**2 + 5*j**2. Let y(q) = -2*q**2 + 3*q - 2. Let d(k) = 3*c(k) + 7*y(k). Find the first derivative of d(u) wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 2 - 4*l + 4*l + 1 - 8. Let n be f(2). Which is the third biggest value? (a) 21 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**2 - 1736*n + 1156 = 0.\nAnswer: 2\/3, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2. Let b(c) = c**2 - 21*c + 10. What is b(h(z))?\nAnswer: 9*z**4 - 63*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 31. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 751898747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44.1 - 44. Let m = 3.415 - 3.915. What is the biggest value in m, -0.3, 95, o?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2 + 6 + (3 + 0 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + r + 4*r - 5 = 0, -2*k = -5*r - 20. Suppose -k*f + 4*c + 4 - 6 = 0, 5*f = 5*c - 5. Let g = 4268 - 4272. Put f, 1, g in decreasing order.\nAnswer: f, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 - (11 - (12 + -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 58 - 66. Solve 7 = -2*r - 3*i, 5*i = y*r - r - 37 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4166 take away 174?\nAnswer: -4340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-11 - -18))\/(-4).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 70034.61 decades?\nAnswer: 7003.461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcq when three letters picked without replacement from {x: 4, c: 1, b: 1, y: 3, f: 4, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a + a - 2*a + 6*a - 1. Give c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - m - 224 + 240 = 0, 555 = 3*n + 15*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 234*m\/5.\nAnswer: 2*m*(m + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 11. Let q(n) = n - 5. Let w be q(l). Let i(z) = -2*z**2 + 2*z**3 + w*z**2 + 2 - z - 3*z**2 - z**3. Give i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-57) - 4\/6. Which is the nearest to -1? (a) 5 (b) l (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -276ad + -18?\nAnswer: -276c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -70, -91, -100, -91, -58, 5, 104?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63226 - 41166. Let m = -12160 + t. Round m to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/96)\/(4\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (112\/(-45864))\/((-2)\/(-528)). Let d = 203 - 18475\/91. Let y = d + k. Which is the closest to y? (a) 0.2 (b) 0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3068359578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q - 3. Suppose -q*l + 6 = -2. Suppose l*b + 10 = 7*b. Solve -h + 2 = -1, -3 = u - b*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1109*k - 16368 = -641*k - 809*k for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 12118922 + 5*b - 8*b.\nAnswer: -3*b + 12118922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i. Let w be y(-2). Let x = -5 - -11. Let s = w + x. Which is the closest to -0.2? (a) 4 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -307*j**5 - 366*j**3 + 2*j + 2080850 wrt j?\nAnswer: -6140*j**3 - 2196*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**23\/(a**(-2\/77)\/a*a)*(a*a\/(a\/(a**(-2\/17)*a)))**24)**(-4\/3) assuming a is positive.\nAnswer: a**(-119036\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 6 = 30*x. Suppose 5*q - x - 7 = 0. Suppose -4*k + 26 = 2*z, -q*k + 13 + 15 = 4*z. Let r(g) = g**3 - 3*g**2 - 6*g + 5. Determine r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyynyqyzqq. What is prob of picking 1 z and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 - 8*v + 3. Let j be r(8). Let d(l) = -10*l**2 + 0*l**3 - 6 - 11*l + 2*l**j - l**3 + 4*l**2. List the prime factors of d(8).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5017793, 5017748, 5017629, 5017400, 5017025, 5016468?\nAnswer: 5015693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.36 or -0.165?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 29 + ((-9)\/3 - 1). What is the highest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = -2*o - 5*z, -3*o + 3 = -3*z. Let s be (4\/(-14))\/(o\/(-14)). What is the units digit of 119\/7 + s\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -286, -426, -566, -706, -846?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -5) + 39 + (50 - -3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/98, 5, 0.4?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62 in 73582, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s - 18. Let a be (-209)\/s + (-24)\/108. Let i = -12 - a. What is the second biggest value in -6, i, 2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/19 + 152998*j**3\/19 - 4129824*j**2\/19 + 25694200*j\/19 + 29977024\/19 = 0. Calculate j.\nAnswer: -1, 14, 76472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 29407*g - 317. List the prime factors of z(3).\nAnswer: 2, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132 - 129 - (0 - (-19 + -2))) + -9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/111, -2\/15, 1\/8 in descending order.\nAnswer: 1\/8, -10\/111, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.0759\nAnswer: -0.3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045376599 rounded to six dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*z**3 - 3*z**3 + z**3)*(-2 + 1 - 1) + 2*z - 3*z - 2 + 1545*z**3 + 4*z**2 - 1547*z**3.\nAnswer: 46*z**3 + 4*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 7. Let s be y(8). Let l be 3 + 42\/30 - (-2)\/(-5). Put -18, l, s in ascending order.\nAnswer: -18, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 13*i**2 + 23*i + 11. Let l be r(5). Let j be 4574\/90 + 2\/(-9). Let a = l - j. Is 1 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqp when three letters picked without replacement from uppipqkkpp.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 19*a + 72. Let s(w) = w. Calculate g(s(b)).\nAnswer: b**2 - 19*b + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -637. Suppose 9*a - p = 3*a. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-71)\/(-781) - 6480\/11. Let t = n - -998. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*r - 26 = 120*r - 2*s, r - 8*s = 16 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 931246?\nAnswer: -931241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.959 + 19.8. Let g = 80.159 + w. Are -1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -21*n**4\/4 - 2481*n**3\/4 - 94599*n**2\/4 - 1171851*n\/4 - 304842 = 0?\nAnswer: -47, -23, -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 129 and 360401\/2800 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, -123, 2\/17, -3, 6, 0, 16?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 2*q = 11*q - 360 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {b: 9, r: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - -29. What is the greatest common divisor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u - 18916 - 3356 = 0. Calculate the lowest common multiple of u and 290.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + -0.2. Let p = -4.81 - -0.8. Let q = z - p. Which is the nearest to 0.2? (a) 1 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68938, -137876, -206814, -275752?\nAnswer: -344690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 181 = 5*y - 9*y, -2*y - 116*v + 282 = -220 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-2))\/((-343)\/686)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230 by 2.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*k + 120*k = 385. Let u be 10\/k + (-93)\/(-33). Solve 5*r + 19 = -3*q, -2 - 3 = -2*r + u*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5530*w + 49812. Give y(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19092523?\nAnswer: 19092523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 2*t**2 - t + 1. Suppose 0*d + 4*o = -5*d - 27, 3*d - 2*o = -3. Calculate x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 275?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*u = 8*d - 8, -5*u - 32 = -2*d. Suppose -d*i + i + 30 = 0. Suppose -130 = m - i*m. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/4)\/((-2)\/8). Let k be (6\/9)\/((-6)\/t). Solve z + 2 = k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 402*r - 6905 - 581 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + 18\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -662 or -658?\nAnswer: -658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pllhkxk. What is prob of picking 1 x, 1 h, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49926150 is divided by 1338.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 628903 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 143957949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6486 and 35\/4.\nAnswer: 12972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5472, 11012, 16552?\nAnswer: 22092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7838 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2166 and 12?\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -456*m - 81. Is c(-2) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001307 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-288)*(2 + 1)\/(216\/(-192)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 83531.79mg?\nAnswer: 83531790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*a + 5 = -2*a, -3 = t + 4*a. Is 1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4*m - 100*g**4 + 22*g**3*m + g**3 + 30*g**2*m + 2*g**2 + 10*m wrt g?\nAnswer: 24*g*m - 2400*g + 132*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 15*w + l = 6, 0 = -3*w - 2*l + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 446003?\nAnswer: 445666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:23 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276484 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 30721184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) - (100\/(-12))\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94633886.\nAnswer: 2, 31, 367, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3067, -6104, -9145, -12184, -15215, -18232, -21229, -24200?\nAnswer: -27139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, -16, 24, 80?\n\"Answer: 8*o**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 f when four letters picked without replacement from {h: 5, f: 9}?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m**2. Let q(x) = -5*x + 3*x + 24*x - 53*x. Give q(l(g)).\nAnswer: -310*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 7*u**2)*(2 - 1 + 1 + 1 - 4 + 2 + (-6 - 3 + 3)*(3 - 1 - 1)) in the form d*u + j*u**2 + y and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42114 = -45*j + 48*j. What are the prime factors of j?\nAnswer: 2, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 718\/(-90) - 8\/36 and -75\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3042.1 + 2912. Let i = 130 + y. Which is the fourth smallest value? (a) 1\/4 (b) 1\/6 (c) -1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 23*p + 310 = 0. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-11) + 175\/1155 - (-38063)\/2397. Is c >= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(9\/5))**21)**(-23\/2))**12 assuming s is positive.\nAnswer: s**(-26082\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3400 by -7.\nAnswer: -3400\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648 + 648 - 5471901*n.\nAnswer: -5471901*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*u - u. Let r(l) be the second derivative of -1\/10*l**5 + u*l**4 - 3\/2*l**2 + 0*l**3 + l + 0. Differentiate r(a) wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from fffvffvvffffffff.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/5 - 92612*l**3\/5 + 3613896*l**2\/5 - 46989436*l\/5 + 40727986 = 0. What is l?\nAnswer: -46345, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 3. What is c(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -5*x**4\/102 + 14*x**3\/51 + 105*x. Factor g(y).\nAnswer: -2*y*(5*y - 14)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9509, 0.1, 0, 1 in ascending order.\nAnswer: -1.9509, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 4 = 5*s, -s = -2*p + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (((-21)\/15)\/((-21)\/(-175)) - -5).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25116977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3283, 3280, 3277, 3274, 3271, 3268?\n\"Answer: -3*a + 3286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6435318 to the power of 1\/2, to the nearest integer?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6662924.\nAnswer: 2, 29, 71, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1304\/274103 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21886 and 10?\nAnswer: 109430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15451 is divided by 184?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -1 (c) 3 (d) -0.2 (e) -0.13 (f) -4 (g) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 130 = 3*i. Suppose 5*w + i = 5*b, -59 = -5*b + w + 2*w. Calculate the lowest common multiple of 6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 15*w + 1. Let n be v(1). Let o(u) = 2*u**2 + 12*u - 33. Let c be o(-8). Let h = c + n. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2*r**3\/3 - 1. Let t(o) = 51 + 3*o**2 - 51 - 5*o**2. Calculate t(a(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151177 and 674482?\nAnswer: 8768266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 103950.\nAnswer: 103950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50e89e7 + 6?\nAnswer: 50e89ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 13*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n\/(n\/((n\/(n*n*n*n**(-28)))\/n))*n)*n*n*n**(-2\/57)*n)**(-1\/55) assuming n is positive.\nAnswer: n**(1142\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, 11, 0.6, -0.0527, 0.8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76917.\nAnswer: 3, 25639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (1 - 0 - 1). What is the closest to -1 in -1, -2\/9, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/11 - 776694*y\/11 + 24079436\/11 = 0.\nAnswer: -388378, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:32 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3079*q = -3082*q - 6, -2*q - q = 3*g + 153 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) 0.2 (d) -0.3197 (e) 0 (f) -419\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 920 and 74040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 88*q**2 + 204*q - 78. What is the units digit of u(-41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.2 (b) -2\/15 (c) 4\/183 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 16*a - 17. Let d be v(6). Which is smaller: 9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 1086, 1635, 2190, 2751, 3318, 3891?\nAnswer: 4470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from rrorxrrrr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33.7, -4, 2\/13, 2 in increasing order.\nAnswer: -4, 2\/13, 2, 33.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 402\/(-51)*(-2)\/4. Let n = f - 891\/170. Calculate the common denominator of (261\/(-14))\/3 - 0 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 2, j: 2, m: 13, b: 2}. What is prob of picking 2 m and 1 b?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + -25. Let l = 268\/7 + c. Are l and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-435)\/(-87)*(-3)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-3 + (-1)\/(-2))*4*-4 and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1312, 0, -2 in ascending order.\nAnswer: -1312, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2431684, 2431422, 2431162, 2430904?\nAnswer: 2430648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3534566227 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m + 4. Let g be y(-5). Let w = g + 8. Factor -4 + 2*h + 2*h**3 + 4*h**w + 4.\nAnswer: 2*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15584 or 15585?\nAnswer: 15584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 446, 666, 884, 1100?\nAnswer: 1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -3902.\nAnswer: 23412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.144 - -3.936. Let m = v - 0.08. Sort -0.1, m, 1 in decreasing order.\nAnswer: m, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3\/38 (c) 204 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/20*2*(4 + -2). Let d be x\/(12\/(-5)) - (-57)\/76. Solve -6 = -2*o - d*j, 4 = -2*j - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**5 + 26*r**4 + 24*r**3 - 124*r**2 - 196*r - 78 = 0.\nAnswer: -1, 3, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3593 - -1.9?\nAnswer: 4.2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -1, -8, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1489 - -1693. What is the least common multiple of k and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*l + 6 = -s, -2*l + 10 = 5*s. Solve -s*i + 3 = -5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000160965 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (0 + sqrt(700))*-4 + sqrt(700) + (sqrt(700) + 1)*-6 - -6*(sqrt(700) + ((-1 + sqrt(700))*-1 - sqrt(700))))**2.\nAnswer: 137200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484233783?\nAnswer: 3, 11, 14673751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*f + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**3 - 232480*u**2 - 3365579252*u + 359368310056 = 0. Calculate u.\nAnswer: -29113, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18071, -36127, -54167, -72191, -90199?\nAnswer: -108191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2754164536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 10. Let h = 51 + -55. Let z(j) = 2*j - 11. Let i(v) = h*o(v) + 3*z(v). Give i(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-1)\/(-27))\/((-2)\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -5 (c) 4 (d) 2\/825 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*a - 11*b + 15 = -374*a, a + 3 = 3*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195 + 181.7. Let p = 15 + d. Let b = p + -1.70072. What is b rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {r: 1, j: 1, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15202?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -844*o + 71. Is i(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 + 405\/30)*(-8432)\/3 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 4 - 2*m**2 - 5 - 19*m + 15*m. What is the derivative of a(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4668)\/(-24)*(-2)\/(-2). Let p = l - 195. Calculate the common denominator of -37\/2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3829535 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/3 + 2. Let y = 35 + -38. Let g be (-2)\/(-14) - (-6)\/(-21). Which is the closest to 2? (a) g (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -423, -745, -1075, -1413, -1759, -2113?\n\"Answer: -4*m**2 - 310*m - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1340032560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) 5\/6 (d) -0.063 (e) 2\/417\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-55)\/(-35) + (-3 - 0)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13 = -4*v + 3*w, 5*v + 4*w = 6. Factor -v*a**2 + 3*a**2 + 0*a**2 - 1.\nAnswer: (a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 65520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 20*u + 83. Calculate the remainder when 68 is divided by h(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 665*y**4 - 2330*y**3 - 9260*y**2 - 4120*y - 480 = 0. What is y?\nAnswer: -2, -2\/7, -4\/19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 481823.9 (b) -4 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -75. Calculate the lowest common multiple of g and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*k**5 + (-k**4 + k**4 - 2*k**5)*(-1 + 1 + 2) - k**2 + k**2 + 2*k**5 + 13*k**5 + 29 - 29.\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 96 - 24. What is the highest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*d - 1267*d + 726*d + 157.\nAnswer: -2*d + 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -158*d - 163*d + 317*d. Let y(l) = 19*l**2 - 6*l - 6. Let w(u) = 37*u**2 - 11*u - 11. Let a(k) = 6*w(k) - 11*y(k). Give b(a(g)).\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 15. Let p be 1\/3 + (-57)\/(-27). Let r = p - 16\/9. Put r, i, 0.1 in descending order.\nAnswer: i, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*4\/(4 - 0). Suppose -c - 2*p + 6 = -6*c, -y*p = c - 9. What is the first derivative of -3*m**3 + c - 8*m**3 + 1 wrt m?\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 + 27*b**2 + 21*b + 16. Let x be w(-6). What is the nearest to x in -2, -0.3, -7, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 - 86*i + 143. Let z be u(-23). Solve -5 = -5*t - 29*v + 24*v, 0 = z*t + 3*v - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**8\/224 - l**7\/35 + 3*l**6\/80 + l**5\/10 - l**4\/4 + 3*l**2. What is x in d(x) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/10 and 13\/698.\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**6\/180 - b**5\/120 + b**3\/6 - 2*b. Let j(f) be the second derivative of y(f). What is the second derivative of j(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 19314937?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10954449 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -62522173 to the nearest one hundred thousand.\nAnswer: -62500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/7 - 410*c**4 - 11506*c**3\/7 - 8642*c**2\/7 + 11504*c\/7 + 11512\/7 = 0.\nAnswer: -2, -1, 1, 1439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 3*l**5 - l**5 + 3*l**5 + 2 + (-7*l**4 - 2*l**4 - l**4)*(-16*l - 31 + 31) - 3*l**5 - 5*l**5 - 9*l**5.\nAnswer: 142*l**5 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 1 + 1)\/(1\/(-15)). Calculate the highest common divisor of 705 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q + 21. Let v be c(6). Let k(r) = r + 6. Let w be k(v). Calculate the common denominator of (-27)\/90*1\/w and 35\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3\/11 - 13386*g**2\/11 - 187796*g\/11 = 0.\nAnswer: -14, 0, 6707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -773, -0.049, -24, -3.3 in decreasing order.\nAnswer: -0.049, -3.3, -24, -773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -629333*a**3 + 197946 wrt a?\nAnswer: -1887999*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1708 and 17948?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 29\/3)*15\/10. Factor n*d + 2*d - 16*d**2 - 41*d**3 + 17*d + 39*d**3 - 20.\nAnswer: -2*(d - 1)**2*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54446 - -101857. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {r: 3, c: 2, m: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.098 less than or equal to -1.30929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349624 is divided by 1329.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 4, 6, 8, 10?\n\"Answer: 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Let o be (0 - -1) + m - 3. Do o and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -15, -3 = -4*v - i + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537886862.\nAnswer: 2, 3, 571, 149629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*5075.1.\nAnswer: -213154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + g = 4*x - 89, 2*x - 173 = g. Let i be (-2)\/(-3) + x\/(-18). Sort i, -2, -3 in decreasing order.\nAnswer: -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15651437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1006 divide 68956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 6. Suppose 0 = -c - 1 + 5. Suppose 0 = -z + 8 - 3. Suppose 0 = -z*h - 4 - 21. Let l(p) = -2*p + 5. What is c*i(t) + h*l(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g**2 - 2*g - 2. Calculate d(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q + 3*p - 30 = 0, q = -p + 8. Suppose w + w = -3*u - 2, 5*w - 37 = q*u. Let f = w - 3. Solve 4*x + f = -h + 3*h, 5*h - 12 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/83874 and -26\/23?\nAnswer: 1929102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*sqrt(51)\/sqrt(3) - (sqrt(17) + 0 + (sqrt(272))**2 + sqrt(17))).\nAnswer: -1360 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*i = -0*n + 16, 8 = 2*n - 5*i. Suppose 3*t + n*l - 6 = 0, l - 15 = -2*t + 2*l. Solve -15 = d - t*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3156721, -3156735, -3156747, -3156757, -3156765, -3156771, -3156775?\n\"Answer: o**2 - 17*o - 3156705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbbbbbbbubb. What is prob of picking 3 b and 1 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360*128.\nAnswer: -46080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -44 + 54 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12089 - 18921 = -374*y + 6071 - 5291 for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26812 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19931 is divided by 9950?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4487 - 1723. List the prime factors of u.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**6\/140 + j**5\/210 - 5*j**3\/3 - 8*j. Let s(u) be the second derivative of x(u). Solve s(m) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - sqrt(110)*1) + sqrt(110))*-4 + 1*(sqrt(110) - (sqrt(110) + sqrt(110)*-1)))\/(sqrt(70)\/(2*(sqrt(7) + sqrt(28)\/sqrt(4) + sqrt(7)))) + 3.\nAnswer: -18*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4 - -1) + 5 + (-44 - -77)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*((-319982)\/4774 - -67)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-5) - 13)*(-41)\/2. Suppose -5*w + 2*t = -1079, u = w - 4*t + 9*t. What are the prime factors of w?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/114)\/((-416)\/(-3952))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1235 + 5312?\nAnswer: 6550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*o - 175, -5*h + 0*o = -3*o + 260. Let p = h + 90. Calculate the greatest common factor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 1313*s - 1317*s - 18, -2*t - 2*s - 18 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*k**5\/17 - 514*k**4\/17 + 1786*k**3\/17 - 2134*k**2\/17 + 1036*k\/17 - 160\/17 = 0. Calculate k.\nAnswer: -40, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 3, k: 3}. What is prob of picking 1 j and 1 k?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 0) + -13 - (-1 - -3). Which is the nearest to l? (a) -0.79 (b) -0.3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = n. Let t = -542 - -542. Put t, 4, 5, n in descending order.\nAnswer: 5, 4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {t: 10, x: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 19*q - 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.7, 0.3, -0.07, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*o = 7, 4*o = o + 3. Suppose u*g + 7 = 111. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00670298937 to 4 decimal places.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:17 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*u - 3*l + 6, 2*u = -4*l - 26. Let p be (5095\/1020 + u)\/(1\/(-5546)). Let y = -16\/51 - p. Find the common denominator of y and -151\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2199 or 2200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871.316 millennia in years?\nAnswer: 1871316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136, 4548, 10236, 18200, 28440, 40956, 55748?\nAnswer: 72816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/221*(-13)\/39?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 224971974. Let j(r) = 3*r. Give j(m(q)).\nAnswer: 6*q + 674915922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 17. Differentiate -16 + 11*d**3 + 8*d**2 - 3*d**b - 8*d**2 wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 46560\nAnswer: -186240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 3, -3, -15, -33?\n\"Answer: -3*g**2 + 9*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, -4*j + 3*j + 3 = u. Suppose 12 = 4*t, 4*t + 14 = -z + u*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/2*(-25)\/4. Suppose q = m + 4*m. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3992, 3962, 3892, 3782, 3632?\nAnswer: 3442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 10*w**2 + 1 - 5.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 380833543*c**3 - 564889030 with respect to c.\nAnswer: 1142500629*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101323548 and 1458?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/230 and 107\/50.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1239*g**4 - 2*g**3 + 619*g?\nAnswer: -14868*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7814029.\nAnswer: 97, 80557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*o**2 - 4*o - 2*o**2 + 4*o as m + k*o**2 + w*o and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**2 + 279*y - 279*y + (3*y - 2*y + 0*y)*(y - y + 2*y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9223605 and 675?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -182*r**2 + 0 - 264*r - 2\/3*r**4 - 100\/3*r**3 = 0.\nAnswer: -44, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3480*c**3 + 5220*c + 1740. Let a(y) = y**3 + 3*y + 1. What is -1740*a(m) + d(m)?\nAnswer: 1740*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 120\/13? (a) 3\/5 (b) -0.5 (c) -3 (d) 26 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 4*l**2 - 6*l. Let s be a(-5). Suppose 314*n = 319*n - 10. Solve -3*b - k + 3 = -n, -s*b = -k - 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.9 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -217834.203 rounded to the nearest 1000?\nAnswer: -218000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 274087 to the power of 1\/2, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -69, -70, -71, -72?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50*0.5479923\nAnswer: -27.399615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (154 - 309 - 519 + 11)*(0 + 1 + 9 + 2 + 3 - 3 + 2 - 2 + 2 + (-3 + 6 - 2)*(1 - 4 + 2))*(-3 + 3 - 2*a) in the form o + j*a and give j.\nAnswer: 17238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 12*r + 4*r)*(r + 1 - 1).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 - 16 = 0. Let b be ((-2)\/l)\/(1\/15). Suppose -6*d = -10*d - 5*h + 37, 2*d = -2*h + 16. Solve 5*o = 3*z - 3, d*o + 3*z = 6*z - b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 8*k**2 + 10*k - 7. Let y be o(-6). Find the second derivative of 19*l**5 - 5 - 3*l + 0 + 10 + 9*l**y wrt l.\nAnswer: 560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 1\/((-4)\/22))*2. Which is the second smallest value? (a) 2\/3 (b) s (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 9*d**2 + 9*d + 10. Let t be j(-6). Calculate the highest common factor of t and 384.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 + -3.1. What is the third biggest value in j, -0.4, 5\/16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7445, -6362, -5279?\n\"Answer: 1083*a - 8528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/254 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8166)\/(-5444) + (0 - 2 - -10).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 788*k**2 - 800*k + 1584.\nAnswer: 4*(k - 198)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 61043\/10876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 766 and 1080?\nAnswer: 413640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(252)\/sqrt(4))\/(-1*sqrt(324) - sqrt(324)) + 4)**2.\nAnswer: 2*sqrt(7) + 263\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 0*r**3 + 9 - 1\/12*r**4 - 10*r + 0*r**2. Let f(i) be the first derivative of x(i). Let y(c) = 3*c. Determine y(f(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 10*u - 3. Let l be y(-10). Sort -4, l, -2 in increasing order.\nAnswer: -4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, c: 4, n: 3}. Give prob of picking 1 n and 1 c.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40181, -37670, -35159, -32648?\nAnswer: -30137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10333 is divided by 528?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 - 2*r + 3. What is q(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(3*(-6)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s\/(s*s\/(s*s**(-2\/7))*s*s))\/s)*s))\/s**(-2\/7)*s*s\/s**(2\/3)*s\/((s**7\/s*s)\/s) assuming s is positive.\nAnswer: s**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*j**3 + 4*j**3 + 8*j**3)*(-26 - 10*j + 7*j - 2*j) to q*j + t*j**4 + z*j**2 + u*j**3 + c and give t.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(-2\/9)\/n)\/n*n*n*n*n\/((n**9\/n*n)\/n)*n**(1\/16)*n*n**(-4) assuming n is positive.\nAnswer: n**(-1175\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -173*h - 161?\nAnswer: -173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3032820 divided by 870.\nAnswer: -3486","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.4764213 to two decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30814)\/(-71))\/(-2)*(-2)\/14?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -631, -1283, -1935, -2587, -3239, -3891?\n\"Answer: -652*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 3*t**3 + t**3)*(307 + 468 - 17)*(-4*t + 4*t - t).\nAnswer: -1516*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z + 1088 = 8144. What is the lowest common multiple of z and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 112*y**2 - 112*y**2 - 37*y**3 - 96.\nAnswer: -37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411314 + 33034?\nAnswer: -323230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 918*x**2 + 1828*x - 3615. What is m(-916)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*p + 5 - 53*p**2 - 3.\nAnswer: -53*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/((s\/((s\/(s\/s**(1\/9))*s)\/s*s))\/s))**(-19) assuming s is positive.\nAnswer: s**(-703\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from mkmcmmtmtktjmbb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {z: 1, b: 1, g: 1, s: 3, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -274*l**2. Let b(f) = -1108 - f + 1108. Give g(b(u)).\nAnswer: -274*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 29253, -205, 2 in ascending order.\nAnswer: -205, -5, 2, 29253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/((c**0*c)\/c*c))**6 assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 8*q + 8. Let z be j(-1). Let a = z + -2. Put a, 16, 3 in descending order.\nAnswer: 16, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579579251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 616, 1230, 2048, 3070, 4296?\nAnswer: 5726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**7\/25200 + a**6\/900 + a**5\/75 + a**4\/8 + 11*a**2. Let b(w) be the second derivative of q(w). Find r, given that b(r) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -1\/197, -37, 4, 5, -6 in descending order.\nAnswer: 16, 5, 4, -1\/197, -3, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323, 337, 367, 419, 499, 613, 767?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 60, 71, 86, 105, 128?\n\"Answer: 2*r**2 + r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62 + 53 - 41 + (1 - 2 + 4)*(4 + 2 - 3)*(0 + 2 - 4))*(-h + h + 4*h) in the form q + g*h and give g.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1994, 1997, 2000, 2003?\nAnswer: 2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2204.\nAnswer: -220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58962185 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpzzzazzzpppxzzz. What is prob of picking 2 p and 1 z?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/((-2)\/(-85)). Suppose 5*y + 48 = -2*b + 7, -b + 3*y - 26 = 0. Let l = b - z. What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8672*k**2 + 4359*k**2 - 28 - 5003*k**4 + 2*k + 4340*k**2 wrt k.\nAnswer: -120072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6345143668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - a - 3439 = 0, -3*a = f + f - 1709. Suppose 5*n - 2*k + 4*k - f = 0, 4*n = 2*k + 698. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -288, -294, -300, -306?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.7 + 10.7. Which is the biggest value? (a) l (b) 1\/2 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbj when three letters picked without replacement from jkbbjjbbjmkmdmk?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39137 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -3*v + 5\/2*v**2 - 5\/3*v**3 + 1\/4*v**4 + 1. Determine u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 15 - 4 = 2*a - 0*a, -4*a = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 11*w**2 - 9*w - 8. Let p be 5*(5 + -2 - 1). Let n be a(p). Let i be (28\/8 - 1)*n. Let y(u) = -u - 1. Calculate y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48354982842 and -0.1.\nAnswer: 48354982841.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/630 + 3\/(-13 + -2). What is the nearest to v in 0, -5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 6. Let i(b) = 54*b. What is o(i(l))?\nAnswer: 108*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 + 13. Let t(j) = -j**2. What is t(b(o))?\nAnswer: -25*o**4 - 130*o**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-2 - -1) - -18. Let v = 58 - x. Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + 15*z**2 - 5*z + 12. What is p(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007802291 to six decimal places.\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*h + 20, 5*y - 31 = -11*h + 12*h. Suppose y*p + 392 - 1246 = 0. Which is smaller: p or 124?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*o**4 + o**3 - 5*o + 276 wrt o.\nAnswer: -148*o**3 + 3*o**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 2*b + 18, 3*b - 271 + 244 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*f**2 + 887*f**2 - 269*f**2)*(1 - 2 + 2)*(-4*f + 4*f - 3*f).\nAnswer: -1770*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 7. Determine b(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 10*v**2 + 9*v + 4. Let a be l(-9). Let g(n) = 14*n**2 + 0*n**3 + a*n - 22*n**2 - 6 + 2*n**3. What is the remainder when g(5) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21338 and 8742.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 219.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 3) to base 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126887.6km in meters?\nAnswer: 126887600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212507, 849932, 1912309, 3399638?\nAnswer: 5311919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20978 - -4.\nAnswer: -20974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5 - 470*t**4 - 3864*t**3 - 5832*t**2 = 0.\nAnswer: -6, -2, 0, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-3\/7))))**(-45)\/((n\/(n\/((n*(n**13\/n)\/n*n*n*n)\/n))*n*n)\/n**(-1\/4)) assuming n is positive.\nAnswer: n**(-1175\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -37. Suppose 2*m + 28 = 5*m - 5*h, -2*h = 4*m - o. Suppose -2*f = -6*p + 2*p - 14, -p = 5*f - 90. Calculate the remainder when f is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhreerieip. What is prob of sequence he?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53404725.\nAnswer: 3, 5, 11, 19, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.106, 41, -0.1, 0.3, -0.4, 3\/8, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 5*f - 2. Let g(i) = i**2. Let a = 0 + 1. Let w(v) = a*r(v) - 4*g(v). Determine w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -12*s + 37. Let f be -2 + (8 - -1) + -1. Suppose 2*w + 3 = s*a, 5*w = a - f*a + 5. Put 2, w, -1 in decreasing order.\nAnswer: 2, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.03 - -0.03. Let q = -4 - -4. Let n = 335357 - 335362. Which is the closest to q? (a) 8 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*q - 4. What is the common denominator of 34\/7 and 1\/q*-1*58?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q*q\/(q**3\/q))\/(((q\/q**(1\/4)*q*q*q)\/q)\/q**(-4\/5)))**(-50) assuming q is positive.\nAnswer: q**(655\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 4*f - 0, 3*f - 3*b = 0. Let l(h) be the first derivative of -f + h - 1\/2*h**2. Give l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 19046.\nAnswer: 57138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**15*((h\/h**6)\/h)\/h*h assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u + 31. Let x(z) = 17*z + 95. Let s(i) = -11*c(i) + 4*x(i). Let r be s(-18). Solve r*w = 2*b + 1, -4*b - 3*w - 2*w = -9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556781.\nAnswer: 3, 47, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = -1. Let d be (1 - 34\/4)*v. Let s be (26 + -1)*(-2 + (-5)\/(-1)). Calculate the highest common divisor of d and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 36*d**2 + 33*d + 25. Let g(j) = 3*j**3 + 71*j**2 - 47*j - 49. Let s(m) = 2*g(m) + 5*r(m). Calculate s(36).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5399970276 to the power of 1\/2, to the nearest integer?\nAnswer: 73484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*3\/434)\/((-648)\/756). Let w = -7 - -8. Is w smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = 3*v, -5*v = -3*v - c - 12. Let z = 21 + v. Let n = z + 32. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 713331131 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 17*f + 11676107 + 0*f**2 + 4*f**2 - 2*f**2 - 11675959.\nAnswer: 2*f**2 + 18*f + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 2*c + 3*c)*(3 - 5 - 2)*(-1 - 1 + 6)*(-c**2 + 6*c**2 - c**2) to q*c**2 + x*c + h*c**3 + p and give h.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -797*s**2 + 4*s - 20. Let a be g(4). Let n = a - -24556. Round n to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 + 2 + 40*q**2 - 2. Let u(c) = c**2. What is z(u(l))?\nAnswer: 31*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-25)\/(-10))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2852542.5 nanoseconds?\nAnswer: 0.000047542375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21699?\nAnswer: 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 - -5.8. Which is the closest to 1\/3? (a) h (b) 2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9260367ug?\nAnswer: 0.0000000000009260367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*b - 2*o, -4*b - 5*o + 17 = -8. Solve 3*k - v = 2, 2 + 6 = b*k - 4*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let m(k) = -324*k + 259*k - 173*k - 379*k + 3. What is m(f(r))?\nAnswer: -617*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -3\/8 (b) 133 (c) -6.8 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839929 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.004, -0.09, -0.1, 1\/6, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/5)*p**(-2))\/(p**2*p*p)**(-7))**(-29) assuming p is positive.\nAnswer: p**(-3973\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 c when four letters picked without replacement from cchxhchcc.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1168446000 to the nearest one million.\nAnswer: 1168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1953267, -1953386, -1953505, -1953624?\n\"Answer: -119*r - 1953148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/16240 and -81\/117740.\nAnswer: 470960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to 5800571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1791*c**2 - 821*c**2 - 669*c**2.\nAnswer: 301*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(3645)*2 - sqrt(3645)) + (sqrt(3645) + (sqrt(3645) - (sqrt(3645) + 1))*-2 + sqrt(3645) - sqrt(3645)))**2*-4.\nAnswer: -58324 + 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*d + 1077*d = -168 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 - l - 4. Let x be c(-4). Is x greater than -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 13*h + 5. What is k(-7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256966943?\nAnswer: 15791, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a5a37 (base 12) in base 7?\nAnswer: 1564030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 2*o**4\/3 - 27*o**2\/2 + 8*o - 25. Let p(b) = -3*b**2. Give y(p(n)).\nAnswer: 72*n**4 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 163?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let m(h) = 1 + 5*h - 3*h + h**2 + k*h. Calculate the lowest common multiple of 10 and m(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 - 2*a**3 - 218*a**2 + 5*a - 339?\nAnswer: -12*a**2 - 12*a - 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11414706 (base 10) to base 6\nAnswer: -1044353510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2236 = 31*c. Let y = -62 + c. Calculate the remainder when 163 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-100)*5*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -9 (b) -5 (c) -7988\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 4, -7, -32, -77?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6372376 is divided by 1062046?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let i(g) = -4*g**4 - 7*g**3 - 6*g**2 - g + 2. Let f(v) = v**4 + v**3 - v - 1. Let x(h) = b*i(h) + 3*f(h). Factor x(u).\nAnswer: -(u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2071 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42390948 to the power of 1\/2, to the nearest integer?\nAnswer: 6511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26572 + 15606?\nAnswer: -10865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**2 + 101 + 4*u**2 - 101.\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/1168)\/(-3 - 147\/(-56)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -4 - (-3 + -1)) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, h: 5, g: 1}. What is prob of sequence kg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 6634665. Let m(o) = -23*o**2. Determine z(m(y)).\nAnswer: 23*y**2 - 6634665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sppsspcucssrpsuprr. Give prob of sequence rs.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.437311l?\nAnswer: 4437.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6. Let a be d\/(3*16\/12). What is a rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 78*k**3 + k**2 + k + 1. Let p be j(-1). Let m = -171 - p. Let i = m + 131. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*x + 180*x = 29 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998958138646 + 4?\nAnswer: 1998958138650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - p**4 + 4*p**2 - 2 - 3*p**3 + 2*p + 9*p**4 - 5*p**2 to the form a*p + g*p**4 + i*p**2 + m*p**3 + f and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-35) + ((-645)\/(-21) - -3). Let x be m\/(-289) - 2\/(-17). Which is smaller: -2\/545 or x?\nAnswer: -2\/545","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -13*n**3\/6 + n**2 - 9*n. Let i be t(-4). Let q = 81 - i. Calculate the remainder when 80 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5369 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 131 = 25. Suppose 6 = -5*d + 21. Find the first derivative of -o**2 + 18*o**3 - 7 + o**t - 17*o**d wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5295*y**4 + 387*y**2 + 24799245.\nAnswer: 21180*y**3 + 774*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -31*g + 1786. What is the remainder when l(22) is divided by 111?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 - 6*i - 22. Let q(s) = 7*s**2 + 14*s + 44. Let u(k) = -5*c(k) - 3*q(k). Let j be u(-9). Solve j*n = -5*h + h + 15, -2*h + 5*n = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2*c = 4*g + 4, 4*g + 4*c = -8. Solve -5*x - 3*x + 24 = g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -58. Suppose -f*b = -6*b - 1008. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, -1\/9, 7\/2, -22\/25?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let b(n) = -n - 1. Let c be b(j). Suppose c = -h + 3*g - 2, -5*g + 14 - 4 = 0. What is the highest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.93244 rounded to zero dps?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 1 + 5 + 1638*f**2 - 1640*f**2 + 0*f in the form b + n*f**2 + y*f and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Suppose -z*j + 0*j = -48. Suppose -k = -5*k + j. Solve -5*x = 4*l - 5, k*l - l = -3*x + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(1827\/14)*-6)\/(8\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94007*z + 94003*z = 5*q - 20, 2*q + 3*z - 1 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276 - 275.497. Let h = -148 - -148.087. Let j = h + v. What is j rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 3) in base 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aa1 - -1?\nAnswer: -aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**9\/84 + o**5\/5 - 20*o**2. Find the third derivative of g(w) wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 18561 + 3825. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(1573)*1 - sqrt(1573))**2 + 0)*2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0655298763 + 0.21.\nAnswer: 0.1444701237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 43163 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5 = 2*u. Let a = 8569 - 8569.3. What is the fourth biggest value in -0.12, u, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y**3 - 98*y**2 + 8*y + 32. Let o(s) = -2*s**3 - 23*s**2 + 2*s + 8. Let z(q) = -26*o(q) + 6*u(q). Factor z(w).\nAnswer: -2*(w - 4)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/335 + -26\/67. What is the closest to -1 in 0, -43, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + -185 - (0 - -49)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883 a factor of 36878200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -120. Suppose -84 = -a*j - 7*j. Sort -5, j, 1.\nAnswer: -5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-2*t + t + 2*t) - 195*t - 74*t - 2167*t - 994*t to the form y*t + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 743, 1489, 2221, 2933, 3619, 4273, 4889?\nAnswer: 5461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 39 = -23*a. Suppose -f - 7 = 3*b - 5*b, -12 = -a*b + 3*f. Solve 26 = 5*y + b*i, -3*y - i = -6*i - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17997, -72043, -162123, -288237, -450385?\nAnswer: -648567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 5497\/8241 - 1\/2747. Sort 0, -3\/5, -12.1, k.\nAnswer: -12.1, -3\/5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let i = 0.304 + -0.034. Let h = -0.17 + i. What is the nearest to r in h, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.1 (b) -0.5 (c) -2 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:52 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Let u = -2 + 3. Which is the nearest to u? (a) i (b) -0.3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-236)\/36*-6*(5 + -2). Let c = s + -133. Let p be (20\/c)\/(2*1). What is the nearest to 0.1 in 2, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/5)*g*g*g**(2\/5)\/g*g*g\/((g**(-2)\/g)\/g)*g**3\/g*((g\/g**(-7))\/(g*g\/g**(1\/5)*g))**10 assuming g is positive.\nAnswer: g**(314\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*(-3)\/((-2133)\/(-1264))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1023, 1, 19, 4, 2, 0 in descending order.\nAnswer: 19, 4, 2, 1, 0, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 7*a**2 + 11*a + 28631. What are the prime factors of f(0)?\nAnswer: 28631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7839314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1766*t + 3982*t + 507150 = -2302*t for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 7.9. Suppose -3*w - 157 = -8*w + 3*n, w - 35 = -3*n. Let f be w\/(-12)*6\/36. Put 5, f, q in decreasing order.\nAnswer: 5, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + l + 6 - 4*l**2 - 3 - 10*l**3 in the form b + o*l + d*l**3 + i*l**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782322141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urc when three letters picked without replacement from cru.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.8 and -1.38309?\nAnswer: 2.18309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73118942 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/((-11)\/33). Let m be h - (-232)\/(-28) - -4. Let o be 2\/(-12) + 418\/1140. Which is the smallest value? (a) 0.7 (b) m (c) o (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/599 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 22 + 3 = 4*g, 0 = g - 3*l + 2. Which is the closest to -1\/3? (a) -0.5 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34.5, 24\/167, 1\/7 in decreasing order.\nAnswer: 24\/167, 1\/7, -34.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -6*w. Let c be 18*5\/2 - (w + -1). Suppose h = 5*h + 20, 0 = 2*q - 3*h - c. Solve 10*r + q = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 2*x - 8. Calculate w(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 4:51 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4476377 days?\nAnswer: 644.598288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 - (-267)\/420. Let h = v + -1\/28. Which is the third biggest value? (a) -3\/4 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 5:59 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 5*y - 4. Let h be l(-4). Suppose -4*s + 3*s + 3200 = h. What is s rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Let c(l) be the second derivative of l**6\/360 - l**5\/30 - 5*l**4\/24 + 3*l**3\/2 + 2*l. Let u(h) be the second derivative of c(h). What is u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from iniiiimmn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*r - 10 + 1, r = -2*g + 1. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6500, 6498, 6496?\n\"Answer: -2*j + 6502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2218526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01751*0.1852.\nAnswer: -0.003242852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0137136 rounded to 4 dps?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Calculate the common denominator of ((-1854)\/216)\/(0 - -1) and (-122)\/(-72) + x\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21182490700 + 1.15.\nAnswer: -21182490698.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379.0532 + -0.0532. Let m = b + -377. What is the biggest value in 6\/7, m, 5, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/5 - (-28)\/70 - -38. Suppose -2*f = v - 46. Solve 4*k - 6 - 6 = 0, -f*k = -2*a + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -34.9\nAnswer: 0.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/3052740 and -71\/422970?\nAnswer: 70213020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23931400 times 5?\nAnswer: -119657000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4 - 451020*b**3 + 462587674*b**2 wrt b?\nAnswer: 48*b - 2706120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 10, 1\/468109?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*r - 808 = 0, -2*r - 206 = -l - r. Calculate the highest common factor of l and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times -27?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 7*a + 6. Let w(i) = i**2 + 1. Let r(s) = c(s) - 4*w(s). Let u be r(-3). Solve -u*q = -t + 5, -5*t + 3 = -4*q - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21231\/22 - -1929\/2. What is the nearest to -1 in 0.4, -1\/5, -4.7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/16 - 74\/8. Let d(a) = 5*a + 2. Let p(c) = 4*c + 2. Let x(f) = 3*d(f) - 4*p(f). What is the units digit of x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -464 + 730. What is the third derivative of -l - 3*y**3 + 267 - 7*y**5 + 3*y**2 - 2*y**2 wrt y?\nAnswer: -420*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(1\/3)\/(y**(-2\/7))**(2\/33) assuming y is positive.\nAnswer: y**(58\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3500*d + 14382 = 3517*d. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697126?\nAnswer: 2, 348563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -676?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6*b**2\/11 + 10740*b\/11 - 1460754\/11 = 0.\nAnswer: -1917, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a52a (base 13) in base 5?\nAnswer: -11433114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - 0. Let u = 0.46 - p. Let r = 1.2 - 0.2. Which is the closest to r? (a) 0.1 (b) u (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:41 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (583 - 2303 + 1146)*(1 - 1 + f) + 7 + 3 - 22 - 4*f to the form n*f + r and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 671843.6 millilitres in litres?\nAnswer: 671.8436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 1\/8*p**4 - 2*p + p**2 - 1\/3*p**3 + 0. Let v(t) be the first derivative of l(t). Differentiate v(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 2*i - 45. Let l be f(-8). Suppose -5*v = -v - 2*a - 33046, -l*v + 4*a + 24777 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1626)\/(-10))\/(6\/(-15)) - (-571 + 576). Is -411 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 10*b - 26*b**3 + 3*b.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137169984 to the nearest integer?\nAnswer: 11712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i - 6. Let m = -1.5814 - -1.4814. Which is the nearest to m? (a) i (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxu when four letters picked without replacement from {x: 3, h: 3, z: 5, u: 3, i: 2}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:16 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 393.2 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.28266005 + 540705.33566005. Let p = h - 540715.05299945. Let g = p - -19. Round g to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 16. List the prime factors of o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24368 is divided by 497.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -12, -15, -31\/254, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 + 4*y - 2. Let h be b(-5). Find the second derivative of 2*f + f**3 + 2*f**h + 0*f**3 wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 0.4, -0.5 in descending order.\nAnswer: 3, 0.4, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 22919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 464563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -117, 0.021 in decreasing order.\nAnswer: 0.7, 0.021, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, 5 in descending order.\nAnswer: 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/17114 and 31\/146464.\nAnswer: 6297952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2469, 5454, 8517, 11658, 14877, 18174?\n\"Answer: 39*r**2 + 2868*r - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 273443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/185 = -15723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 364 + 52 = 0. Let l be (-1 - -2)\/((-13)\/k). Let x be 1 + (3 - (-3 - l)). Solve x*r + q + 5 - 23 = 0, 3*r - 30 = -5*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkc when four letters picked without replacement from kkkckckkckc.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153116550 by -2050.\nAnswer: 74691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/3)*z*z)**(4\/27))**(1\/23))**(30\/11) assuming z is positive.\nAnswer: z**(200\/6831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 590\/236*(-3)\/(-10)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 8*q - 2*q + 5*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2)\/((-5 + (-4064)\/368 - -16)*-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-9 + -8 + 21 - -2) - (-45 + 35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/(m*m*m*m*m**(-3\/4))))\/(m**(-8)*m))**(1\/12))**(-2\/19))**(-27) assuming m is positive.\nAnswer: m**(369\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*f + 24, -f = -4*g + 30 - 24. Let q(d) = -6*d - 29. Determine q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1631 - 230551?\nAnswer: -225620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -30. Let b = 13 + h. Suppose 13 = b*o - v, -o - 4*o - 3*v + 5 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - j. Let g(a) = -9*a**2 + 5*a. Let y(z) = g(z) + 5*k(z). Let u(d) = 2 - 2 - 6*d**2 + 8*d**2. Determine u(y(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - 83 + 81 - 4*z**2)*(-105 + 105 - 19*z**2)*(0 + 1 + 1) to the form b*z + c*z**2 + q*z**3 + r*z**4 + g and give c.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 2. Suppose k - 13 = -23. Let y(l) = 9*l + 5. Determine k*f(w) - 4*y(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 1. Let b(x) = -15*x - 7. Give b(o) - 6*r(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0.2, 0.3, 8, -6 in decreasing order.\nAnswer: 8, 0.3, 0.2, -0.04, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**5\/20 + 7*y**4\/12 - y**3 - y**2 + 14*y. Let l be u(5). Let c = l + 80. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -74, -104, -120, -116, -86?\n\"Answer: z**3 - 2*z**2 - 39*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 84 = 4*u - 2*u, 5*o - 49 = -u. Let q = -22 + u. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -456, -2, -838, 4, -1.\nAnswer: -838, -456, -14, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.5 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5115 and 20130?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 7*w - 6. Suppose 0*o = o - 5. Let p be v(o). Solve u - 3*j = 16, 3*j = p*u + 4*j + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**3. Suppose -3*n = n. Suppose n*f + 1 = -f. Determine q(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 14 + 1 = 5*n, -n = -5*z - 9. Let x be (11 - 12)\/(z\/(-26300)). Round x to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 243*d + 11 = 238*d, 0 = -4*r + 3*d - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = 25. Suppose t = 4 + 2. Let p = t - 1. Put p, -4, x in descending order.\nAnswer: p, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130330 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*f - 4*w + 265, w = 4*f - 537. Let r = f - -15. Round r to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9849 + -5.92390267.\nAnswer: -6.90880267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (-2 + 10 + -567). Suppose 6*m = 1575 + y. Is m a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) 24 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {e: 9, t: 4, y: 4}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 + 5 - 8) + 0 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4)*-1*(-306)\/(-15). Suppose -24*f + v*f = 27540. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.76, 148, -162, -5?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904.55 tonnes to micrograms.\nAnswer: 904550000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) 3 (b) -5 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o + 27*o + 7 - 117*o - 14 + 76*o + 7.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43400308.\nAnswer: 2, 7, 199, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1606 - 1.176. What is a rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*k - 3*k, 2*k + 2*m - 8 = 0. Let d(n) = -n - 1. Let s(v) = -8 - 7 - 6*v + 4. Let x(t) = k*s(t) - 22*d(t). Let j(u) = -u. Give x(j(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936*w**3\/5 - 694496*w**2\/5 - 12525892*w - 12387380 = 0. Calculate w.\nAnswer: -3935\/22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (3 + -6) - -4. Suppose 0 = 2*j - p*j + 22. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.029? (a) 3 (b) -36\/11 (c) 0 (d) 0.11 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1208 divide 860096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 485*i**2 + 75090*i - 13175 = 0.\nAnswer: -155, 17\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, i: 1, w: 2, p: 1, l: 1}. What is prob of picking 1 w and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110 (base 2) in base 13?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s**2 - s)*(-366*s - 20*s - 1103*s)*(-1 + 2 - 2*s**2 - 2).\nAnswer: -2978*s**5 - 1489*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*s - 4952 = -s, r + 4*s = 2481. Suppose -3*l = -4*a - l + 2498, -4*a + r = 3*l. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/135 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 281448431 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389370880 divided by 76049.\nAnswer: -5120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -479 - (-5 - (-7 - 4)). What is a rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(136) + -6*sqrt(136)*-1))\/((sqrt(198) - -3*sqrt(198) - sqrt(198))\/(sqrt(99) + sqrt(99)*3)))**2.\nAnswer: 213248\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (98\/36)\/(-7)*((-11134)\/855 - -13). Which is bigger: -1\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27634, 29089, 30544?\n\"Answer: 1455*j + 26179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwowswowwwowwowwswwo. Give prob of picking 2 s.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1219, -1218, -1217, -1216, -1215?\n\"Answer: k - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1168)\/3480 - 544\/(-2040).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7460\/(-1119))\/(2\/3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506.6772 kilograms to grams.\nAnswer: 506677.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12366312*q**3 - 98513425 wrt q?\nAnswer: 37098936*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 192441116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k + 11*k - 27*k + 3*k. Let j(d) = 6*d - 5. Let o(u) = -u + 1. Let z(i) = j(i) + 5*o(i). Calculate n(z(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726d02 (base 15) to base 7.\nAnswer: 64145132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:42 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 2, u: 1, p: 2, t: 1, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdfefseffsff. What is prob of sequence dd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -937341.9 - 1.4.\nAnswer: -937343.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 3*w = 4*m - 6, 4*m + w + 5 = 0. Which is smaller: -3\/1817 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35121 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*11\/(-11)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13.83. Let b = o - 0.16999592. Round b to seven dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = -4*r, -4*s + 7*r - 8 = 3*r. Suppose 3*i = -2*k - 3*k - 31, s = 2*k + 4*i + 18. Let v = 0 - k. Solve -v*g = 10 + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14271.52986ms?\nAnswer: 0.00002359710625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140039641.\nAnswer: 7, 41, 487943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/7))**(-10\/3))**(24\/7))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (19 + -43 - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 14*p - 4*p + 0*p + 0*p + 3*p + 0*p - 2*p + (-4*p + 3*p + 2*p)*(-1 + 3 - 4) - p + 0*p - p)*(10 + 11 - 2).\nAnswer: 114*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304651, 304646, 304637, 304624?\nAnswer: 304607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/9 + 13072*c\/3 - 21359648 = 0?\nAnswer: 9804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 + 4*v. Suppose -2*p + 42 = -3*b + b, 3*p - 63 = -4*b. Let r(f) = 45*f**2 - 21*f. Calculate p*h(t) + 4*r(t).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/2, -6.4, -0.33 in descending order.\nAnswer: 4, 3\/2, -0.33, -6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {e: 6, b: 7, p: 6}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t + 18. Give f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:11 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 6. Let c be -2*4\/8 + -2. Let o(x) = 5*x - 17. Let s(h) = c*o(h) + 8*j(h). Calculate s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**4 - 6*g**4 + g**5 + (-3*g + 3*g - 2*g)*(11*g**2 - 2*g**4 - 11*g**2) + 8*g**2 + g**5 - 8*g**2.\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 9*v + 7. Let a be f(-9). Suppose 0 = -6*u + a*u + 81. Let w = u - -172. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 48*r = -16*r + 1820 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1715 - 2*n - 10*n**2 + 1715)*(-n + 4*n - 5*n).\nAnswer: 20*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191440 a multiple of 1985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*j + 30, 3*t - 4*j + 83 = 206. Suppose 2*o + 84 = 5*d, -o - 82 = -5*d + 5. Calculate the greatest common factor of d and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/63 + 8\/(-28). Let y be -2 + ((-182)\/(-45) - 2). Let g = p + y. Is 1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 4 + (-55 - -59)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.64 and -0.3?\nAnswer: 9.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -20*c**3 - 8*c**2 - 8*c + 8. Let s(u) be the first derivative of -13\/4*u**4 + 4 - 5\/3*u**3 + 5*u - 5\/2*u**2. Determine -5*h(x) + 8*s(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.3. Let b = -11401.3 - -11401. What is the nearest to j in 0.4, b, 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -735, -1759, -3065, -4653, -6523?\n\"Answer: -141*h**2 - 601*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000395098093 to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6009.3 + 6009. Which is the fourth biggest value? (a) -1\/2 (b) 0 (c) 0.02 (d) -10 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11218095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272666133 by 15937.\nAnswer: -17109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -786658, -786672, -786688, -786706, -786726, -786748, -786772?\nAnswer: -786798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let s be (-4)\/(8\/3) + j. Suppose -l = -3*l - 10. What is the second smallest value in s, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 1899 - 2052. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**2 - 10*g**2 + 5*g**2 + (-4*g + 6*g - g)*(0*g - g + 3*g) - 2*g + 2*g - g**2 - g + g + 3*g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**3*y**3 - 49*o**3 + 7*o*w - 191*w*y**3 + 4*w*y**2 with respect to o.\nAnswer: -9*o**2*y**3 - 147*o**2 + 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 + 14 - -4) + 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y. Let s(c) = -490*c. Let j(w) = -41*w. Let o(n) = -49*j(n) + 4*s(n). What is o(g(d))?\nAnswer: -98*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 78163564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2327 - 5556 - 2225 = 361*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/2566960 and 79\/37220920?\nAnswer: 74441840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u - 6300 = -32*u. What is u rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 - 5626*g**4 + 430455*g**3 - 2430884*g**2 + 7185809*g\/2 - 1586850 = 0. Calculate g.\nAnswer: 1, 4, 71, 11175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 314\/(-22) - ((-29028)\/902)\/118\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43a37 (base 11) to base 13.\nAnswer: 23073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*3\/4 + -10 + 940. Let a = -773 + j. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 6*t - 306 + 627 = 275, 0 = -3*t - 3 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-217)\/(-2) - 1\/2. Let r be 7\/((-1)\/(-1)) - (2869\/(-19) - -14). What is the highest common factor of r and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.697 - -54534075?\nAnswer: 54534035.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**8\/840 - t**7\/420 + 3*t**3 - 9. Let n(i) be the third derivative of q(i). Factor n(j).\nAnswer: 2*j**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*s - 2637 - 1265 = 0, 2*g - 5*s = 2618. Suppose -n + 3*c = -214 - 105, 4*n - g = 5*c. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:03 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 11*n + 43. Calculate m(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {y: 3, z: 2, d: 4, k: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*1 + 2)*1 - (2*(-1*sqrt(1300) + sqrt(1300)) + -4))**2*-2.\nAnswer: -2672 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50, 101, 152, 203?\n\"Answer: 51*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = k + 34, -9*k + 53*y - 26 = 48*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2489\/4 - -643. Let f = -59232\/11 + 5378. Let p = f - -827\/154. Calculate the common denominator of p and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-533 + 1113 - 539 - 3*t)*(3*t - 3 + 3)*(2 + 3 - 3).\nAnswer: -18*t**2 + 246*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 25274757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 2*p - 16. Let c be x(7). Let l = 79 + c. Let r be (-2)\/(-9) - (-21)\/27. Solve 4*s - 17 + r = l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 28.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkxw. What is prob of sequence wx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256.188 + -256. Let n = 0.218 - d. Which is the third biggest value? (a) n (b) -1\/10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 814*y - 1 - 819*y.\nAnswer: -5*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*0\/(-2). Let k be 0 - -3 - 2\/((-50)\/(-65)). Are k and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 121*q + 50. Let n be t(-4). What is n rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from ieeieebewheb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3966 and 39309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 29*o - 92. Let c be k(33). Let x = c - -227. Solve 2*h + 3*w - 12 = 0, x*h + 3*w = 2*w + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*g = -279*g - 18 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by -170.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515 and 3914?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -270 (b) 1\/9 (c) -0.1 (d) 1\/2 (e) 81 (f) -1\/7 (g) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 5 + 895*n**2.\nAnswer: 895*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 7 + 7)*(-247*j - 2412 + 2412) - 2*j**2 - 3*j**2 - 3*j**2 as f + g*j + d*j**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + y - 4 = 0, 6 = j + 2*y. Let n(c) = 31*c - 1. Does 17 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 1\/30*o**6 - 1\/126*o**7 + 1\/180*o**5 - 1\/6*o**4 + 0 + 30*o**2 + 0*o + 2\/9*o**3. Find n such that z(n) = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + p**2 - p**2)*(-1 + 1 - 2)*(8301*p - 17822*p + 8018*p)*(8 - p - 9 - 5*p) as k*p + a*p**4 + q*p**2 + c + o*p**3 and give a.\nAnswer: -18036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-34)*x)\/x)\/(x\/(x\/(x**(-4\/11)*x)))*x**19*x\/(x**(-7\/5)*x))**(11\/6) assuming x is positive.\nAnswer: x**(-261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82667 is divided by 443?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 243131700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -627\nAnswer: 188.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/24 and 87\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.1 (c) -1.03583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-3 + 3 + z) - 3*z + 0*z + 2*z - 7*z + z - 6*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from tzszzzzszstpszzs.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*o**2*q*w + h**2*o*q*w + 7*h**2*o*q - 2*h**2*q*w + 53*h*o**2*q*w + 4*h*o*q*w + 3*o**2*q*w wrt o?\nAnswer: 4*h**2*q*w + 106*h*q*w + 6*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -2891, -4336, -5781, -7226?\nAnswer: -8671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -98. What is the units digit of h*(-22 - -1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2655\/(-2478)*-1*175\/(-20)\nAnswer: -75\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12a0 (base 11) to base 2\nAnswer: -11010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, t: 1, h: 2, e: 6, g: 4}. What is prob of sequence eh?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 34*i + 1400. Let o be j(-41). Let m(h) = h**2 - 7*h - 14. Give m(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 h when four letters picked without replacement from hfffffff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(50*t**2 + 123 + 106 - 286) in the form f*t**2 + z*t + n and give n.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3276 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179988303 and 162415.\nAnswer: 899941515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -59893 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 3 - 5 + 2 + 7. Let v(d) = -91*d. Let p(a) = 10*a. Let x(k) = 28*p(k) + 3*v(k). Let u(o) = 15*o. Let n(f) = 6*u(f) - 13*x(f). Give n(r(j)).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 628956.6 millennia?\nAnswer: 6289566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 - x**2 + 3*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 77\/10309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142031542 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 + 13*w - 42. Let x(c) = -7*c**2 - 12*c + 43. Let i(n) = 6*b(n) + 5*x(n). Is i(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 976568.\nAnswer: 1\/244142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 223\/2*k**2 + 32 + 0*k + 3\/4*k**4 + 13\/3*k**3. Find the second derivative of c(d) wrt d.\nAnswer: 18*d + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2 and 42\/56 - (-9)\/44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, k: 1, t: 1, m: 3}. What is prob of sequence gk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. What is the remainder when 4 is divided by d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40320\/(-378))\/64)\/((-10)\/27)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.36 + -13. Let z = r + -0.06. Which is the second smallest value? (a) 4 (b) 2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f + 2044 = -326*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/105 - 156\/(-10). Let c = w + -2. Let x = -210 - -358. What is the lowest common multiple of x and c?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7792\/178025 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 3, 2 in descending order.\nAnswer: 51, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1 - 45*g + 5 - 9. What is the tens digit of k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 3*u - 7. Let m be c(-5). Suppose 4*t + 4*g = 0, m*g - 4 = g. Is (-4)\/6*231\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**0*n)*n*n**(-16))**(-16\/9) assuming n is positive.\nAnswer: n**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(sqrt(2448) + -1 - sqrt(2448)) + -5 + -4))**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/4, -11, -1 in descending order.\nAnswer: -1\/4, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 198*p. Let a(w) = 26*w + 8. Let u(y) = 16*y + 5. Let c(f) = -5*a(f) + 8*u(f). Calculate c(j(g)).\nAnswer: -396*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -190691 minus 0.064?\nAnswer: -190691.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1164 * 9.166\nAnswer: 10669.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3918168 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b08b1 (base 13) to base 6.\nAnswer: -22420212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1874998*i - 4. Let k be v(8). Suppose 4*l = -3*s + k, -4*s - 2*l = -2*s - 9999990. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtt when three letters picked without replacement from {t: 2, c: 3, x: 9, l: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 + 2*m + 4. Let i be (-8)\/5 + (-60)\/25 + 2. Determine z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x**2. Let h(l) = -4*l**2. What is h(v(i))?\nAnswer: -784*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 0*f)*(-1 + 0 + 2) + 30*f + 4*f + 9*f.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2701*c - 25739*c - 17 + 17.\nAnswer: -23038*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5.2. Sort b, 3\/7, 1 in descending order.\nAnswer: 1, 3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2603434 and 10.\nAnswer: 13017170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Let h = 6 - s. Solve 10 = -w - h*p, 0 = -0*w + 4*w + 3*p + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326061 (base 7) to base 8\nAnswer: -157754","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56448745 to the nearest integer?\nAnswer: 7513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 5, 5*r - 5*i + 50 = 0. Let k(x) = -11*x + 5. Let g be k(r). What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22609 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40685486 to the nearest integer?\nAnswer: 6379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 466684069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 720 - 4a?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -383*q**4 + 1052*q**4 - 452*q**4 - 4*q**4 + 3*q**4 + 0*q**4 + (q - 3*q + q)*(2*q**3 - 3*q**3 + 2*q**3).\nAnswer: 215*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 851*g**2 + 2756*g - 2756*g + 3*g**3 to s + v*g**3 + i*g + c*g**2 and give c.\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjtt when four letters picked without replacement from ttttttttjtttft?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96461 is divided by 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l + 32. Let a(c) = -c - 40. Determine a(q(f)).\nAnswer: 6*f - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 166. Let v(n) = -329*n. What is v(a(s))?\nAnswer: -658*s - 54614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(26*i - 4*i + 27*i)*(i**3 - i**3 - 2*i**3).\nAnswer: 196*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 3\/7 (c) -2.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 + 260*m**2 + 99 + 88 + 91.\nAnswer: 260*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -7083.\nAnswer: 7085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 352766435.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 u when four letters picked without replacement from yyyuyyuu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -24 (b) 10.38 (c) -0.22 (d) -3\/4 (e) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, k: 1, s: 1, b: 2, u: 1}. What is prob of picking 1 k, 1 j, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7503 divided by -12.\nAnswer: -2501\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(9\/4))**(2\/55)*(x*x*(x*x*x**(-25)\/x)\/x*x)\/(x\/(x*x**(-1\/3))) assuming x is positive.\nAnswer: x**(-7343\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11573 + 34714\/3. Which is the nearest to u? (a) 1 (b) -0.16 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148517751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 929763519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h + 63 = 0. Let x be h\/(-6) - 2\/(-4). Suppose 2*r = -4*f + 362, -r - x*f = -0*f - 171. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*u - 0*u - q, -3*u + 15 = -q. Calculate the least common multiple of 4 - 3 - u\/(-1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 146. Let f = 41 - j. List the prime factors of (3 - (-721)\/(-21))*3\/f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -8*y + 3*y - 52. Let l be (-4)\/(-6)*36\/120. Let f = -0.44 + 0.04. Put l, y, 4, f in ascending order.\nAnswer: f, l, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6495 by -1299.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 + 19 - (-7 - (26 + -56))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 - -253. What is the smallest value in -0.004, 1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/(-12) - (-4)\/(-6). Let x = 962 + -4783\/5. Let w = x + u. Which is the nearest to w? (a) 5 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21.4, -0.3, 1\/2, -2, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 0.1194.\nAnswer: 0.1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec + 1dda0?\nAnswer: 1dca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3523, 3536, 3551, 3568, 3587, 3608, 3631?\n\"Answer: n**2 + 10*n + 3512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*n + 4*v, 2573*n - 2578*n + 3*v + 65 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -3 (b) -20 (c) 264\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 7) + (-5 - -8 - 1 - 0 - 16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + 15589\/(-262) - (-22)\/(-1)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 16.\nAnswer: 29\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - m - 1. Let u(o) = -o**2 - 3. Let f(i) = k(i) - u(i). Let r(n) = 3*n**3 + 5*n**2 - 3*n + 5. Give 5*f(q) - 2*r(q).\nAnswer: -q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44969.\nAnswer: 193, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffuuffuaapfupjpuuu. Give prob of sequence up.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let m(w) = 2*w + 1. Let i(k) = 6*f(k) - m(k). Suppose -107 = 23*a - 130. Give i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - v - 2 = 0, 3*g - 13 = -2*v - 2*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30452 and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*12\/8 + 5. Sort l, 0.1, 2\/9 in decreasing order.\nAnswer: l, 2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - j - 3)*(-8*j + 8 - 8 + (-3*j + j + 5*j)*(6 - 3 - 2)) - 2 + 2 + j**2.\nAnswer: 6*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4 and 47\/308668862?\nAnswer: 617337724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772 = -j + 4*c, -3*c + 7*c = -16. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9234718877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**4 - n**2 + n - 1. Let i(z) = 8*z**4 + 2*z**3 + 10*z**2 - 11*z + 9. Let y = -17 - -19. Let m(w) = y*i(w) + 18*h(w). Factor m(f).\nAnswer: -2*f*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1954645209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((-1)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121435958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048 * -0.0367.\nAnswer: -0.0017616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2648906466 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -38\/3*l**3 + 71*l + 0*l**2 + 85. Differentiate d(c) wrt c.\nAnswer: -76*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 2 t when four letters picked without replacement from {h: 2, v: 1, r: 8, o: 1, t: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 6. Let n be g(-14). Suppose -n*h + k = -7*h + 1, 2*k = -3*h + 22. Solve 10 = -h*r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 - (2 + -1 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 d when four letters picked without replacement from {z: 1, d: 5, a: 1, c: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/32*1 + 2\/8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4384289.98000181 - -4384290. Let g = t + -0.02. Round g to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -35, -48, -59?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*k - k, -3*a = 3*k. Let n = 8 - 5. Sort k, n, -6.\nAnswer: -6, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times 5739\nAnswer: 12625.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 10*1*(-1 - 3\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(572))\/sqrt(11) - sqrt(52)) + sqrt(52) - sqrt(104)\/sqrt(8))\/(sqrt(48)\/(sqrt(12)*-1) + 2*sqrt(4)*2))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 4. Let y be g(2). Find the third derivative of 0*d**2 + 6*d**2 - 4*d**5 + 3*d**5 - 3*d**y wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52498, 52391, 52296, 52219, 52166, 52143, 52156, 52211?\nAnswer: 52314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 4*b + 4. Suppose 0 = 16*i - 47*i + 341. Let u(h) = -11 + 10*h + 3*h - 2*h + 6*h**2. Give i*j(t) + 4*u(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6306906)\/(-97892145)*-129)\/(-4). Let r = p - -1\/241709. What is the common denominator of 59\/20 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**3 + 20*j**2 + 13*j + 23. Calculate m(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1679\/92 - 18)\/((-11)\/1452)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from yyppppypppy?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58\/3 - -20. Let q be ((-10)\/3)\/(18\/(1836\/(-85))). Which is the nearest to 20? (a) -0.4 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-126)\/(-26) - (-8)\/52. Suppose -f - f + 13 = 3*o, -l*f + 16 = 2*o. What is the third derivative of -f*j**4 + 4*j**4 + j**4 + 2*j**2 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/3 (c) -0.5 (d) -33 (e) -1 (f) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-118*v + 170*v - 116*v)*(-v + 4 - 4)*(v - 5*v + 2*v) as l*v + w*v**2 + z*v**3 + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -76917497 and -33954.\nAnswer: -76951451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n - 2*n)*(98 + 75 + 26).\nAnswer: -398*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Suppose -3*q = -2*r - 10, 3 = -5*r + q + q. Put r, 0, a in decreasing order.\nAnswer: r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1035)\/1265*(-8)\/(-6)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967407827 a multiple of 8327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5\/4 + 513*t**4 + 3093*t**3\/2 - 513*t**2 - 6183*t\/4 = 0. Calculate t.\nAnswer: -3, -1, 0, 1, 687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003655 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*w - 81*w + 5328 = 0. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10779599509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 686*k - 100. List the prime factors of c(2).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2043 is divided by 964?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3071726 and -95\/1302.\nAnswer: 285670518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5218.98 tonnes in kilograms?\nAnswer: 5218980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*l**3*w + 74*a*l**3 + 2*a + 185*w wrt l?\nAnswer: -3*a*l**2*w + 222*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 8*t = 5*i + 90, 32*t + 17 = 2*i + 203 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.9683 to 1 decimal place.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(11\/(-2) + 1). Suppose 5*i - 39 = -l. Suppose -t + i*t = 485. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 335*u**3\/3 - 110*u**2\/3 - 1225*u\/3 - 260.\nAnswer: 5*(u + 1)**2*(67*u - 156)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 27074253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -47, -123, -225, -347, -483?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*o + 170*o + 171*o - 645 - 9*o**3 + 646 + 166*o.\nAnswer: -9*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/60 + 5*i**4\/24 - i**2. Let a be h(4). Let q = a + -3. What is the highest common divisor of q and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 432\/(-45) + (-6)\/(-10). Let g = -0.1 - 0. Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 920338, 920269, 920200, 920131, 920062, 919993?\nAnswer: 919924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 185791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739492?\nAnswer: 2, 13, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 24*c - 7. Let u be p(-22). Let i = -890 - u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1999698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 = 2*p + 65, -p - 36 = -5*y. Sort 5, -14, p in increasing order.\nAnswer: -14, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*y - 80, 7*y = 3*c + 3*y - 50. Let d(z) = -1 + 1 - c*z**2 + 23*z**2. Let m(t) = -t. Calculate d(m(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqaxeyyqaqexeeeyqe. What is prob of sequence qyq?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727 - 158 = 59*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (46 + -47 - 3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 45. Suppose 2*a = -d*l + 2696, -2*a - 6705 = -7*l + 2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ottc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6327752*u + 1744. Let p be v(-3). What is p rounded to the nearest 100000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 19.17 (c) -2 (d) -1 (e) 3 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879945 to the power of 1\/2, to the nearest integer?\nAnswer: 1970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-0.36.\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = 0, 5*h + 625 = -2*y - 608. Let i = y - -1033. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789\/(7\/(-28) - 30\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 283*r**3 + 494*r**2 + 17*r + 34. Give m(-3).\nAnswer: -3212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 + -9 + 186 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -10, 401\/14 in descending order.\nAnswer: 401\/14, 0.1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 - 5 + 3*f**2 + 2)*(-5*f**3 + 7*f**3 + 5 - 6).\nAnswer: -4*f**5 - 6*f**3 + 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w + 4*w - 4*w + 4*w**4 wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 + -240. Which is the third biggest value? (a) -10\/9 (b) g (c) 1\/10 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 13*y**2 - 32*y + 26. Let p be f(15). Is 158\/(3 + 1 + p\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 1. Let h be d(1). Is 42\/(h\/3 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342321611 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {x: 4, a: 3, u: 3, i: 4}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 2.2. Let h = 2.9 - n. Let x = 38.37 - 37.97. What is the second biggest value in -3\/11, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k + c + 4, -5*c - 10 = 0. Suppose -2*w - w + 15 = 0. Solve -w*z + 13 + k = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 111. Let w(i) = -2373*i**2 - 2372*i**2 + 4742*i**2. Give w(l(t)).\nAnswer: -12*t**2 - 1332*t - 36963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d - 430 = 250. Calculate the greatest common divisor of d and 1570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1327394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105627 by 4.\nAnswer: 105627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2 (c) 2\/21 (d) 3\/5 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*m**2 - 46*m**2 - 25*m**2.\nAnswer: 411*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*c**2*l*z - 8867*c**2 + 57*c*l*z - 56*c*l - 5*c*z wrt l.\nAnswer: -12*c**2*z + 57*c*z - 56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 8*t + 11. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {i: 19, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 - 3 = 18*o + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 671542902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16684*c**2 - 8335*c**2 - 8346*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 134, -5, 1, 2 in ascending order.\nAnswer: -17, -5, 1, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/30 - 94*s**3\/5 - 281*s**2\/5 + 1588*s. Let l(k) = 0. Calculate k.\nAnswer: -281, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(136))\/(sqrt(968) + -2*sqrt(968) - sqrt(968)).\nAnswer: 3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3834452 + 0?\nAnswer: 3834452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 2. Let c be d(-3). Solve c*l = 5*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 22*h**2 - 18*h - 67. Let n be w(21). Let j be 1*n + (-44)\/(-11). Which is the third smallest value? (a) -0.1 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 12*v**2 + 16*v - 7. Let g be q(11). Suppose -2*n = -b + 1, 2*b + 3*n = -b + g. Calculate the remainder when 20 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o**2 + 11*o**2 - 5 - 27*o**2)*(-o + o + 2*o).\nAnswer: -10*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22874 + -22817. Which is the fourth biggest value? (a) o (b) -14 (c) 2\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21932196*w**4 - 2*w**2 - 74038?\nAnswer: -526372704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -11 - 5. Suppose 15 = -v - 3*q, f*q + 20 = v + 3*v. Let c be v - -1 - 0 - -9. Is 10 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y**2 + 42*y - 75. What are the prime factors of u(-11)?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 7*y + 30. Let k(z) = 2*z**2 + 2*z + 10. Let s(m) = 3*b(m) - 8*k(m). What is the units digit of s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from {w: 1, s: 2, i: 1, k: 2, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -41, -34, -9, 40, 119, 234?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.5 - -13.9. What is the fourth biggest value in 0.3, 2, 3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*k**3 + 2*k + 4*k**4 + 274*k**2 - 278*k**2 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -25859*d + 672313. Give m(26).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*c - 10, 3*c + 2*c - 50 = -5*g. Let s be (17 - 20)*2\/g*16. Let u(q) = q + 25. Let x be u(s). Calculate the greatest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27\/7 + -81\/14. Let z be ((-99)\/(-138028))\/((-12)\/(-86833)). Let b = z + -8\/3137. Calculate the common denominator of x and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -434493*o + 313192 wrt o.\nAnswer: -434493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**3 + 3*x**2 - 173*x**3 - x**2 - 103*x**3 as s*x + w*x**2 + q*x**3 + h and give q.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 - (16 - (114 + -15))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = a, -3*z - 24*a + 28*a = 17. Let c(o) be the third derivative of o**6\/60 + o**5\/12 + o**4\/8 + 2*o**3\/3 - o**2. Give c(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1458 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071835?\nAnswer: 5, 47, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-9))\/((-1)\/(-6)). Let f(v) = -115*v + v**z + 115*v. Let i(j) = -3*j**2. Let g(h) = 8*f(h) + 3*i(h). Let t(u) = -2*u. What is t(g(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = 5*o + 4, 2*o - 2 = -3*k. Suppose -r = -k*r - 22. Calculate the remainder when 131 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-9 - (8 + -7)) - (78 + -24).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 80. Suppose -f*d = -s + 2*s - 453272, -4*d = 4*s - 362624. Suppose -6*x - d = 202146. Round x to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 181035.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 552 = 0. Suppose -2*m - a = -5*m. Suppose -5*b + m = -24. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1190 - 5917?\nAnswer: -4727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279 + 269 - 524 + 20*p + 39*p with respect to p.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 + 2*l**2 - l + 1. Let h(x) = -11*x**3 + 212*x**2 + 6*x - 6. What is -h(r) - 6*j(r)?\nAnswer: -r**3 - 224*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.1. Let z be (-37 - -40) + (-9*1)\/3. Which is the nearest to 0? (a) z (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*b - h, 0 = -0*b - 5*b - 3*h + 22. Let m = 12 - 7. Suppose -13 = 4*j - m*f, j = b*j - 3*f + 12. Solve j*n + 10 = 8*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14487890.\nAnswer: 2, 5, 1448789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (266*n - 672*n - 1622*n)*(1 - 4 + 0) to q*n + y and give q.\nAnswer: 6084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 17. Let h(f) = 2*f. What is h(x(d))?\nAnswer: 2*d - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0981 in 0.5, 400, -31, -0.4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 9*p + 3*p + 1)*(3*p - 3 + 3).\nAnswer: -39*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 280515745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*z + 14 = 0, -7*s - 2*z + 27 = -3*s + 33 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2.82 (c) -1058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 - y**4 + y**4 + (y**3 - y**3 + y**3)*(y**2 + 2*y**2 - 2*y**2) + 6*y**3 - 80*y**2 - y**5 + 80*y**2.\nAnswer: -3*y**5 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16632103 (base 8) in base 2?\nAnswer: 1110110011010001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 919600 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -339 and -461 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*w + 6, -3*w - 15 = -3*q. Suppose q*j + 2*o - 3*o - 33 = 0, -5*j - 2*o + 55 = 0. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 528 + -526. Solve -3*j = 4*w - 4, 4*w + r*j = 6*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8910.4060824 and 0.05.\nAnswer: -8910.3560824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -797024 + 0.3.\nAnswer: -797023.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 + 10*w**2 - 274*w**5 - 235*w**5 + 534*w**5 wrt w.\nAnswer: 1500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**(-9))\/f*f*f**(-3\/4)\/f)**(-45)\/((f\/(f\/((f*(f**(2\/9)\/f)\/f)\/f*f))*f)**(1\/31)\/(f**(-7)*f*(f*f**3)\/f)) assuming f is positive.\nAnswer: f**(-467891\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 0 + 0. Let w be s(2). Calculate the common denominator of 1\/(-4)*(65 + w) and 79\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 17 - 3 - 119*r.\nAnswer: -119*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 7*l. Let d = 29 - 16. Let m = d - 19. Determine z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 4. Let r(c) = 2*c - 2*c - 3 + 3*c. What is the remainder when x is divided by r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42840039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.067 + 0.066476. What is a rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -1 - (-54 - -69).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*r**3 + 39*l**2*r*t**2 - 47*l**2*t - 3*l*r**3 + 5*l*r**2*t**2 + l*r*t + 2*r**3*t**2 wrt t.\nAnswer: 78*l**2*r + 10*l*r**2 + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 times -0.0445?\nAnswer: -17.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*t = 1573597, 1573601 = 4*u + 2*t - t. What is u rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 516 and 4310836.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 11*a**6\/60 - a**5\/20 + a**3\/2 + 1872*a**2. Let l(w) = -45*w**3 + 5*w**2 - 5. Determine 3*l(d) + 5*s(d).\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*q + 77*q - 2384 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -464421\/247 or -1879?\nAnswer: -464421\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y**5 + y**2 + 0*y**3 - 3 + 0*y**4 - 11\/6*y**6 + 0*y. Find the second derivative of r(c) wrt c.\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - (8 + -4))*(0 + -2). Let u = 21 + f. Find the second derivative of 10*p + 14*p**4 + 5*p**4 - u*p**4 - 27*p wrt p.\nAnswer: 168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 + 0.2. Which is the third biggest value? (a) v (b) 1\/13 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*w - 5523 + 76, 0 = -2*u + 4*w + 3632. List the prime factors of u.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a\/a**4*a)\/a)*a))**(2\/31)*(a**(-2\/7))**(1\/5) assuming a is positive.\nAnswer: a**(-342\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 104, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 4. Let r be y(9). Let t(j) be the third derivative of 0 + 0*j**3 + 3*j**2 + 1\/120*j**6 + 0*j - 1\/60*j**r - 1\/12*j**4. Factor t(q).\nAnswer: q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -78*b**4 + 6*b**2 + 49. Let x(t) = 157*t**4 - 14*t**2 - 97. Let g(a) = 7*l(a) + 3*x(a). Differentiate g(p) with respect to p.\nAnswer: -300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 times 0.0374?\nAnswer: 3.8896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - 0.4. Let k = 0.09 - -4.41. Let j = k - 4. Which is the closest to -2\/5? (a) i (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*d + 33*d - 209 + 61 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3 - 65*l**2 - 760*l - 1680 = 0.\nAnswer: -4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 21800 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.198 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -3*n - 6*r + 4*r, 0 = -3*n - r + 210. Let j be (-1)\/(-7)*2 + 330\/n. Find the second derivative of 12*f + 4*f**4 + f**4 + 9*f**4 - j*f**4 wrt f.\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93450, 93471, 93492, 93513, 93534, 93555?\nAnswer: 93576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose a*j - 5 = 7. What is the third smallest value in j, -3, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/2)\/(-7)*6. Suppose -4*f - 1 = -5, 5*z = -v*f + 38. Is (z\/(-3) - -2)\/(3\/(-9927)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 + t**2 + t - 2. Suppose -4*b = -0*b + 8. Let q(i) = -i**3 + 13*i**2 - 8*i + 21. Calculate the remainder when q(12) is divided by z(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196248 and 6341?\nAnswer: 73200504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1406869132 is divided by 646?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -157\/4, -4, 90\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 18 = 3. Suppose -4*q + q = -5*g - 2, g - q + 2 = 0. Is 2\/(g\/9) - y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a factor of 41436020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.091 times 0.01\nAnswer: -0.01091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7578\/11 - 134875\/198. Find the common denominator of f and (1*(-83)\/(-4))\/4.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from sssaaadaddsac.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/j**(-3)*j**(-2\/3)\/j*j*((j\/j**(-2))\/j)\/j)\/((j*j**(-2\/3)\/j)**39*(j**(2\/9))**(-8)) assuming j is positive.\nAnswer: j**(253\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 486 + 1299741?\nAnswer: 129a117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*p**2 + 103*p**2 + 122*p**2 + 118*p**2 - 471*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 2*t + 35. Let q be s(0). Let f = q - 15. Suppose -18*a + f*a = 262. List the prime factors of a.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 28*g - 220. What is c(-12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**2 - 4\/3*d**3 + 3 - 5*d - 1\/4*d**4. Let y be k(-4). Solve 1 = -y*n - v, 10*n - 5*n = 4*v - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 54 + (-14)\/(-35)*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7640290 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:46 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/5830 and -41\/2915?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*t = 15, -4*s - 4*t + 3*t = 5. Sort -1, s, -4 in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let a(c) = -6*c**2. Let s be (-45)\/12 - (-1)\/(-4). Let f(p) = -p**2 - 2*p**2 + 10*p**2. Let v(o) = s*f(o) - 5*a(o). Determine x(v(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 200?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3*17.\nAnswer: 73.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 277391 and 2?\nAnswer: 554782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/3 + 36872*i**4\/3 + 405800*i**3\/3 + 627220*i**2\/3 - 135266*i - 221364 = 0?\nAnswer: -9, -2, -1, 1, 18447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1066, 7509, 18248, 33283, 52614, 76241, 104164?\nAnswer: 136383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-60))\/(((-2)\/6)\/1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 18 - (-36 - (12 - 64))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6159730.\nAnswer: 2, 5, 467, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 7*l**2 + 10*l - 13. Let t be v(8). Suppose t*k = -10 + 10. Suppose 5*g - 1654 + 5104 = k. Round g to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 261\/(-4) - 2\/(-8)*1. Let s be 6\/3*g\/(-10). Solve -y = -5*d + 12, -3 = 5*y - 3*d + s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122752 and 12544?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2. Let v = 39 - 59. Let o be -4*(-1 + (-5)\/v). Suppose -4*k - z = 1, -o*k = 2*z + 2*z + 17. Let h(g) = -g**3 + g**2. What is k*r(d) + h(d)?\nAnswer: -d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 8. Round b to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 9*h**2 + 7. Let t be f(-9). Suppose 3*g - 5 = 64. Let d(a) = -4*a**2 + 7 - g*a**3 - a + 0 + 11*a**2 + 22*a**3. What is d(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 minus 93842?\nAnswer: -93729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*p - 564 + 554, p + 13*q + 34 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**7\/3360 + k**6\/720 + k**5\/480 + 2*k**3\/3 - k**2. Let s(h) be the first derivative of m(h). Factor s(i).\nAnswer: i*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 416*g**2 - 852*g + 9926. Give j(414).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7112 + 3399 = -85*f - 2778 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -97*f - 4095. What is w(-42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 119, 197, 273?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286086.\nAnswer: 2, 3, 47681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/4 - 8231*y**2\/4 + 16465*y\/4 - 8233\/4 = 0. Calculate y.\nAnswer: -8233, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k**2 + 3. Let h(b) be the first derivative of -10*b**3\/3 - 3*b + 4. Let z(x) = 2*g(x) + 3*h(x). What is the first derivative of z(j) wrt j?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5616771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9))**(2\/15) assuming g is positive.\nAnswer: g**(-4\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1106, 1105, 1104, 1103, 1102?\n\"Answer: -c + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 399271777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**17\/k)**(-2\/11)\/(k*k**9*k**(-2\/29)))**(7\/2) assuming k is positive.\nAnswer: k**(-14539\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-6))\/((-5)\/(-3)))\/((-19)\/(-4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -82 from 49.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340276 + o - 340276.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 736*p + 732*p - 4 = 0, 3*r + 5*p - 1 + 1 = -3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from agaaaaaagagaaaaagg.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1000*v + 121. Let h(a) = -667*a + 81. Let o(w) = -7*h(w) + 5*r(w). Is o(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1.68 (c) 5 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187868.\nAnswer: 2, 3, 11, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 105\/(-20))\/(2\/(-8)). Find the second derivative of -17*r + 2*r**3 - 905*r**5 + 912*r**f - 2*r**3 wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7790 + 5471 + 3700)*(0 + 0 + f)*(3 + 2 - 10)*(0 - 3 + 5)*(-2*f + f + 2*f).\nAnswer: -13810*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - a + 1 = 0, 0 = -4*q - 3*a + 27 - 4. Suppose q*p = -3*r - r + 1636, 4 = -4*r. Is (p\/(-15))\/((-4)\/6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -14. Let v be h\/(-2)*(-12)\/18. Suppose 0 = -2*l + 3*b + 662, v*b + 1655 = l + 4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -32\/57 (b) 4 (c) -5\/2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 37153269983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3 = -4*q, -q - 22 = -14*o + 9*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 564 + -353. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072212 rounded to 4 decimal places?\nAnswer: 0.0722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88325 and 18021833.\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/80976 and 167\/161952?\nAnswer: 161952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/143 + 13266\/(-97284)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 31*w - 4. Let v be a(2). Suppose 0 = -0*k - 2*k, 3*m = 5*k - 18. What is the units digit of (-2)\/3 - v\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 30 = -a. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1356, -1\/3, -8?\nAnswer: -0.1356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2314.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(539) + -2)**2 + 2 + -2 - ((sqrt(539) + ((sqrt(539) + -2)*6 - sqrt(539)))**2 - (sqrt(539) + 0 - sqrt(539))**2*-5))*6.\nAnswer: -114048 + 5964*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 9, 4*y - 34 = 3*r + 3. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 - -143. Solve r*u - v = -6 - 1, 0 = -2*u - v - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*n = 4, 2*n = -2*h + 7*n - 2. Suppose 3*r - 4 + 1 = 0. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455395040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -212027 - -11703?\nAnswer: -200324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -6 (c) -2\/323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 + -0.08. Let o = -0.07 + 0.67. Let f = o + 0.4. Which is the closest to w? (a) -0.5 (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7066*b + 388630. Determine s(-55).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4004, -10028, -16046, -22058, -28064, -34064?\n\"Answer: 3*c**2 - 6033*c + 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*t + 6*t = 6, -t + 5 = 4*l. Suppose 0 = 29*z - 326 + 94. Calculate the lowest common multiple of l and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*p - 3*y, -y + 8 - 10 = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + -1 + 2 + (-19 - -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 318*k**2 + 2736*k.\nAnswer: -3*k*(k - 8)*(k + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from yeeeyeeyye?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*i - 562*i = -58. Let k(x) = x**3 - 13*x**2 - 15*x + 18. Let z be k(14). Put -2, z, i, -124 in decreasing order.\nAnswer: z, i, -2, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131 and -40.95732.\nAnswer: 5365.40892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 126 - 20 = t, -2*b = 0. Let j(z) = 2*z**3 - 18*z**2 - 13*z + 5. Let d be j(10). Let u = t - d. Calculate the remainder when 59 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 2*k - 19. Suppose 3*x + 8*f - 4*f + 43 = 0, 0 = 3*x + f + 40. Is b(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2864630 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/12)\/(9282\/585) - 4\/34?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*9\/3*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.5. Let c = -0.3 - d. Let p = 0.8 + 0.2. What is the closest to p in c, -5, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142.15 - -138.15. Let q be ((-2)\/(-30))\/((-57)\/9). What is the fourth biggest value in q, -1\/3, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbv when four letters picked without replacement from rtbtrbtvtrzbt?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5516953*s - 31722 = 5516020*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 8306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2. Let n(s) be the first derivative of s**2\/2 + 15. Calculate z(n(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 22. Let q(k) = k - 11. What is 3*d(m) + 5*q(m)?\nAnswer: -m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - g + 2*g)*(-3*g - 13*g + 30*g) + (-g - 4*g + 6*g)*(-3*g + 4*g + g) to the form j*g + n + h*g**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502448 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4642, -4622, -4588, -4540?\nAnswer: -4478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/10)\/((-1)\/(-5)). Suppose -5 = 4*v - 5*v - 4*r, -i*r = -2*v - 12. What is the units digit of 4 - (1 + v + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 122022221022011?\nAnswer: -122022221022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 9*q**2 - 5*q - 23. Let f be h(-6). Suppose -6*g + 2*g = -976. Let z = g + f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*d**4 - 14773 - 7199970*d**2 - 33*d + 7199970*d**2 with respect to d.\nAnswer: -256*d**3 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2851262?\nAnswer: 2, 61, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11490)\/(-766)*(4\/3)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-621) - 6195\/(-1495) - (-1 - -5)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4647, -4645, -4647, -4653, -4663?\n\"Answer: -2*o**2 + 8*o - 4653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 1738*b**2\/5 - 25829*b\/5 + 27568\/5.\nAnswer: -(b - 1)*(b + 16)*(b + 1723)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4971936761?\nAnswer: 11, 451994251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2491 + 8060*z**2 + 5026 - 2535.\nAnswer: 8060*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1809157 times -0.1\nAnswer: -180915.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 700229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4 - 4 - 31*n - 24*n + 6. Let y be w(-2). Let a be y\/30 + (-4)\/(-10). Solve -2*v + a*v = 3*k + 8, 0 = -k + v - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**3 - 82*v**2 + v - 3. Let z(g) = 2*g**3 - g + 1. Give -j(u) - 3*z(u).\nAnswer: u**3 + 82*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13.7 (b) -1\/7 (c) -31\/220463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyok when four letters picked without replacement from ozoroykkro?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 1\/60*o**5 - 1\/180*o**6 + 0*o**2 + 1\/6*o**4 + 35\/3*o**3 - 25 + 0*o. Let w(i) be the third derivative of v(i). Factor w(d).\nAnswer: -2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -17\/2*b**3 + 89*b**2 + 0*b + 0 + 15\/8*b**4. What is the first derivative of u(i) wrt i?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 3. Let r be t(-4). What is the tens digit of ((-3)\/9)\/(r\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/60 and 79\/251090.\nAnswer: 1506540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*b + 2826 = -125*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*4*(-3)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from dddtddbdthdtdddb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 36 = 12*j - 9*j, 0 = 3*j - 2*d - 18 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**(4\/9))\/p))\/p**(-6\/7))\/((p\/((p*p**(-8))\/p*p))\/(p*p**(-8))) assuming p is positive.\nAnswer: p**(-800\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-18) - (-14)\/3. Find the third derivative of 0*v**4 + 6*v**2 - v**4 - 6*v**m wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**7\/840 + o**6\/360 + o**3\/3 - 3*o**2. Let r(a) be the first derivative of t(a). What is the third derivative of r(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 81\/381830 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 339362914 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 > -3217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -43*g**2. Let p(r) = -6*r + 10. Let f(s) = 7*s - 12. Let q(t) = -5*f(t) - 6*p(t). What is j(q(m))?\nAnswer: -43*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14303034 (base 6) to base 14\nAnswer: -caabc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(275))**2 + -5.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 229*g**2 + 102*g + 1238. Give j(115).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-15) - -2 - (255\/225 + -13)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 2, i: 2, a: 3, s: 8, x: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255.864 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5064 and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -67*p**2 - 2*p - 2. Let k(w) = -146*w**2 - 5*w - 5. Let o(y) = -2*k(y) + 5*r(y). Let v(b) = 11*b**2. Give v(o(x)).\nAnswer: 20339*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90988?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*j - 5*f - 264, -f = -3*j + 257. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 10542.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 1\/6, 25, 0.2, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 + u + 1. Let p(k) = -4*k**3 - 11*k**2 - 4*k + 9. Determine -p(d) - 2*q(d).\nAnswer: 2*d**3 + 9*d**2 + 2*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6340, 12736, 19144, 25570, 32020, 38500, 45016?\n\"Answer: o**3 + 6389*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13*p + 15*p - 17 = 0, 4*p = 5*l - 11. Let k = -11 + 15. Solve k*a = l + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 206 + 106 = 42 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188801*b**4 - b**3 + 747419*b**2?\nAnswer: -4531224*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -709, -1417, -2127, -2839, -3553, -4269, -4987?\n\"Answer: -b**2 - 705*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.48 (b) 1\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 3*x**2 + x + 2. Let o be t(-2). Suppose -o*i + 562 = -78. Suppose -2*u - 2*p + 84 = 0, 4*u + 2*p = -0*p + i. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -649 - -656. Sort 0, 2\/9, m.\nAnswer: 0, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 53?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/28*12 + 3*1. Let m(b) = b - 3. Give m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 10)*(1 - 1 - 3*y).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-1)*i)))**(-2\/35)\/(i**7\/((i\/i**(3\/2))\/i))*(i**5\/i*i)\/i*i**(1\/11)*i**(4\/9)\/((i*i\/(i*i*i*i\/i**4*i*i*i))\/i) assuming i is positive.\nAnswer: i**(-14011\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(224)*-2*5 + 1*1*sqrt(224)))\/(sqrt(343) + -2*sqrt(343)*-6 + sqrt(343) + (-4*(sqrt(63) + sqrt(7)) - sqrt(63)*-1)))**2.\nAnswer: 41472\/7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.223685 + -0.2224.\nAnswer: 0.001285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 32*t + 4489 = -3*g, 4*t = g + 4483. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 3, -2*b + 2*d + 22 = 0. Let z be (-1 - 1)\/((-7)\/b). Suppose -z*u = -7*u + 180. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/38 or 0?\nAnswer: -39\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (15 + 2 - 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-1)\/(-25)*-1. Let m = -5539 + 5601. Which is the third biggest value? (a) -1 (b) g (c) -0.5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 2, k: 2, c: 3, z: 1, v: 9}. What is prob of picking 2 v?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148, -5, -1, -0.3?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/4 + (-79 - -69). Do r and -22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2683*g. Let d(z) = -710*z. Calculate q(d(a)).\nAnswer: -1904930*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -221213332020 (base 4) in base 15?\nAnswer: -e58119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/162 and -137\/738.\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r**3*r)*r)\/r)**10*(r*(r*r\/r**(-17))\/r*r*r*r)\/(r*r**(-25)) assuming r is positive.\nAnswer: r**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/598545 and -49\/235?\nAnswer: 598545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2854.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 48.02. Let q = k + 3. Which is the third smallest value? (a) -3\/4 (b) q (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/24 + (-4)\/(-6). Suppose -2*j - 11 = -4*j + 3*q, q = -2*j - 9. Let v = 56\/197 + -533\/1182. What is the closest to i in j, v, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 37*z**2 - 10*z + 1. What is the tens digit of x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -345*v**3 + 12*v**2 + 2978*v + 6. Let k(d) = -342*d**3 + 10*d**2 + 2978*d + 5. Let r(l) = -5*j(l) + 6*k(l). Find the second derivative of r(c) wrt c.\nAnswer: -1962*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-6))\/((-9)\/12). Let z be (f*5\/20)\/(2\/(-8)). Is 10\/17 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - (5 - 4)) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 - 2*h**2 + 3*h**2 + (-1 + 0 + 0)*(h**2 + 0*h + 0*h) + 2*h**2 - h + h)*(3 - 3 + h**2).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -180*q**5 + 2*q**4 + 350*q**5 - 171*q**5.\nAnswer: -q**4*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/9 + 1349*o**2\/3 - 35725*o + 103125 = 0. Calculate o.\nAnswer: -4125, 3, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -586963.3623 - -586990. Let j = 26.51 - o. What is j rounded to 3 decimal places?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 - 191 = -2*q. Suppose 0 = 2*y + 3*w - 119, -5*y - 4*w - w + 295 = 0. Suppose -5*a + y = -3*a. What is the remainder when a is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248636 is divided by 663?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 - 1484*r**4 - 20755988*r**3 - 15831839828*r**2 + 31725953536*r - 15873356240 = 0.\nAnswer: -1198, 1, 2765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/33 and 31\/27006.\nAnswer: 297066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186552 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 0, 3*i - 15 = 7*a - 12*a. Let o(l) = -l. Let g(j) = j + 14. Let f(w) = -11. Let q(u) = -5*f(u) - 4*g(u). Calculate a*o(c) - q(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002122 + -2111212021101?\nAnswer: -2111211011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 8*a**2 - 7*a + 9. Let q be v(7). What is the greatest common divisor of q and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-14))\/((-7437)\/(-24790)*5*-1)\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 829586101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 15*r - 54. Give f(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 25269 - 6149. What are the prime factors of s?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -494 + 489. Which is the third smallest value? (a) 0 (b) -4 (c) 11 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102131 - 12031003?\nAnswer: -11322212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 19*i**5\/60 + i**4\/12 + 2*i**3\/3 - 52*i**2 - 1. Let m = 8 - 11. What is the hundreds digit of t(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y + 132. Let r be d(-13). Suppose 0 = r*v + 66 - 316. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-99)\/(1\/(-1)) + -7 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 10, -4, -4052 in ascending order.\nAnswer: -4052, -24, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1)\/(1*2\/1). Suppose 14*w - w - 13 = n. What is the remainder when 129 - (w + -2 + -1) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b - 45*b + 105929 = z, 5*z + 5 = 0. Suppose -119*f + 115*f + 12 = 0, 3*t + f = b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by -5003589?\nAnswer: -101\/5003589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4877 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-1) - (-3)\/(-1). Let h be 2 + ((-22)\/q)\/(-1). Which is the biggest value? (a) -3\/7 (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/8325 and 25\/217116.\nAnswer: 5427900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddrd when four letters picked without replacement from hhxrlxddmhddhhllrxrl?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 31 = 39. Suppose -b - 4123 = 15*x - 16*x, r*x = -2*b + 20643. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.66 or 1?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -17. Calculate the highest common divisor of o and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 500 + -88005\/176. Let v be (0 - (3 + -1)) + -16. Calculate the common denominator of 302\/16*(-8)\/v and o.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100 (base 3) to base 6.\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173499 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98950 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}